
Time bar (total: 5.4s)
| 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)
| 326.0ms | 8 256× | 0 | valid |
ival-atanh: 134.0ms (94.8% of total)ival-true: 5.0ms (3.5% of total)ival-assert: 3.0ms (2.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 31 | 0 | - | 31 | (0.5726778507232666) | (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 | 31 |
| - | 0 | 225 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 31 |
| - | 0 | 0 | 225 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 29.0ms | 512× | 0 | valid |
Compiled 127 to 40 computations (68.5% saved)
ival-mult: 6.0ms (33.6% of total)ival-div: 4.0ms (22.4% of total)ival-log1p: 4.0ms (22.4% of total)ival-sub: 3.0ms (16.8% of total)exact: 1.0ms (5.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 1 | 10 | 7 |
| 2 | 14 | 7 |
| 3 | 17 | 7 |
| 4 | 21 | 7 |
| 5 | 28 | 7 |
| 6 | 35 | 7 |
| 0 | 9 | 10 |
| 0 | 15 | 10 |
| 1 | 24 | 10 |
| 2 | 31 | 10 |
| 3 | 37 | 10 |
| 4 | 44 | 10 |
| 5 | 58 | 10 |
| 6 | 96 | 10 |
| 7 | 163 | 10 |
| 8 | 221 | 10 |
| 9 | 249 | 10 |
| 10 | 260 | 10 |
| 11 | 270 | 10 |
| 12 | 270 | 10 |
| 0 | 270 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) #s(literal 1/2 binary32)) |
Compiled 10 to 9 computations (10% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
Compiled 10 to 9 computations (10% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 #s(literal 2 binary32) x) | |
| cost-diff | 0 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) | |
| cost-diff | 0 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 15 | 35 |
| 1 | 24 | 35 |
| 2 | 31 | 35 |
| 3 | 37 | 35 |
| 4 | 44 | 35 |
| 5 | 58 | 35 |
| 6 | 96 | 35 |
| 7 | 163 | 35 |
| 8 | 221 | 35 |
| 9 | 249 | 35 |
| 10 | 260 | 35 |
| 11 | 270 | 35 |
| 12 | 270 | 35 |
| 0 | 270 | 35 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32)))) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
x |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) | |
| accuracy | 0.03515625 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 2.022265191969508 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 40.0ms | 256× | 0 | valid |
Compiled 76 to 20 computations (73.7% saved)
ival-log1p: 28.0ms (81% of total)ival-mult: 3.0ms (8.7% of total)ival-div: 2.0ms (5.8% of total)ival-sub: 1.0ms (2.9% 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)))))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
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 | 404 |
| 1 | 312 | 390 |
| 2 | 799 | 382 |
| 3 | 2150 | 380 |
| 4 | 4030 | 380 |
| 5 | 6476 | 380 |
| 0 | 8265 | 358 |
| 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)))))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 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 5 binary32)) #s(literal 1/5 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (pow.f32 x #s(literal 5 binary32)) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #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))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (-.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32))) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #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))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 0 | 15 | 28 |
| 1 | 54 | 28 |
| 2 | 404 | 28 |
| 3 | 5595 | 28 |
| 0 | 8636 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
| Outputs |
|---|
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
(log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) |
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32))) (+.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 2 binary32))) (+.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))))))) |
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) #s(literal -4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))) (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)))) |
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))) (log1p.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) #s(literal -4 binary32))))) |
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (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))))) (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32))))) |
(-.f32 (log.f32 (*.f32 (fma.f32 #s(literal 512 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 9 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (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))))) (log1p.f32 (fma.f32 #s(literal 64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)) (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))))) |
(-.f32 (log.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
(-.f32 (log.f32 (*.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (pow.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) #s(literal 2 binary32)))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) (/.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (/.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (pow.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (/.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) (/.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))))))) |
(-.f32 (log.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32) #s(literal -1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32) #s(literal -1 binary32))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
(-.f32 (log.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal -1 binary32)))) (log.f32 (neg.f32 (neg.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 (-.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) (*.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))))) (log.f32 (pow.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(-.f32 (log.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal -1 binary32))) (log.f32 (neg.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 (/.f32 (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
(-.f32 (log.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) #s(literal -4 binary32)))) (log.f32 (*.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (*.f32 #s(literal 64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)))) (log.f32 (*.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) (+.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) #s(literal -4 binary32))) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (*.f32 #s(literal 64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)))) (log.f32 (*.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 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1 binary32))))) |
(-.f32 (log.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32) #s(literal -1 binary32))) (log.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32) #s(literal -1 binary32)))) |
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))))) |
(-.f32 (log1p.f32 (*.f32 #s(literal 512 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 9 binary32)))) (log.f32 (*.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 (fma.f32 #s(literal 64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)) (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
(-.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32) #s(literal -1 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32) #s(literal -1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) #s(literal 1 binary32)))) |
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32)) |
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))))) |
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32))))) |
(+.f32 (log.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.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 (/.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))) #s(literal 2 binary32))))) (log1p.f32 (neg.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))))) |
(+.f32 (log.f32 (/.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))))) |
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(+.f32 (*.f32 (fma.f32 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 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(+.f32 (*.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (*.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32))) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) x)) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32))) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x))) |
(exp.f32 (*.f32 (*.f32 (-.f32 (log1p.f32 x) (log.f32 (*.f32 x #s(literal 2 binary32)))) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (-.f32 (log.f32 (*.f32 x #s(literal 2 binary32))) (log1p.f32 x)) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (-.f32 (log1p.f32 x) (log.f32 (*.f32 x #s(literal 2 binary32)))) #s(literal -1 binary32))) |
(neg.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal -2 binary32) (neg.f32 x)) |
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) x)) |
(*.f32 (neg.f32 x) #s(literal -2 binary32)) |
(*.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1 binary32)) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) x)) |
(neg.f32 (*.f32 #s(literal -2 binary32) x)) |
Compiled 4 633 to 829 computations (82.1% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 203 | 6 | 209 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 204 | 6 | 210 |
| Status | Accuracy | Program |
|---|---|---|
| 11.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))) | |
| ▶ | 68.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
| ▶ | 79.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
| ▶ | 7.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
| ▶ | 96.4% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| ▶ | 5.5% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
Compiled 258 to 180 computations (30.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) | |
| cost-diff | 0 | (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) | |
| cost-diff | 64 | (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| cost-diff | 0 | (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| cost-diff | 0 | (log.f32 #s(literal -1 binary32)) | |
| cost-diff | 0 | (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| cost-diff | 0 | (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) | |
| cost-diff | 0 | #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) | |
| cost-diff | 0 | (*.f32 #s(literal 2 binary32) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 372 |
| 0 | 78 | 372 |
| 1 | 130 | 372 |
| 2 | 265 | 372 |
| 3 | 680 | 372 |
| 4 | 2495 | 372 |
| 5 | 5513 | 372 |
| 0 | 8255 | 362 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(log.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1/3 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
x |
#s(literal 3 binary32) |
(/.f32 #s(literal -1 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.f32 x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
x |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) |
(fma.f32 x x x) |
(-.f32 #s(literal 1 binary32) (fma.f32 x x x)) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(log.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1/3 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
x |
#s(literal 3 binary32) |
(/.f32 #s(literal -1 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.f32 x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
(/.f32 (*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) |
(*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
x |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) |
(fma.f32 x x x) |
(-.f32 #s(literal 1 binary32) (fma.f32 x x x)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) | |
| accuracy | 0.22583038106720527 | (fma.f32 x x x) | |
| accuracy | 0.8748787915800389 | (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) | |
| accuracy | 0 | (*.f32 x #s(literal 2 binary32)) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| accuracy | 2.1659392958096673 | (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| accuracy | 4.893539613813053 | (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) | |
| accuracy | 0 | (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) | |
| accuracy | 0 | (log.f32 #s(literal -1 binary32)) | |
| accuracy | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) | |
| accuracy | 7.394948696855376 | (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) | |
| accuracy | 0 | #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) | |
| accuracy | 3.0350789724004037 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) | |
| accuracy | 0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) | |
| accuracy | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
| 89.0ms | 256× | 0 | invalid |
Compiled 748 to 89 computations (88.1% saved)
ival-mult: 34.0ms (48% of total)ival-div: 10.0ms (14.1% of total)ival-sub: 5.0ms (7.1% of total)ival-log1p: 5.0ms (7.1% of total)const: 4.0ms (5.6% of total)ival-pow2: 4.0ms (5.6% of total)ival-pow: 4.0ms (5.6% of total)ival-add: 3.0ms (4.2% of total)ival-log: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(log.f32 #s(literal -1 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(*.f32 x #s(literal 2 binary32)) |
(fma.f32 x x x) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(/ 1/3 (pow x 3)) |
(/ (+ 1/3 (pow x 2)) (pow x 3)) |
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3)) |
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3)) |
(/ 1/3 (pow x 3)) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* 2 x) |
(* x (+ 2 (* -2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2)))) |
(* x (+ 2 (* (pow x 2) (- (* x (- (* -2 x) 2)) 2)))) |
x |
(* 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)))))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* 2 x) |
(* x (+ 2 (* 2 (pow x 3)))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -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))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (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 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -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))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(* 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 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (- (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (/ -1 x)) (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (log -1) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (+ (* (- 1 x) x) 1) (* x 2) (+ (* x x) x) (* 2 (/ x (- 1 (pow x 3))))) |
| 8.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (- (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (/ -1 x)) (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (log -1) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (+ (* (- 1 x) x) 1) (* x 2) (+ (* x x) x) (* 2 (/ x (- 1 (pow x 3))))) |
| 5.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (- (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (/ -1 x)) (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (log -1) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (+ (* (- 1 x) x) 1) (* x 2) (+ (* x x) x) (* 2 (/ x (- 1 (pow x 3))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 307 | 2357 |
| 1 | 944 | 2288 |
| 2 | 2456 | 2235 |
| 3 | 5786 | 2231 |
| 0 | 8174 | 2077 |
| 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)))))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(/ 1/3 (pow x 3)) |
(/ (+ 1/3 (pow x 2)) (pow x 3)) |
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3)) |
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3)) |
(/ 1/3 (pow x 3)) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* 2 x) |
(* x (+ 2 (* -2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2)))) |
(* x (+ 2 (* (pow x 2) (- (* x (- (* -2 x) 2)) 2)))) |
x |
(* 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)))))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* 2 x) |
(* x (+ 2 (* 2 (pow x 3)))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -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))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (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 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -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))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(* 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 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (pow.f32 x #s(literal 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) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 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 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* 2 x) |
(*.f32 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 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) x) |
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) |
(/ 1/3 (pow x 3)) |
(/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) |
(/ (+ 1/3 (pow x 2)) (pow x 3)) |
(/.f32 (fma.f32 x x #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3)) |
(/.f32 (fma.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3)) |
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(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(/ -2 (pow x 2)) |
(/.f32 (/.f32 #s(literal -2 binary32) x) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 2 binary32) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 x #s(literal 6 binary32)))) (*.f32 x x)) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) x) x))) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)) |
(log 3) |
(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) (* -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 |
#s(literal 2 binary32) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(+ 2 (* -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)) |
(* -2 (pow x 3)) |
(*.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* 2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2 binary32)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(fma.f32 #s(literal 4 binary32) x (*.f32 (*.f32 x x) #s(literal 2 binary32))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(*.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) x) x) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(fma.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal -4 binary32)) x (*.f32 (*.f32 x x) #s(literal 2 binary32))) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) x) x))) |
(* -1 (pow x 2)) |
(*.f32 (neg.f32 x) x) |
(* (pow x 2) (- (/ 1 x) 1)) |
(-.f32 x (*.f32 x x)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(/ -2 (pow x 2)) |
(/.f32 (/.f32 #s(literal -2 binary32) x) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 2 binary32) x)) x) |
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2)) |
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) x) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 4 binary32)))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 295 |
| 0 | 78 | 295 |
| 1 | 301 | 235 |
| 2 | 2703 | 235 |
| 0 | 9201 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(log.f32 #s(literal -1 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(*.f32 x #s(literal 2 binary32)) |
(fma.f32 x x x) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
| Outputs |
|---|
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(log.f32 (+.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32))) |
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(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32)))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x))) (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)))) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 3 binary32))))) (/.f32 x (fma.f32 (fma.f32 x x x) (+.f32 (fma.f32 x x x) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))))) (/.f32 x (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) #s(literal 1 binary32)) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (/.f32 x (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) #s(literal 1 binary32)) |
(fma.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 3 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (fma.f32 x x x) (+.f32 (fma.f32 x x x) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) |
(fma.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) |
(fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(fma.f32 x (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 (exp.f32 (log1p.f32 x)) x) |
(*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)) x) |
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 x x x)) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x x)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) x)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (*.f32 x x)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) x) |
(*.f32 (sqrt.f32 (fma.f32 x x x)) (sqrt.f32 (fma.f32 x x x))) |
(*.f32 (+.f32 x #s(literal 1 binary32)) x) |
(*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) x))) |
(*.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (*.f32 x x)) (pow.f32 x #s(literal 4 binary32))))) |
(*.f32 (fma.f32 x x x) #s(literal 1 binary32)) |
(*.f32 x (+.f32 x #s(literal 1 binary32))) |
(*.f32 #s(literal 1 binary32) (fma.f32 x x x)) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))) (neg.f32 (-.f32 (*.f32 x x) x))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (fma.f32 x (-.f32 x (*.f32 x x)) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (-.f32 x (*.f32 x x)))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))) (neg.f32 (neg.f32 (-.f32 (*.f32 x x) x)))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 x (-.f32 x (*.f32 x x)) (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))) (exp.f32 (log.f32 (-.f32 (*.f32 x x) x)))) |
(/.f32 (exp.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32))))) (exp.f32 (log.f32 (fma.f32 x (-.f32 x (*.f32 x x)) (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))) (-.f32 (*.f32 x x) x)) |
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x (-.f32 x (*.f32 x x)) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (-.f32 (*.f32 x x) (pow.f32 x #s(literal 4 binary32))) (-.f32 x (*.f32 x x))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))) (neg.f32 (-.f32 (*.f32 x x) x))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 x #s(literal 3 binary32)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (-.f32 x (*.f32 x x)) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) (-.f32 (*.f32 x x) x)) |
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x (-.f32 x (*.f32 x x)) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (*.f32 x x) x) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 x (-.f32 x (*.f32 x x)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 x x) x) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (-.f32 x (*.f32 x x)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32))))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 x (*.f32 x x)))) |
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) x)) (/.f32 (*.f32 x x) (-.f32 (*.f32 x x) x))) |
(fma.f32 (neg.f32 x) (neg.f32 x) x) |
(fma.f32 (*.f32 x x) #s(literal 1 binary32) x) |
(fma.f32 x x x) |
(fma.f32 x #s(literal 1 binary32) (*.f32 x x)) |
(fma.f32 #s(literal 1 binary32) (*.f32 x x) x) |
(fma.f32 #s(literal 1 binary32) x (*.f32 x x)) |
(pow.f32 (sqrt.f32 (fma.f32 x x x)) #s(literal 2 binary32)) |
(pow.f32 (/.f32 (-.f32 (*.f32 x x) x) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 x (-.f32 x (*.f32 x x)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (fma.f32 x x x) #s(literal 1 binary32)) |
(+.f32 (*.f32 x x) x) |
(+.f32 x (*.f32 x x)) |
(exp.f32 (log.f32 (fma.f32 x x x))) |
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (/.f32 x #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 (*.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -2 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 3 binary32)))) #s(literal 2 binary32)) |
(*.f32 #s(literal -2 binary32) (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 x (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (*.f32 #s(literal -2 binary32) x)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(/.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 x #s(literal 2 binary32))))) |
(/.f32 #s(literal -2 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x))) |
(/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 x #s(literal 2 binary32)))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (/.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 x #s(literal 2 binary32))) #s(literal -1 binary32)) |
Compiled 26 454 to 3 174 computations (88% saved)
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 808 | 7 | 815 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 812 | 9 | 821 |
| Status | Accuracy | Program |
|---|---|---|
| 68.7% | (*.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)) | |
| ▶ | 7.9% | (*.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) |
| 21.6% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| ▶ | 91.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
| ✓ | 7.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
| ▶ | 15.4% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
| ✓ | 96.4% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| ▶ | 68.5% | #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
| ▶ | 3.2% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) x))) |
Compiled 412 to 288 computations (30.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) | |
| cost-diff | 64 | (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) | |
| cost-diff | 320 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) | |
| cost-diff | 0 | (pow.f32 x #s(literal -3 binary32)) | |
| cost-diff | 0 | (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) x))) | |
| cost-diff | 64 | (-.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) x)) | |
| cost-diff | 0 | (pow.f32 x #s(literal 3 binary32)) | |
| cost-diff | 0 | (fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) | |
| cost-diff | 0 | (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) | |
| cost-diff | 0 | (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| cost-diff | 0 | (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 460 |
| 0 | 87 | 457 |
| 1 | 143 | 455 |
| 2 | 236 | 455 |
| 3 | 384 | 455 |
| 4 | 838 | 455 |
| 5 | 1892 | 455 |
| 6 | 4366 | 455 |
| 0 | 8210 | 428 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 x #s(literal 2 binary32)) |
x |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
#s(literal -10/3 binary32) |
(*.f32 x x) |
x |
#s(literal 2 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
#s(literal -5/3 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
x |
#s(literal 3 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) x))) |
(-.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) x)) |
(fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) |
(pow.f32 x #s(literal -3 binary32)) |
x |
#s(literal -3 binary32) |
#s(literal 1/3 binary32) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(log.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal -1 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) |
#s(literal 1/2 binary32) |
(+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
(neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
x |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
(*.f32 #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) |
#s(literal -10/3 binary32) |
(*.f32 x x) |
x |
#s(literal 2 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
#s(literal -5/3 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
x |
#s(literal 3 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal -3 binary32)) (/.f32 #s(literal 1 binary32) x)))) |
(-.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal -3 binary32)) (/.f32 #s(literal 1 binary32) x))) |
(fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal -3 binary32)) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) |
(pow.f32 x #s(literal -3 binary32)) |
x |
#s(literal -3 binary32) |
#s(literal 1/3 binary32) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(log.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal -1 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) |
(*.f32 (-.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) #s(literal -1/2 binary32)) |
#s(literal 1/2 binary32) |
(+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(-.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
(log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
(neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
(neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) | |
| accuracy | 0 | (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) | |
| accuracy | 0 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) | |
| accuracy | 0 | #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) | |
| accuracy | 0 | (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) | |
| accuracy | 0 | (log.f32 #s(literal -1 binary32)) | |
| accuracy | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) x))) | |
| accuracy | 6.308015759500339 | (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) | |
| accuracy | 0 | (pow.f32 x #s(literal 3 binary32)) | |
| accuracy | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) | |
| accuracy | 1.9488317901695869 | (fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) | |
| accuracy | 0 | (*.f32 x x) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) | |
| accuracy | 0 | #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) | |
| accuracy | 4.843308864044643 | (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) | |
| accuracy | 0 | (*.f32 x #s(literal 2 binary32)) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| accuracy | 0 | #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) | |
| accuracy | 28.21227663755987 | (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
| 95.0ms | 256× | 0 | invalid |
Compiled 852 to 109 computations (87.2% saved)
ival-mult: 24.0ms (30.5% of total)ival-sub: 11.0ms (14% of total)const: 9.0ms (11.4% of total)ival-pow: 9.0ms (11.4% of total)ival-div: 7.0ms (8.9% of total)ival-add: 6.0ms (7.6% of total)ival-log1p: 6.0ms (7.6% of total)ival-log: 5.0ms (6.4% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
(-.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) x))) |
(fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) |
(pow.f32 x #s(literal -3 binary32)) |
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
(+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) |
(log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 x x) |
(log.f32 #s(literal -1 binary32)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
(neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
2 |
(+ 2 (* -10/3 (pow x 2))) |
(+ 2 (* -10/3 (pow x 2))) |
(+ 2 (* -10/3 (pow x 2))) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ 1/3 (pow x 3)) |
(/ (+ 1/3 (pow x 2)) (pow x 3)) |
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3)) |
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3)) |
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)))))))) |
(/ 1/3 (pow x 3)) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(* 2 x) |
(* x (+ 2 (* 4 x))) |
(* x (+ 2 (* x (+ 4 (* 26/3 x))))) |
(* x (+ 2 (* x (+ 4 (* x (+ 26/3 (* 20 x))))))) |
(* 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 |
(* 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)))))))) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* -8 x) 4)) |
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4)) |
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* -2 x) |
(* x (- (* -2 x) 2)) |
(* x (- (* x (- (* -2 x) 2)) 2)) |
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2)) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(* -10/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* -10/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* 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)))) |
(* -5/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 5/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 5/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 5/3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(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))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(log 1/3) |
(- (log 1/3) (* 2/3 (/ 1 x))) |
(+ (log 1/3) (* -1 (/ (+ 2/3 (* 4/9 (/ 1 x))) x))) |
(- (+ (log 1/3) (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) (pow x 2)))) (* 2/3 (/ 1 x))) |
(+ (log -3) (log 1/3)) |
(+ (log -3) (+ (log 1/3) (* 2 (/ 1 x)))) |
(+ (log -3) (+ (log 1/3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))) |
(+ (log -3) (+ (log 1/3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))) |
(* 1/2 (+ (log -3) (log 1/3))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -3) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3)))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(pow x 2) |
(pow x 2) |
(pow 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)))) |
2 |
(+ 2 (* 2 (/ 1 x))) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) 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 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(* -10/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(* -10/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* 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 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(* -5/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 5/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 5/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 5/3 (/ 1 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(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))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(log 1/3) |
(- (log 1/3) (* 2/3 (/ 1 x))) |
(+ (log 1/3) (* -1 (/ (+ 2/3 (* 4/9 (/ 1 x))) x))) |
(+ (log 1/3) (* -1 (/ (+ 2/3 (+ (/ 26/81 (pow x 2)) (* 4/9 (/ 1 x)))) x))) |
(+ (log -3) (log 1/3)) |
(+ (log -3) (+ (log 1/3) (* 2 (/ 1 x)))) |
(+ (log -3) (+ (log 1/3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))) |
(+ (log -3) (+ (log 1/3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))) |
(* 1/2 (+ (log -3) (log 1/3))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (+ (log -3) (log 1/3)))) |
(log -3) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
2 |
(+ 2 (* 2 (/ 1 x))) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (+ (* -5/3 (pow x 3)) x) (pow x 3) (- (+ (* (pow x -3) 1/3) (* (log -1) 1/2)) (/ -1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x -3) 1/3) (* (log -1) 1/2)) (pow x -3) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))) (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x)))))) (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (* x 2) (* x x) (log -1) (* (log -1) 1/2) (/ (* 2 x) (- 1 x)) (neg (/ (* 2 x) (- 1 x)))) |
| 6.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (+ (* -5/3 (pow x 3)) x) (pow x 3) (- (+ (* (pow x -3) 1/3) (* (log -1) 1/2)) (/ -1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x -3) 1/3) (* (log -1) 1/2)) (pow x -3) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))) (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x)))))) (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (* x 2) (* x x) (log -1) (* (log -1) 1/2) (/ (* 2 x) (- 1 x)) (neg (/ (* 2 x) (- 1 x)))) |
| 4.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (+ (* -5/3 (pow x 3)) x) (pow x 3) (- (+ (* (pow x -3) 1/3) (* (log -1) 1/2)) (/ -1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x -3) 1/3) (* (log -1) 1/2)) (pow x -3) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))) (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x)))))) (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (* x 2) (* x x) (log -1) (* (log -1) 1/2) (/ (* 2 x) (- 1 x)) (neg (/ (* 2 x) (- 1 x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 347 | 2429 |
| 1 | 1014 | 2340 |
| 2 | 2596 | 2317 |
| 3 | 5722 | 2293 |
| 0 | 8110 | 2143 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
2 |
(+ 2 (* -10/3 (pow x 2))) |
(+ 2 (* -10/3 (pow x 2))) |
(+ 2 (* -10/3 (pow x 2))) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ 1/3 (pow x 3)) |
(/ (+ 1/3 (pow x 2)) (pow x 3)) |
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3)) |
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3)) |
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)))))))) |
(/ 1/3 (pow x 3)) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(* 2 x) |
(* x (+ 2 (* 4 x))) |
(* x (+ 2 (* x (+ 4 (* 26/3 x))))) |
(* x (+ 2 (* x (+ 4 (* x (+ 26/3 (* 20 x))))))) |
(* 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 |
(* 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)))))))) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* -8 x) 4)) |
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4)) |
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* -2 x) |
(* x (- (* -2 x) 2)) |
(* x (- (* x (- (* -2 x) 2)) 2)) |
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2)) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(* -10/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* -10/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* 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)))) |
(* -5/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 5/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 5/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 5/3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(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))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(log 1/3) |
(- (log 1/3) (* 2/3 (/ 1 x))) |
(+ (log 1/3) (* -1 (/ (+ 2/3 (* 4/9 (/ 1 x))) x))) |
(- (+ (log 1/3) (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) (pow x 2)))) (* 2/3 (/ 1 x))) |
(+ (log -3) (log 1/3)) |
(+ (log -3) (+ (log 1/3) (* 2 (/ 1 x)))) |
(+ (log -3) (+ (log 1/3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))) |
(+ (log -3) (+ (log 1/3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))) |
(* 1/2 (+ (log -3) (log 1/3))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -3) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3)))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(pow x 2) |
(pow x 2) |
(pow 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)))) |
2 |
(+ 2 (* 2 (/ 1 x))) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) 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 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(* -10/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(* -10/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* 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 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(* -5/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 5/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 5/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 5/3 (/ 1 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(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))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(log 1/3) |
(- (log 1/3) (* 2/3 (/ 1 x))) |
(+ (log 1/3) (* -1 (/ (+ 2/3 (* 4/9 (/ 1 x))) x))) |
(+ (log 1/3) (* -1 (/ (+ 2/3 (+ (/ 26/81 (pow x 2)) (* 4/9 (/ 1 x)))) x))) |
(+ (log -3) (log 1/3)) |
(+ (log -3) (+ (log 1/3) (* 2 (/ 1 x)))) |
(+ (log -3) (+ (log 1/3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))) |
(+ (log -3) (+ (log 1/3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))) |
(* 1/2 (+ (log -3) (log 1/3))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (+ (log -3) (log 1/3)))) |
(log -3) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
2 |
(+ 2 (* 2 (/ 1 x))) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -10/3 (pow x 2))) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(+ 2 (* -10/3 (pow x 2))) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(+ 2 (* -10/3 (pow x 2))) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(/ 1/3 (pow x 3)) |
(/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) |
(/ (+ 1/3 (pow x 2)) (pow x 3)) |
(/.f32 (fma.f32 x x #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3)) |
(/.f32 (fma.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3)) |
(/.f32 (fma.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(/ 1/3 (pow x 3)) |
(/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 3 binary32))) (log.f32 #s(literal -1 binary32)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 3 binary32))) (log.f32 #s(literal -1 binary32)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) |
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 3 binary32))) (log.f32 #s(literal -1 binary32)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(/ 1 (pow x 3)) |
(/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(/ 1 (pow x 3)) |
(/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(/ 1 (pow x 3)) |
(/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(/ 1 (pow x 3)) |
(/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 4 x))) |
(*.f32 (fma.f32 #s(literal 4 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 4 (* 26/3 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 26/3 binary32) x #s(literal 4 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 4 (* x (+ 26/3 (* 20 x))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 20 binary32) x #s(literal 26/3 binary32)) x #s(literal 4 binary32)) x #s(literal 2 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 |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* -4 (pow x 2)) |
(*.f32 #s(literal -4 binary32) (*.f32 x x)) |
(* (pow x 2) (- (* -8 x) 4)) |
(*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x) |
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4)) |
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -20 binary32) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x) |
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4)) |
(*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -48 binary32) x #s(literal -20 binary32)) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x) |
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(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)) |
(log 3) |
(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) (* -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)) |
(* -10/3 (pow x 3)) |
(*.f32 #s(literal -10/3 binary32) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 10/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 10/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 10/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -10/3 (pow x 2)) |
(*.f32 #s(literal -10/3 binary32) (*.f32 x x)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(*.f32 (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 10/3 binary32)) x) x) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(*.f32 (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 10/3 binary32)) x) x) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(*.f32 (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 10/3 binary32)) x) x) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)) |
(* -5/3 (pow x 3)) |
(*.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (- 5/3 (/ 1 (pow x 2))))) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* -1 (* (pow x 3) (- 5/3 (/ 1 (pow x 2))))) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* -1 (* (pow x 3) (- 5/3 (/ 1 (pow x 2))))) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/ 1 (pow x 3)) |
(/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(/ 1 (pow x 3)) |
(/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(/ 1 (pow x 3)) |
(/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(/ 1 (pow x 3)) |
(/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(log 1/3) |
(log.f32 #s(literal 1/3 binary32)) |
(- (log 1/3) (* 2/3 (/ 1 x))) |
(-.f32 (log.f32 #s(literal 1/3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) |
(+ (log 1/3) (* -1 (/ (+ 2/3 (* 4/9 (/ 1 x))) x))) |
(-.f32 (log.f32 #s(literal 1/3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 4/9 binary32) x) #s(literal 2/3 binary32)) x)) |
(+ (log 1/3) (* -1 (/ (+ 2/3 (+ (/ 26/81 (pow x 2)) (* 4/9 (/ 1 x)))) x))) |
(+.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -4/9 binary32) (/.f32 #s(literal 26/81 binary32) x)) x) #s(literal -2/3 binary32)) x) (log.f32 #s(literal 1/3 binary32))) |
(+ (log -3) (log 1/3)) |
(+.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 1/3 binary32))) |
(+ (log -3) (+ (log 1/3) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (log.f32 #s(literal 1/3 binary32)) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -3 binary32))) |
(+ (log -3) (+ (log 1/3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal 1/3 binary32))) (log.f32 #s(literal -3 binary32))) |
(+ (log -3) (+ (log 1/3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))) |
(-.f32 (+.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 1/3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) x) x) #s(literal 2 binary32)) x)) |
(* 1/2 (+ (log -3) (log 1/3))) |
(*.f32 (+.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 1/3 binary32))) #s(literal 1/2 binary32)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(fma.f32 (+.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 1/3 binary32))) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (+.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 1/3 binary32))) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (+ (log -3) (log 1/3)))) |
(fma.f32 (+.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 1/3 binary32))) #s(literal 1/2 binary32) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) x))) |
(log -3) |
(log.f32 #s(literal -3 binary32)) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 8/3 binary32) x) (log.f32 #s(literal -3 binary32))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 8/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) (log.f32 #s(literal -3 binary32))) |
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x))) |
(-.f32 (log.f32 #s(literal -3 binary32)) (/.f32 (-.f32 #s(literal -8/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 80/81 binary32) x) #s(literal 4/9 binary32)) x)) x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (-.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) #s(literal 2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* 2 (/ 1 x))) |
(-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal -2 binary32)) |
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal -2 binary32)) x) #s(literal -2 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 385 |
| 0 | 87 | 382 |
| 1 | 334 | 328 |
| 2 | 2647 | 328 |
| 0 | 8992 | 306 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
(-.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) x)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) x))) |
(fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) |
(pow.f32 x #s(literal -3 binary32)) |
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
(+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) |
(log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 x x) |
(log.f32 #s(literal -1 binary32)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
(neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
| Outputs |
|---|
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log.f32 (+.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)))) (log1p.f32 (neg.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
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(pow.f32 (/.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) (*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) (-.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 2 binary32))) (fma.f32 #s(literal -1 binary32) (pow.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(+.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32))) (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(+.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(/.f32 (*.f32 (*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) #s(literal 1/2 binary32)) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(/.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (fma.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) (-.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 2 binary32)))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 3 binary32)))) (fma.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) (-.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) #s(literal 1/2 binary32)) #s(literal 2 binary32))) (-.f32 (*.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 1/2 binary32)) (*.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) #s(literal 1/2 binary32)))) |
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 3 binary32)) (*.f32 #s(literal 1/8 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 1/2 binary32)) (*.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) #s(literal 1/2 binary32)))))) |
(fma.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 1/2 binary32) (*.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) #s(literal 1/2 binary32))) |
(fma.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) #s(literal 1/2 binary32) (*.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 1/2 binary32))) |
(fma.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (*.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) #s(literal 1/2 binary32))) |
(fma.f32 #s(literal 1/2 binary32) (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) (*.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 1/2 binary32))) |
(+.f32 (*.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) #s(literal 1/2 binary32)) (*.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 1/2 binary32))) |
(+.f32 (*.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #s(literal 1/2 binary32)) (*.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) #s(literal 1/2 binary32))) |
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) |
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 6 binary32)))) (log1p.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 4 binary32)) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32))))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 4 binary32))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32)))))) |
(-.f32 (log.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 6 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 4 binary32))) (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 4 binary32)))) (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 6 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32)))))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 6 binary32)))) (log1p.f32 (-.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 4 binary32)) (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 4 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 4 binary32))) (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (fma.f32 #s(literal -1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 6 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32)))))) |
(+.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 6 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 4 binary32))) (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 4 binary32)))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 4 binary32))) (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (fma.f32 #s(literal -1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 6 binary32)) #s(literal 1 binary32))))) |
(log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 (neg.f32 x) (neg.f32 x)) |
(*.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
(*.f32 #s(literal 1 binary32) (*.f32 x x)) |
(pow.f32 (neg.f32 x) #s(literal 2 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 1 binary32)) |
(pow.f32 x #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) |
(log.f32 #s(literal -1 binary32)) |
(neg.f32 (log.f32 #s(literal -1 binary32))) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(*.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
(*.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (*.f32 #s(literal 0 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(/.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (+.f32 #s(literal 0 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(-.f32 #s(literal 0 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
(+.f32 #s(literal 0 binary32) (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
Compiled 28 900 to 2 273 computations (92.1% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 692 | 8 | 700 |
| Fresh | 1 | 1 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 696 | 13 | 709 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.6% | (*.f32 #s(literal 1/2 binary32) (+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) |
| 21.6% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| ▶ | 87.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))) |
| ✓ | 91.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
| ▶ | 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))))) |
| ▶ | 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
| 95.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| ✓ | 7.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
| ✓ | 70.4% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
| ✓ | 96.4% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| 68.5% | #s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)) | |
| ▶ | 68.6% | #s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
| 8.7% | #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))) |
Compiled 713 to 465 computations (34.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) | |
| cost-diff | 0 | (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))) | |
| cost-diff | 0 | #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) | |
| cost-diff | 64 | (+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) | |
| cost-diff | 320 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) | |
| cost-diff | 0 | (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) | |
| cost-diff | 0 | #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| cost-diff | 0 | (pow.f32 x #s(literal 3 binary32)) | |
| cost-diff | 0 | (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) | |
| cost-diff | 0 | #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))) | |
| cost-diff | 0 | (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 592 |
| 0 | 97 | 578 |
| 1 | 179 | 563 |
| 2 | 347 | 563 |
| 3 | 834 | 563 |
| 4 | 2518 | 563 |
| 5 | 5394 | 552 |
| 0 | 8192 | 528 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x)))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 x #s(literal 2 binary32)) |
x |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x)) |
#s(literal 1 binary32) |
(*.f32 (*.f32 x x) x) |
(*.f32 x x) |
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
#s(literal 1/3 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
x |
#s(literal 3 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) |
#s(literal 2 binary32) |
x |
#s(literal -2 binary32) |
(*.f32 #s(literal 1/2 binary32) (+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) |
#s(literal 1/2 binary32) |
(+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
#s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) |
(*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x) |
(*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) |
(fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) |
#s(literal -8 binary32) |
x |
#s(literal -4 binary32) |
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 x #s(literal 2 binary32)) |
x |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) |
#s(literal 1 binary32) |
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) |
(*.f32 x x) |
#s(literal 3/2 binary32) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))))) |
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x)))) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
x |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x)) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1 binary32) |
(*.f32 (*.f32 x x) x) |
(pow.f32 x #s(literal 3 binary32)) |
(*.f32 x x) |
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x) |
#s(literal 1/3 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
x |
#s(literal 3 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) |
#s(literal 2 binary32) |
x |
#s(literal -2 binary32) |
(*.f32 #s(literal 1/2 binary32) (+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) |
(*.f32 (-.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(-.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
#s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) |
(*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x) |
(*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) |
(fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) |
#s(literal -8 binary32) |
x |
#s(literal -4 binary32) |
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
(neg.f32 (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))) |
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
x |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))) |
#s(literal 1 binary32) |
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) |
(*.f32 x x) |
#s(literal 3/2 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) | |
| accuracy | 0.0703125 | (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) | |
| accuracy | 1.8926228114377404 | #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) | |
| accuracy | 4.0354796650069416 | (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))) | |
| accuracy | 1.3872358462555776 | #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) | |
| accuracy | 5.556397143323172 | (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) | |
| accuracy | 25.10919241617884 | (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) | |
| accuracy | 29.32198984934634 | #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) | |
| accuracy | 2.738116298767683 | (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) | |
| accuracy | 7.492757621013727 | (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) | |
| accuracy | 7.6403350985700325 | (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) | |
| accuracy | 7.96882980201864 | (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) | |
| accuracy | 0 | (pow.f32 x #s(literal 3 binary32)) | |
| accuracy | 0.5183759850706834 | #s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) | |
| accuracy | 14.616310563009554 | (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) | |
| accuracy | 0.0390625 | (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))) | |
| accuracy | 0.0546875 | (*.f32 (*.f32 x x) x) | |
| accuracy | 1.8926228114377404 | #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) | |
| accuracy | 2.7526076776863455 | (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x)))) |
| 172.0ms | 185× | 1 | valid |
| 121.0ms | 69× | 0 | valid |
| 1.0ms | 2× | 0 | invalid |
Compiled 1 094 to 121 computations (88.9% saved)
ival-mult: 152.0ms (57.6% of total)ival-log1p: 24.0ms (9.1% of total)adjust: 19.0ms (7.2% of total)ival-add: 15.0ms (5.7% of total)ival-sub: 14.0ms (5.3% of total)ival-div: 14.0ms (5.3% of total)ival-log: 10.0ms (3.8% of total)ival-pow: 9.0ms (3.4% of total)const: 4.0ms (1.5% of total)ival-neg: 2.0ms (0.8% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))))) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x)))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) |
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
(+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) |
#s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) |
(*.f32 (*.f32 x x) x) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
(fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* 2 x) |
(* x (+ 2 (* 4 x))) |
(* x (+ 2 (* x (+ 4 (* 26/3 x))))) |
(* x (+ 2 (* x (+ 4 (* x (+ 26/3 (* 20 x))))))) |
(* 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 |
(* 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)))))))) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* -8 x) 4)) |
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4)) |
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4)) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* -2 x)))) |
(+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* 2 x) 2))) |
-2 |
(- (* 2 x) 2) |
(- (* 2 x) 2) |
(- (* 2 x) 2) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
-4 |
(- (* -8 x) 4) |
(- (* -8 x) 4) |
(- (* -8 x) 4) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* 1/2 (+ (log -3) (log 1/3))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* 2 (pow x 4)) |
(* (pow x 4) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 4) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 4) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(log 1/3) |
(- (log 1/3) (* 2/3 (/ 1 x))) |
(+ (log 1/3) (* -1 (/ (+ 2/3 (* 4/9 (/ 1 x))) x))) |
(- (+ (log 1/3) (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) (pow x 2)))) (* 2/3 (/ 1 x))) |
(+ (log -3) (log 1/3)) |
(+ (log -3) (+ (log 1/3) (* 2 (/ 1 x)))) |
(+ (log -3) (+ (log 1/3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))) |
(+ (log -3) (+ (log 1/3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))) |
(* 1/2 (+ (log -3) (log 1/3))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -3) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3)))))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 2 (pow x 3)) |
(* (pow x 3) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* 2 x) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* x (- 2 (* 2 (/ 1 x)))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* -8 x) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 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 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* 1/2 (+ (log -3) (log 1/3))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (+ (log -3) (log 1/3)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 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 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* 2 (pow x 4)) |
(* (pow x 4) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 2 (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) x)))) |
(log 1/3) |
(- (log 1/3) (* 2/3 (/ 1 x))) |
(+ (log 1/3) (* -1 (/ (+ 2/3 (* 4/9 (/ 1 x))) x))) |
(+ (log 1/3) (* -1 (/ (+ 2/3 (+ (/ 26/81 (pow x 2)) (* 4/9 (/ 1 x)))) x))) |
(+ (log -3) (log 1/3)) |
(+ (log -3) (+ (log 1/3) (* 2 (/ 1 x)))) |
(+ (log -3) (+ (log 1/3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))) |
(+ (log -3) (+ (log 1/3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))) |
(* 1/2 (+ (log -3) (log 1/3))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (+ (log -3) (log 1/3)))) |
(log -3) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x))) |
(* 1/2 (log -1)) |
(- (* 1/2 (log -1)) (/ 1 x)) |
(+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) (* 1/2 (log -1))) |
(+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 13/3 (pow x 2)))) x)) (* 1/2 (log -1))) |
(log -1) |
(- (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (* -1 (/ (+ 2 (* 4 (/ 1 x))) x))) |
(+ (log -1) (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 26/3 (pow x 2)))) x))) |
-2 |
(- (* 2 (/ 1 x)) 2) |
(- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) |
(- (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)) 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 2 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) x)) 2))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* 2 x) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -8 x) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (* (* x x) x)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (* (* x x) x))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (* (* x x) x))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (+ (* 1/3 (pow x 3)) x) (pow x 3) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (+ (* (+ (* 2 x) -2) x) 2) x) 2) x) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))) (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x)))))) (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow (* x x) 3/2)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow (* x x) 3/2))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow (* x x) 3/2))) (* (* x x) x) (+ (* (+ (* (+ (* 2 x) -2) x) 2) x) 2) (+ (* (+ (* 2 x) -2) x) 2) (+ (* 2 x) -2) (/ (* 2 x) (- 1 x)) (+ (* -8 x) -4) (pow (* x x) 3/2)) |
| 3.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (* (* x x) x)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (* (* x x) x))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (* (* x x) x))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (+ (* 1/3 (pow x 3)) x) (pow x 3) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (+ (* (+ (* 2 x) -2) x) 2) x) 2) x) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))) (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x)))))) (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow (* x x) 3/2)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow (* x x) 3/2))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow (* x x) 3/2))) (* (* x x) x) (+ (* (+ (* (+ (* 2 x) -2) x) 2) x) 2) (+ (* (+ (* 2 x) -2) x) 2) (+ (* 2 x) -2) (/ (* 2 x) (- 1 x)) (+ (* -8 x) -4) (pow (* x x) 3/2)) |
| 3.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (* (* x x) x)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (* (* x x) x))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (* (* x x) x))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (+ (* 1/3 (pow x 3)) x) (pow x 3) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (+ (* (+ (* 2 x) -2) x) 2) x) 2) x) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))) (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x)))))) (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow (* x x) 3/2)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow (* x x) 3/2))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow (* x x) 3/2))) (* (* x x) x) (+ (* (+ (* (+ (* 2 x) -2) x) 2) x) 2) (+ (* (+ (* 2 x) -2) x) 2) (+ (* 2 x) -2) (/ (* 2 x) (- 1 x)) (+ (* -8 x) -4) (pow (* x x) 3/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 374 | 2651 |
| 1 | 1106 | 2529 |
| 2 | 2870 | 2506 |
| 3 | 6529 | 2486 |
| 0 | 8378 | 2323 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* 2 x) |
(* x (+ 2 (* 4 x))) |
(* x (+ 2 (* x (+ 4 (* 26/3 x))))) |
(* x (+ 2 (* x (+ 4 (* x (+ 26/3 (* 20 x))))))) |
(* 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 |
(* 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)))))))) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* -8 x) 4)) |
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4)) |
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4)) |
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* -2 x)))) |
(+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* 2 x) 2))) |
-2 |
(- (* 2 x) 2) |
(- (* 2 x) 2) |
(- (* 2 x) 2) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
-4 |
(- (* -8 x) 4) |
(- (* -8 x) 4) |
(- (* -8 x) 4) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* 1/2 (+ (log -3) (log 1/3))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* 2 (pow x 4)) |
(* (pow x 4) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 4) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 4) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(log 1/3) |
(- (log 1/3) (* 2/3 (/ 1 x))) |
(+ (log 1/3) (* -1 (/ (+ 2/3 (* 4/9 (/ 1 x))) x))) |
(- (+ (log 1/3) (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) (pow x 2)))) (* 2/3 (/ 1 x))) |
(+ (log -3) (log 1/3)) |
(+ (log -3) (+ (log 1/3) (* 2 (/ 1 x)))) |
(+ (log -3) (+ (log 1/3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))) |
(+ (log -3) (+ (log 1/3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))) |
(* 1/2 (+ (log -3) (log 1/3))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -3) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3)))))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 2 (pow x 3)) |
(* (pow x 3) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* 2 x) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* x (- 2 (* 2 (/ 1 x)))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* -8 x) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 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 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* 1/2 (+ (log -3) (log 1/3))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (+ (log -3) (log 1/3)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 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 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* 2 (pow x 4)) |
(* (pow x 4) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 2 (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) x)))) |
(log 1/3) |
(- (log 1/3) (* 2/3 (/ 1 x))) |
(+ (log 1/3) (* -1 (/ (+ 2/3 (* 4/9 (/ 1 x))) x))) |
(+ (log 1/3) (* -1 (/ (+ 2/3 (+ (/ 26/81 (pow x 2)) (* 4/9 (/ 1 x)))) x))) |
(+ (log -3) (log 1/3)) |
(+ (log -3) (+ (log 1/3) (* 2 (/ 1 x)))) |
(+ (log -3) (+ (log 1/3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))) |
(+ (log -3) (+ (log 1/3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))) |
(* 1/2 (+ (log -3) (log 1/3))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (+ (log -3) (log 1/3)))) |
(log -3) |
(+ (log -3) (* 8/3 (/ 1 x))) |
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x))) |
(* 1/2 (log -1)) |
(- (* 1/2 (log -1)) (/ 1 x)) |
(+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) (* 1/2 (log -1))) |
(+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 13/3 (pow x 2)))) x)) (* 1/2 (log -1))) |
(log -1) |
(- (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (* -1 (/ (+ 2 (* 4 (/ 1 x))) x))) |
(+ (log -1) (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 26/3 (pow x 2)))) x))) |
-2 |
(- (* 2 (/ 1 x)) 2) |
(- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) |
(- (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)) 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 2 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) x)) 2))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* 2 x) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -8 x) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
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(* 1/2 (+ (log -3) (log 1/3))) |
(*.f32 (+.f32 (log.f32 #s(literal 1/3 binary32)) (log.f32 #s(literal -3 binary32))) #s(literal 1/2 binary32)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(fma.f32 (+.f32 (log.f32 #s(literal 1/3 binary32)) (log.f32 #s(literal -3 binary32))) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (+.f32 (log.f32 #s(literal 1/3 binary32)) (log.f32 #s(literal -3 binary32))) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f32 (+.f32 (log.f32 #s(literal 1/3 binary32)) (log.f32 #s(literal -3 binary32))) #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(log -3) |
(log.f32 #s(literal -3 binary32)) |
(+ (log -3) (* 8/3 (/ 1 x))) |
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(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) x)) (/.f32 #s(literal 1/3 binary32) x)) |
(log 3) |
(log.f32 #s(literal 3 binary32)) |
(- (log 3) (* 2/3 (/ 1 x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
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(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
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2 |
#s(literal 2 binary32) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
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(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 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 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
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(*.f32 (*.f32 x x) #s(literal 2 binary32)) |
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(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (*.f32 x x)) |
(* 2 x) |
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(* x (- 2 (* 2 (/ 1 x)))) |
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(* x (- 2 (* 2 (/ 1 x)))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
(* x (- 2 (* 2 (/ 1 x)))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
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(* -8 x) |
(*.f32 #s(literal -8 binary32) x) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) |
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(fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
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(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
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(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)) |
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2 |
#s(literal 2 binary32) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
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(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
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(* 1/2 (+ (log -3) (log 1/3))) |
(*.f32 (+.f32 (log.f32 #s(literal 1/3 binary32)) (log.f32 #s(literal -3 binary32))) #s(literal 1/2 binary32)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(fma.f32 (+.f32 (log.f32 #s(literal 1/3 binary32)) (log.f32 #s(literal -3 binary32))) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
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(* 1/3 (pow x 3)) |
(*.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
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(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)) |
(log 3) |
(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)) |
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2 |
#s(literal 2 binary32) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
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(* 2 (pow x 4)) |
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2 binary32)) |
(* (pow x 4) (- 2 (* 2 (/ 1 x)))) |
(*.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))) |
(* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
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(log 1/3) |
(log.f32 #s(literal 1/3 binary32)) |
(- (log 1/3) (* 2/3 (/ 1 x))) |
(-.f32 (log.f32 #s(literal 1/3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) |
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(+ (log -3) (+ (log 1/3) (* 2 (/ 1 x)))) |
(-.f32 (+.f32 (log.f32 #s(literal 1/3 binary32)) (log.f32 #s(literal -3 binary32))) (/.f32 #s(literal -2 binary32) x)) |
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(+ (log -3) (+ (log 1/3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))) |
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(* 1/2 (+ (log -3) (log 1/3))) |
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(+ (* 1/2 (+ (log -3) (log 1/3))) (/ 1 x)) |
(fma.f32 (+.f32 (log.f32 #s(literal 1/3 binary32)) (log.f32 #s(literal -3 binary32))) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (+ (log -3) (log 1/3))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
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(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (+ (log -3) (log 1/3)))) |
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(log -3) |
(log.f32 #s(literal -3 binary32)) |
(+ (log -3) (* 8/3 (/ 1 x))) |
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(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) |
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(* 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 (/ (+ 1 (* 2 (/ 1 x))) x)) (* 1/2 (log -1))) |
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(+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 13/3 (pow x 2)))) x)) (* 1/2 (log -1))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal -13/3 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -1 binary32))) x)) |
(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) (* -1 (/ (+ 2 (* 4 (/ 1 x))) x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 4 binary32) x) #s(literal 2 binary32)) x)) |
(+ (log -1) (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 26/3 (pow x 2)))) x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 26/3 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal 4 binary32) x)) x)) |
-2 |
#s(literal -2 binary32) |
(- (* 2 (/ 1 x)) 2) |
(-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) |
(- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) |
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) |
(- (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)) 2) |
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(* 2 (pow x 3)) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32)) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 2))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) x)) 2))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* 2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2 binary32)) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) x) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (*.f32 x x)) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (*.f32 x x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) x) x))) |
(* -8 x) |
(*.f32 #s(literal -8 binary32) x) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) |
(* -1 (* x (+ 8 (* 4 (/ 1 x))))) |
(fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) |
(* -1 (pow x 3)) |
(neg.f32 (pow.f32 x #s(literal 3 binary32))) |
(* -1 (pow x 3)) |
(neg.f32 (pow.f32 x #s(literal 3 binary32))) |
(* -1 (pow x 3)) |
(neg.f32 (pow.f32 x #s(literal 3 binary32))) |
(* -1 (pow x 3)) |
(neg.f32 (pow.f32 x #s(literal 3 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 491 |
| 0 | 97 | 471 |
| 1 | 428 | 427 |
| 2 | 2894 | 427 |
| 0 | 8726 | 409 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))))) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x)))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) |
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
(+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) |
#s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))) |
(*.f32 (*.f32 x x) x) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
(fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) |
| Outputs |
|---|
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log.f32 (+.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)))) (log1p.f32 (neg.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(-.f32 (log1p.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32))) (log.f32 (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(-.f32 (log1p.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32))) (log1p.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (neg.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(+.f32 (log1p.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32)) #s(literal 1 binary32))))) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) 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 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) |
(*.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) |
(*.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (neg.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(/.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal 1 binary32))) |
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(fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) |
(fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) |
(pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (fma.f32 #s(literal 4 binary32) (*.f32 x x) #s(literal -4 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 x x) (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal -4 binary32)))) (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal -8 binary32))) #s(literal -1 binary32)) |
(+.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) x)) |
(+.f32 (*.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) |
(*.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
(*.f32 (fma.f32 #s(literal 64 binary32) (*.f32 x x) #s(literal -16 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -8 binary32) x #s(literal 4 binary32)))) |
(*.f32 (fma.f32 #s(literal -512 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal -64 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 64 binary32) (*.f32 x x) (-.f32 #s(literal 16 binary32) (*.f32 x #s(literal 32 binary32)))))) |
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 64 binary32) (*.f32 x x)) (fma.f32 #s(literal -8 binary32) x #s(literal 4 binary32))) (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal 4 binary32)) #s(literal 16 binary32))) (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal 4 binary32)) (fma.f32 #s(literal -8 binary32) x #s(literal 4 binary32)))) |
(/.f32 (-.f32 #s(literal 16 binary32) (*.f32 #s(literal 64 binary32) (*.f32 x x))) (-.f32 #s(literal -4 binary32) (*.f32 #s(literal -8 binary32) x))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 64 binary32) (*.f32 x x) #s(literal -16 binary32))) (neg.f32 (fma.f32 #s(literal -8 binary32) x #s(literal 4 binary32)))) |
(/.f32 (neg.f32 (fma.f32 #s(literal -512 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal -64 binary32))) (neg.f32 (fma.f32 #s(literal 64 binary32) (*.f32 x x) (-.f32 #s(literal 16 binary32) (*.f32 x #s(literal 32 binary32)))))) |
(/.f32 (fma.f32 #s(literal 64 binary32) (*.f32 x x) #s(literal -16 binary32)) (fma.f32 #s(literal -8 binary32) x #s(literal 4 binary32))) |
(/.f32 (fma.f32 #s(literal -512 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal -64 binary32)) (+.f32 #s(literal 16 binary32) (-.f32 (*.f32 #s(literal 64 binary32) (*.f32 x x)) (*.f32 x #s(literal 32 binary32))))) |
(/.f32 (fma.f32 #s(literal -512 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal -64 binary32)) (fma.f32 #s(literal 64 binary32) (*.f32 x x) (-.f32 #s(literal 16 binary32) (*.f32 x #s(literal 32 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -8 binary32) x #s(literal 4 binary32)) (fma.f32 #s(literal 64 binary32) (*.f32 x x) #s(literal -16 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 64 binary32) (*.f32 x x) (-.f32 #s(literal 16 binary32) (*.f32 x #s(literal 32 binary32)))) (fma.f32 #s(literal -512 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal -64 binary32)))) |
(-.f32 (/.f32 (*.f32 #s(literal 64 binary32) (*.f32 x x)) (fma.f32 #s(literal -8 binary32) x #s(literal 4 binary32))) (/.f32 #s(literal 16 binary32) (fma.f32 #s(literal -8 binary32) x #s(literal 4 binary32)))) |
(fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) |
(fma.f32 x #s(literal -8 binary32) #s(literal -4 binary32)) |
(pow.f32 (/.f32 (fma.f32 #s(literal -8 binary32) x #s(literal 4 binary32)) (fma.f32 #s(literal 64 binary32) (*.f32 x x) #s(literal -16 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 #s(literal 64 binary32) (*.f32 x x) (-.f32 #s(literal 16 binary32) (*.f32 x #s(literal 32 binary32)))) (fma.f32 #s(literal -512 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal -64 binary32))) #s(literal -1 binary32)) |
(+.f32 (*.f32 #s(literal -8 binary32) x) #s(literal -4 binary32)) |
(+.f32 #s(literal -4 binary32) (*.f32 #s(literal -8 binary32) x)) |
(*.f32 (*.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3/2 binary32))) (pow.f32 x #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 x x) x) |
(*.f32 x (*.f32 x x)) |
(*.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 (exp.f32 #s(literal 3 binary32)) (log.f32 x)) |
(pow.f32 (exp.f32 #s(literal 3/2 binary32)) (log.f32 (*.f32 x x))) |
(pow.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 3/4 binary32)) |
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) |
(pow.f32 x #s(literal 3 binary32)) |
(exp.f32 (fma.f32 (log.f32 (*.f32 x x)) #s(literal 3/4 binary32) (*.f32 (log.f32 (*.f32 x x)) #s(literal 3/4 binary32)))) |
(exp.f32 (fma.f32 (log.f32 (*.f32 x x)) #s(literal 3/4 binary32) (*.f32 (log.f32 x) #s(literal 3/2 binary32)))) |
(exp.f32 (fma.f32 (log.f32 x) #s(literal 3/2 binary32) (*.f32 (log.f32 (*.f32 x x)) #s(literal 3/4 binary32)))) |
(exp.f32 (fma.f32 (log.f32 x) #s(literal 3/2 binary32) (*.f32 (log.f32 x) #s(literal 3/2 binary32)))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 x x)) #s(literal 3/4 binary32)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (*.f32 (log.f32 x) #s(literal 3/2 binary32)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 x #s(literal 4 binary32))) #s(literal 3/4 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 x #s(literal 3/2 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32))) |
Compiled 28 208 to 2 103 computations (92.5% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 631 | 9 | 640 |
| Fresh | 2 | 2 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 638 | 15 | 653 |
| Status | Accuracy | Program |
|---|---|---|
| 91.4% | (*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) | |
| 94.3% | (*.f32 #s(literal 1/2 binary32) (+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) #s(approx (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(literal 2 binary32) x)))) | |
| 21.6% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| 86.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))) | |
| 89.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (+.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x) x) (*.f32 #s(literal 2 binary32) x))))) | |
| ✓ | 7.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
| 96.4% | (*.f32 #s(literal 1/2 binary32) #s(approx (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x)))))) (*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) | |
| ✓ | 15.5% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
| ✓ | 96.4% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| ✓ | 68.6% | #s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
| 58.7% | #s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (/.f32 (-.f32 (*.f32 x x) (*.f32 #s(literal 1/9 binary32) (pow.f32 x #s(literal 6 binary32)))) (-.f32 x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))))) | |
| 58.4% | #s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32)) x) (-.f32 (*.f32 #s(literal 1/9 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 x x))))) | |
| 97.9% | #s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (+.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32)) x)) | |
| 58.3% | #s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (*.f32 (-.f32 (*.f32 #s(literal 1/9 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32)) x)))) | |
| 8.7% | #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))) |
Compiled 1 540 to 540 computations (64.9% saved)
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x)))))) (*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
(*.f32 #s(literal 1/2 binary32) (+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) #s(approx (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(literal 2 binary32) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (+.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32)) x)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (+.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x) x) (*.f32 #s(literal 2 binary32) x))))) |
(*.f32 #s(literal 1/2 binary32) (+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal 3/2 binary32)))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (/.f32 (-.f32 (*.f32 x x) (*.f32 #s(literal 1/9 binary32) (pow.f32 x #s(literal 6 binary32)))) (-.f32 x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))))) |
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (*.f32 (-.f32 (*.f32 #s(literal 1/9 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (log1p.f32 (*.f32 (*.f32 (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)) |
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32)) x) (-.f32 (*.f32 #s(literal 1/9 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 x x))))) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))) |
| Outputs |
|---|
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (+.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32)) x)) |
4 calls:
| 16.0ms | x |
| 14.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 9.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 9.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
| 97.9% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 97.9% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 97.9% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 26 to 23 computations (11.5% saved)
Total -29.0b remaining (-2509.5%)
Threshold costs -29b (-2509.5%)
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x)))))) (*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
(*.f32 #s(literal 1/2 binary32) (+.f32 #s(approx (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)) #s(approx (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(literal 2 binary32) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
4 calls:
| 3.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 3.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 3.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | x |
| 96.4% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 96.4% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 96.4% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 26 to 23 computations (11.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 58 |
| 1 | 34 | 58 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (+.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32)) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| Outputs |
|---|
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (+.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32)) x)) |
#s(approx (* 1/2 (+ (log (+ 1 (* (neg (/ (* 2 x) (- 1 x))) (/ (* 2 x) (- 1 x))))) (log (/ 1 (- 1 (/ (* 2 x) (- 1 x))))))) (+.f32 (*.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 347 | 2429 |
| 1 | 1014 | 2340 |
| 2 | 2596 | 2317 |
| 3 | 5722 | 2293 |
| 0 | 8110 | 2143 |
| 0 | 62 | 491 |
| 0 | 97 | 471 |
| 1 | 428 | 427 |
| 2 | 2894 | 427 |
| 0 | 8726 | 409 |
| 0 | 45 | 295 |
| 0 | 78 | 295 |
| 1 | 301 | 235 |
| 2 | 2703 | 235 |
| 0 | 9201 | 233 |
| 0 | 106 | 404 |
| 1 | 312 | 390 |
| 2 | 799 | 382 |
| 3 | 2150 | 380 |
| 4 | 4030 | 380 |
| 5 | 6476 | 380 |
| 0 | 8265 | 358 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 126 to 76 computations (39.7% saved)
Compiled 136 to 76 computations (44.1% saved)
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