
Time bar (total: 6.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 2 |
| 0% | 0% | 49.8% | 0.4% | 0% | 49.8% | 0% | 3 |
| 50% | 24.9% | 24.9% | 0.4% | 0% | 49.8% | 0% | 4 |
| 75% | 37.4% | 12.5% | 0.4% | 0% | 49.8% | 0% | 5 |
| 87.5% | 43.6% | 6.2% | 0.4% | 0% | 49.8% | 0% | 6 |
| 93.8% | 46.7% | 3.1% | 0.4% | 0% | 49.8% | 0% | 7 |
| 96.9% | 48.2% | 1.6% | 0.4% | 0% | 49.8% | 0% | 8 |
| 98.4% | 49% | 0.8% | 0.4% | 0% | 49.8% | 0% | 9 |
| 99.2% | 49.4% | 0.4% | 0.4% | 0% | 49.8% | 0% | 10 |
| 99.6% | 49.4% | 0.2% | 0.4% | 0% | 50% | 0% | 11 |
| 99.8% | 49.5% | 0.1% | 0.4% | 0% | 50% | 0% | 12 |
Compiled 4 to 4 computations (0% saved)
| 243.0ms | 8 256× | 0 | valid |
ival-atanh: 116.0ms (93.2% of total)ival-true: 5.0ms (4% of total)ival-assert: 3.0ms (2.4% of total)| 1× | egg-herbie |
| 124× | lower-fma.f64 |
| 124× | lower-fma.f32 |
| 88× | lower-*.f64 |
| 84× | lower-*.f32 |
| 76× | lower-+.f64 |
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)))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 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 | - | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 36.0ms | 512× | 0 | valid |
Compiled 104 to 40 computations (61.5% saved)
ival-mult: 7.0ms (32.3% of total)ival-log1p: 6.0ms (27.7% of total)ival-div: 4.0ms (18.5% of total)ival-sub: 3.0ms (13.9% of total)exact: 1.0ms (4.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
Compiled 11 to 9 computations (18.2% 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)))) |
| 124× | lower-fma.f64 |
| 124× | lower-fma.f32 |
| 88× | lower-*.f64 |
| 84× | lower-*.f32 |
| 76× | lower-+.f64 |
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)))) |
#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) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f32 #s(literal 2 binary32) x) |
| ✓ | accuracy | 100.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ✓ | accuracy | 100.0% | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| ✓ | accuracy | 99.8% | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 42.0ms | 256× | 0 | valid |
Compiled 41 to 11 computations (73.2% saved)
ival-mult: 27.0ms (74.5% of total)ival-log1p: 5.0ms (13.8% of total)ival-div: 3.0ms (8.3% of total)ival-sub: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))> |
#<alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))> |
#<alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))> |
#<alt (*.f32 #s(literal 2 binary32) x)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))> |
#<alt (* 1/2 (log -1))> |
#<alt (+ (* 1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))> |
#<alt (* 1/2 (log -1))> |
#<alt (+ (* 1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2 x)))> |
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))> |
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 1.0ms | x | @ | -inf | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 1.0ms | x | @ | inf | (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| 0.0ms | x | @ | -inf | (* 2 x) |
| 0.0ms | x | @ | inf | (* 2 x) |
| 1× | batch-egg-rewrite |
| 4 286× | lower-fma.f64 |
| 4 286× | lower-fma.f32 |
| 3 506× | lower-*.f64 |
| 3 502× | lower-*.f32 |
| 2 126× | lower-/.f64 |
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 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32)))) |
(log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) |
(neg.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))) |
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32)))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32))))) |
(+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))) |
(+.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32)))))) |
(+.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))) |
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 0 binary32)) |
(+.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))) (log1p.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))))) |
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)))))) |
(+.f32 (log.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32))))) |
(+.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))))) (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) #s(literal 1 binary32))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal -1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))))) (log.f32 (neg.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32)))) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)))) |
(+.f32 (log.f32 (/.f32 (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) (*.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)))) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))) #s(literal 1 binary32))))) |
(+.f32 (log.f32 (/.f32 (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) (*.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32))))))) (log1p.f32 (neg.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32)))))) |
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(*.f32 (pow.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))) (+.f32 x (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (+.f32 x #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (neg.f32 (+.f32 x (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (+.f32 x #s(literal -1 binary32))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (neg.f32 (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (+.f32 x (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (+.f32 x #s(literal -1 binary32))) |
(neg.f32 (*.f32 x #s(literal -2 binary32))) |
(-.f32 #s(literal 0 binary32) (*.f32 x #s(literal -2 binary32))) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) |
(*.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 #s(literal -2 binary32) (neg.f32 x)) |
| 1× | egg-herbie |
| 12 938× | lower-fma.f64 |
| 12 938× | lower-fma.f32 |
| 3 522× | lower-*.f64 |
| 3 522× | lower-*.f32 |
| 2 748× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 404 |
| 1 | 312 | 390 |
| 2 | 798 | 382 |
| 3 | 2146 | 380 |
| 4 | 4029 | 380 |
| 5 | 6487 | 380 |
| 0 | 8272 | 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)))))))) |
(* 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 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 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)))))))) |
(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)))))) |
(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) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
-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) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))))) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x 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 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2/3 binary32) (/.f32 #s(literal -2/5 binary32) (*.f32 x x))) (*.f32 x x)) #s(literal -2 binary32)) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2 x))) |
(*.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 x (fma.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (fma.f32 x (*.f32 x 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 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.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 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x 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)) |
(* 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)) |
(* 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)) |
Compiled 5 004 to 805 computations (83.9% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 7 | 209 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 202 | 8 | 210 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) | |
| ▶ | 99.3% | (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
| ▶ | 98.9% | (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
| 99.2% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) | |
| ▶ | 98.8% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
| ▶ | 97.4% | (*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))) |
| ▶ | 99.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) |
| ✓ | 99.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
Compiled 193 to 123 computations (36.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 x x)) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
| ✓ | cost-diff | 0 | (*.f32 x #s(literal 2/3 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
| ✓ | cost-diff | 160 | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 x x)) |
| ✓ | cost-diff | 0 | (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
| ✓ | cost-diff | 0 | (*.f32 x #s(literal 2 binary32)) |
| ✓ | cost-diff | 320 | (*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
| ✓ | cost-diff | 0 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) |
| ✓ | cost-diff | 192 | (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
| 11 424× | lower-fma.f64 |
| 11 412× | lower-fma.f32 |
| 4 950× | lower-*.f64 |
| 4 932× | lower-*.f32 |
| 1 954× | lower-/.f64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 151 |
| 0 | 49 | 135 |
| 1 | 101 | 135 |
| 2 | 183 | 135 |
| 3 | 325 | 135 |
| 4 | 1135 | 135 |
| 5 | 1780 | 135 |
| 6 | 3393 | 126 |
| 7 | 7617 | 126 |
| 0 | 8130 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
#s(literal 2 binary32) |
(fma.f32 x x x) |
x |
(fma.f32 x (neg.f32 x) #s(literal 1 binary32)) |
(neg.f32 x) |
#s(literal 1 binary32) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))) |
#s(literal 1/2 binary32) |
(*.f32 x #s(literal 2 binary32)) |
x |
#s(literal 2 binary32) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
x |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
#s(literal 1/2 binary32) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
x |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(*.f32 x #s(literal 2/3 binary32)) |
#s(literal 2/3 binary32) |
#s(literal 2 binary32) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(*.f32 x x) |
x |
#s(literal 1/5 binary32) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))) |
(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
(*.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
#s(literal 2 binary32) |
(fma.f32 x x x) |
x |
(fma.f32 x (neg.f32 x) #s(literal 1 binary32)) |
(neg.f32 x) |
#s(literal 1 binary32) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))) |
x |
#s(literal 1/2 binary32) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
x |
#s(literal 2 binary32) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
x |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x) |
#s(literal 1/2 binary32) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
x |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(*.f32 x #s(literal 2/3 binary32)) |
#s(literal 2/3 binary32) |
#s(literal 2 binary32) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(*.f32 x x) |
x |
#s(literal 1/5 binary32) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
| ✓ | accuracy | 100.0% | (*.f32 x x) |
| ✓ | accuracy | 99.9% | (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x x)) |
| ✓ | accuracy | 100.0% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
| ✓ | accuracy | 100.0% | (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
| ✓ | accuracy | 99.9% | (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
| ✓ | accuracy | 98.9% | (*.f32 x #s(literal 2/3 binary32)) |
| ✓ | accuracy | 100.0% | (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
| ✓ | accuracy | 100.0% | (*.f32 x x) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x x)) |
| ✓ | accuracy | 100.0% | (*.f32 x #s(literal 2 binary32)) |
| ✓ | accuracy | 100.0% | (*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))) |
| ✓ | accuracy | 100.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) |
| ✓ | accuracy | 100.0% | (neg.f32 x) |
| ✓ | accuracy | 100.0% | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
| ✓ | accuracy | 99.9% | (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
| 53.0ms | 256× | 0 | valid |
Compiled 173 to 32 computations (81.5% saved)
ival-mult: 19.0ms (47.2% of total)const: 9.0ms (22.3% of total)ival-add: 7.0ms (17.4% of total)ival-div: 2.0ms (5% of total)ival-log1p: 2.0ms (5% of total)ival-neg: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))> |
#<alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))> |
#<alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))> |
#<alt (*.f32 #s(literal 2 binary32) (fma.f32 x x x))> |
#<alt (*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))> |
#<alt (*.f32 x #s(literal 2 binary32))> |
#<alt (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)> |
#<alt (*.f32 x (*.f32 x x))> |
#<alt (*.f32 x x)> |
#<alt (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))> |
#<alt (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))> |
#<alt (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))> |
#<alt (*.f32 x #s(literal 2/3 binary32))> |
#<alt (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)> |
#<alt (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))> |
#<alt (neg.f32 x)> |
| Outputs |
|---|
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2 x)))> |
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))> |
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))> |
#<alt (* 1/2 (log -1))> |
#<alt (+ (* 1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))> |
#<alt (* 1/2 (log -1))> |
#<alt (+ (* 1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2 x)))> |
#<alt (* x (+ 2 (* 2 x)))> |
#<alt (* x (+ 2 (* 2 x)))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2/3 (pow x 2))))> |
#<alt (* x (+ 2 (* 2/3 (pow x 2))))> |
#<alt (* x (+ 2 (* 2/3 (pow x 2))))> |
#<alt (* 2/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* 2/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt 2> |
#<alt (+ 2 (* 2/3 (pow x 2)))> |
#<alt (+ 2 (* 2/3 (pow x 2)))> |
#<alt (+ 2 (* 2/3 (pow x 2)))> |
#<alt (* 2/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* 2/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* 1/5 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/5 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))> |
#<alt 1/3> |
#<alt (+ 1/3 (* 1/5 (pow x 2)))> |
#<alt (+ 1/3 (* 1/5 (pow x 2)))> |
#<alt (+ 1/3 (* 1/5 (pow x 2)))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* 1/2 (* x 2)) |
| 0.0ms | x | @ | -inf | (+ (* (+ (* (* x x) 1/5) 1/3) (* x (* x x))) x) |
| 0.0ms | x | @ | 0 | (* 1/2 (* x (+ (* x (* x 2/3)) 2))) |
| 0.0ms | x | @ | inf | (* 1/2 (* x (+ (* x (* x 2/3)) 2))) |
| 0.0ms | x | @ | inf | (+ (* (+ (* (* x x) 1/5) 1/3) (* x (* x x))) x) |
| 1× | batch-egg-rewrite |
| 8 798× | lower-fma.f64 |
| 8 786× | lower-fma.f32 |
| 4 038× | lower-*.f64 |
| 4 020× | lower-*.f32 |
| 3 980× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 118 |
| 0 | 49 | 112 |
| 1 | 189 | 110 |
| 2 | 1327 | 107 |
| 0 | 8677 | 103 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))) |
(*.f32 x #s(literal 2 binary32)) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
(*.f32 x (*.f32 x x)) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(*.f32 x #s(literal 2/3 binary32)) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(neg.f32 x) |
| Outputs |
|---|
(neg.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x x #s(literal -1 binary32)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x x) #s(literal -2 binary32)))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x x) #s(literal -2 binary32))) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x x #s(literal -1 binary32)))) |
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (fma.f32 x x x))) |
(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (+.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x x) #s(literal -2 binary32)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x x) #s(literal -2 binary32)))))) |
(/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x x) #s(literal -2 binary32))))) |
(*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x x x) (+.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (fma.f32 x x x) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) |
(*.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) |
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 x x x) #s(literal -2 binary32))) #s(literal -1 binary32))) |
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x x) #s(literal -2 binary32)))))) |
(*.f32 (/.f32 (fma.f32 x x x) (+.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
(*.f32 #s(literal -2 binary32) (/.f32 (neg.f32 (fma.f32 x x x)) (+.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (+.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)) (*.f32 x x))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)) (*.f32 x x))))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)) (*.f32 x x))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(*.f32 (/.f32 (fma.f32 x x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)) (*.f32 x x))))) |
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(*.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (neg.f32 x)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (neg.f32 x))))) |
(*.f32 (-.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (-.f32 x (*.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(+.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (neg.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) |
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (neg.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))) |
(fma.f32 (*.f32 x #s(literal 1/5 binary32)) x #s(literal 1/3 binary32)) |
(-.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)))) |
(-.f32 (/.f32 #s(literal 1/9 binary32) (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)))))) |
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))) |
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) |
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) #s(literal -1/9 binary32)) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32))) (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) #s(literal -1/9 binary32))) (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)))) |
(/.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)))) (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)) #s(literal 1/9 binary32))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) #s(literal -1/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))))) (neg.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (fma.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))))) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)))) (*.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))) (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))) |
(*.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) |
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))))) |
(*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)))) |
(*.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))))) |
(*.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) #s(literal -1/9 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))) |
(*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) |
(neg.f32 x) |
(+.f32 #s(literal 0 binary32) (neg.f32 x)) |
(-.f32 #s(literal 0 binary32) x) |
(-.f32 (/.f32 #s(literal 0 binary32) x) (/.f32 (*.f32 x x) x)) |
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (*.f32 x (*.f32 x x)) (fma.f32 x x #s(literal 0 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 x (neg.f32 x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal 0 binary32)) (neg.f32 (*.f32 x (*.f32 x x))))) |
(/.f32 (*.f32 x x) (neg.f32 x)) |
(/.f32 (*.f32 x (neg.f32 x)) x) |
(/.f32 (*.f32 x (neg.f32 x)) (-.f32 #s(literal 0 binary32) (neg.f32 x))) |
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (fma.f32 x x #s(literal 0 binary32))) |
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) (neg.f32 x))))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 x x)))) (neg.f32 (fma.f32 x x #s(literal 0 binary32)))) |
(*.f32 x #s(literal -1 binary32)) |
(*.f32 (neg.f32 x) #s(literal 1 binary32)) |
(*.f32 (*.f32 x (neg.f32 x)) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal -1 binary32) x) |
(*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 0 binary32)))) |
| 1× | egg-herbie |
| 14 636× | lower-fma.f64 |
| 14 636× | lower-fma.f32 |
| 4 250× | lower-*.f64 |
| 4 250× | lower-*.f32 |
| 2 004× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 1194 |
| 1 | 413 | 1138 |
| 2 | 1065 | 1128 |
| 3 | 2891 | 1124 |
| 4 | 6625 | 1124 |
| 0 | 8128 | 1043 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) 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)))))))) |
(* 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 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 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)))))))) |
(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)))))) |
(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) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* 2 x))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* 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)))) |
(* 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) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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)))) |
(* 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)))) |
(* 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)))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* 2/3 (pow x 2))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 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 (* 1/5 (pow x 2)))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* 1/5 (pow x 2))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 x (fma.f32 #s(literal 2 binary32) (fma.f32 x x x) #s(literal 2 binary32))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x x #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 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.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 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x)))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 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 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x))) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 x (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) #s(literal 2 binary32))) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) 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 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
(* x (+ 2 (* 2 x))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
(* x (+ 2 (* 2 x))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
(* 2 (pow x 2)) |
(*.f32 #s(literal 2 binary32) (*.f32 x x)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
(* 2 (pow x 2)) |
(*.f32 #s(literal 2 binary32) (*.f32 x x)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
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) |
(* 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) |
(* 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) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x 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) |
(pow x 2) |
(*.f32 x 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) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* 1/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* 2/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 2/3 binary32)))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* 2/3 (pow x 3)) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 2/3 binary32)))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* 2/3 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(+ 2 (* 2/3 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(+ 2 (* 2/3 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(* 2/3 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 2/3 binary32))) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(* 2/3 (pow x 2)) |
(*.f32 x (*.f32 x #s(literal 2/3 binary32))) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)))) x) |
(* 1/5 (pow x 5)) |
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) |
(* 1/5 (pow x 5)) |
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (-.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (-.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))) (*.f32 x x)))) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(* 1/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
Compiled 15 407 to 1 603 computations (89.6% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 667 | 2 | 669 |
| Fresh | 0 | 2 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 669 | 8 | 677 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
| ✓ | 99.3% | (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
| ✓ | 98.9% | (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
| ▶ | 99.9% | (*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
| ▶ | 99.2% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
| ✓ | 98.8% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
| ✓ | 99.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ▶ | 97.4% | x |
Compiled 97 to 61 computations (37.1% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
| ✓ | cost-diff | 0 | (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) |
| ✓ | cost-diff | 0 | (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
| ✓ | cost-diff | 288 | (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
| ✓ | cost-diff | 160 | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
| 26 012× | lower-fma.f64 |
| 25 998× | lower-fma.f32 |
| 3 758× | lower-*.f64 |
| 3 742× | lower-*.f32 |
| 3 176× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 162 |
| 0 | 51 | 158 |
| 1 | 109 | 158 |
| 2 | 280 | 158 |
| 3 | 698 | 144 |
| 4 | 1547 | 144 |
| 5 | 2815 | 144 |
| 6 | 5371 | 144 |
| 0 | 8096 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
x |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
#s(literal 1/2 binary32) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
x |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(*.f32 x x) |
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) |
(*.f32 x #s(literal 2/5 binary32)) |
#s(literal 2/5 binary32) |
#s(literal 2/3 binary32) |
#s(literal 2 binary32) |
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (fma.f32 x x x) #s(literal -2 binary32)) |
(fma.f32 x x x) |
x |
#s(literal -2 binary32) |
(fma.f32 x x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(*.f32 x x) |
x |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(*.f32 x #s(literal 1/7 binary32)) |
#s(literal 1/7 binary32) |
#s(literal 1/5 binary32) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
| Outputs |
|---|
x |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(fma.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) x) |
#s(literal 1/2 binary32) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
x |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(*.f32 x x) |
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) |
(*.f32 x #s(literal 2/5 binary32)) |
#s(literal 2/5 binary32) |
#s(literal 2/3 binary32) |
#s(literal 2 binary32) |
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal -2 binary32) (+.f32 x #s(literal -1 binary32)))))) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) |
(log1p.f32 (*.f32 x (/.f32 #s(literal -2 binary32) (+.f32 x #s(literal -1 binary32))))) |
(/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 x (/.f32 #s(literal -2 binary32) (+.f32 x #s(literal -1 binary32)))) |
(*.f32 (fma.f32 x x x) #s(literal -2 binary32)) |
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32))) |
(fma.f32 x x x) |
x |
#s(literal -2 binary32) |
(fma.f32 x x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) |
(*.f32 x x) |
x |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(*.f32 x #s(literal 1/7 binary32)) |
#s(literal 1/7 binary32) |
#s(literal 1/5 binary32) |
#s(literal 1/3 binary32) |
(*.f32 x (*.f32 x x)) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
| ✓ | accuracy | 99.9% | (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x x)) |
| ✓ | accuracy | 98.4% | (*.f32 x #s(literal 1/7 binary32)) |
| ✓ | accuracy | 100.0% | (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) |
| ✓ | accuracy | 100.0% | (*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
| ✓ | accuracy | 100.0% | (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) |
| ✓ | accuracy | 99.9% | (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) |
| ✓ | accuracy | 100.0% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
| ✓ | accuracy | 99.9% | (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
| ✓ | accuracy | 99.9% | (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) |
| ✓ | accuracy | 99.6% | (*.f32 x #s(literal 2/5 binary32)) |
| 62.0ms | 256× | 0 | valid |
Compiled 190 to 34 computations (82.1% saved)
ival-mult: 19.0ms (40.9% of total)const: 14.0ms (30.1% of total)ival-add: 9.0ms (19.4% of total)ival-div: 2.0ms (4.3% of total)ival-log1p: 2.0ms (4.3% of total)exact: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))> |
#<alt (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))> |
#<alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))> |
#<alt (*.f32 x x)> |
#<alt (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))> |
#<alt (*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))> |
#<alt (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))))> |
#<alt (*.f32 (fma.f32 x x x) #s(literal -2 binary32))> |
#<alt (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)> |
#<alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))> |
#<alt (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))> |
#<alt (*.f32 x #s(literal 2/5 binary32))> |
#<alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))> |
#<alt (*.f32 x #s(literal 1/7 binary32))> |
#<alt (*.f32 x (*.f32 x x))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* 1/5 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/5 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))> |
#<alt (* 2/5 (pow x 5))> |
#<alt (* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* 2/5 (pow x 5))> |
#<alt (* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))> |
#<alt 2> |
#<alt (+ 2 (* 2/3 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))> |
#<alt (* 2/5 (pow x 4))> |
#<alt (* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* 2/5 (pow x 4))> |
#<alt (* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2 x)))> |
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))> |
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))> |
#<alt (* 1/2 (log -1))> |
#<alt (+ (* 1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))> |
#<alt (* 1/2 (log -1))> |
#<alt (+ (* 1/2 (log -1)) (/ 1 x))> |
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))> |
#<alt (log -1)> |
#<alt (+ (log -1) (* 2 (/ 1 x)))> |
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))> |
#<alt (* -2 x)> |
#<alt (* x (- (* -2 x) 2))> |
#<alt (* x (- (* -2 x) 2))> |
#<alt (* x (- (* -2 x) 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))> |
#<alt (* 1/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))> |
#<alt 1/3> |
#<alt (+ 1/3 (* 1/5 (pow x 2)))> |
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))> |
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))> |
#<alt (* 1/7 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* 1/7 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))> |
#<alt 1/5> |
#<alt (+ 1/5 (* 1/7 (pow x 2)))> |
#<alt (+ 1/5 (* 1/7 (pow x 2)))> |
#<alt (+ 1/5 (* 1/7 (pow x 2)))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 1/7 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))> |
#<alt (* 2/5 x)> |
#<alt (* 2/5 x)> |
#<alt (* 2/5 x)> |
#<alt (* 2/5 x)> |
#<alt (* 2/5 x)> |
#<alt (* 2/5 x)> |
#<alt (* 2/5 x)> |
#<alt (* 2/5 x)> |
#<alt (* 2/5 x)> |
#<alt (* 2/5 x)> |
#<alt (* 2/5 x)> |
#<alt (* 2/5 x)> |
#<alt 2/3> |
#<alt (+ 2/3 (* 2/5 (pow x 2)))> |
#<alt (+ 2/3 (* 2/5 (pow x 2)))> |
#<alt (+ 2/3 (* 2/5 (pow x 2)))> |
#<alt (* 2/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/5 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (* 1/7 x)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (+ (* x (* x 2/5)) 2/3) |
| 0.0ms | x | @ | inf | (* 1/2 (* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2))) |
| 0.0ms | x | @ | 0 | (* 1/2 (* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2))) |
| 0.0ms | x | @ | -inf | (+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x) |
| 0.0ms | x | @ | inf | (+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x) |
| 1× | batch-egg-rewrite |
| 5 794× | lower-fma.f64 |
| 5 780× | lower-fma.f32 |
| 4 558× | lower-*.f64 |
| 4 542× | lower-*.f32 |
| 3 948× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 137 |
| 0 | 51 | 133 |
| 1 | 215 | 133 |
| 2 | 1652 | 133 |
| 0 | 8197 | 133 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(*.f32 x x) |
(/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 (fma.f32 x x x) #s(literal -2 binary32)) |
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(*.f32 x #s(literal 2/5 binary32)) |
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) |
(*.f32 x #s(literal 1/7 binary32)) |
(*.f32 x (*.f32 x x)) |
| Outputs |
|---|
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))) |
(+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))))) |
(+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))) |
(+.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) #s(literal 1/2 binary32)) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
(+.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 #s(literal 1/2 binary32) x))) |
(+.f32 (*.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) x))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))) |
(fma.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) x) (*.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 #s(literal 1/2 binary32) x))) |
(fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) x))) |
(fma.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))) |
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) #s(literal 8 binary32))) (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (*.f32 (*.f32 x x) #s(literal 2 binary32))))) |
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) #s(literal -4 binary32))) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal -2 binary32))) |
(/.f32 (neg.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) #s(literal 8 binary32)))) (neg.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (*.f32 (*.f32 x x) #s(literal 2 binary32)))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) #s(literal -4 binary32)))) (neg.f32 (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal -2 binary32)))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))))) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) (-.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) #s(literal 1/2 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) #s(literal 1/2 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) #s(literal 1/2 binary32)) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1/2 binary32)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) x)) (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 #s(literal 1/2 binary32) x))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 #s(literal 1/2 binary32) x)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 #s(literal 1/2 binary32) x)) (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) x))) (*.f32 (*.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 #s(literal 1/2 binary32) x)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) x)))))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 2 binary32)))) |
(*.f32 x (*.f32 (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
(*.f32 (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) x)) |
(*.f32 (*.f32 x (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 2 binary32))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 2 binary32))) x) |
(+.f32 (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 x #s(literal 2 binary32))) |
(+.f32 (*.f32 x #s(literal 2 binary32)) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) |
(fma.f32 x #s(literal 2 binary32) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) |
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (*.f32 x #s(literal 2 binary32))) |
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(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32))) (neg.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32) #s(literal 1/25 binary32)) (*.f32 (*.f32 x x) #s(literal 1/35 binary32))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32))) (neg.f32 (+.f32 #s(literal 1/25 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32)) (*.f32 (*.f32 x x) #s(literal 1/35 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32) #s(literal -1/25 binary32))) (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32)))) |
(/.f32 (-.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32))) (-.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32)) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32)) #s(literal 1/25 binary32))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32)) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)))) (neg.f32 (neg.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32) #s(literal 1/25 binary32)) (*.f32 (*.f32 x x) #s(literal 1/35 binary32)))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32) #s(literal -1/25 binary32)))) (neg.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32)))) (neg.f32 (-.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x #s(literal 1/7 binary32)))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32)) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/25 binary32) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32)) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32)) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32))) (fma.f32 (/.f32 #s(literal 1/25 binary32) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32))) (/.f32 #s(literal 1/25 binary32) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32)) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32))) (/.f32 #s(literal 1/25 binary32) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32))))))) |
(*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32) #s(literal 1/25 binary32)) (*.f32 (*.f32 x x) #s(literal 1/35 binary32))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32) #s(literal -1/25 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32)))) |
(*.f32 x #s(literal 2/5 binary32)) |
(*.f32 #s(literal 2/5 binary32) x) |
(+.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x #s(literal 2/5 binary32)))) |
(+.f32 (*.f32 x (*.f32 x #s(literal 2/5 binary32))) #s(literal 2/3 binary32)) |
(pow.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32))) #s(literal -1 binary32)) |
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) |
(fma.f32 (*.f32 x #s(literal 2/5 binary32)) x #s(literal 2/3 binary32)) |
(-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))) |
(-.f32 (/.f32 #s(literal 4/9 binary32) (-.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x #s(literal 2/5 binary32))))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (-.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x #s(literal 2/5 binary32)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32)))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 x x) #s(literal 4/15 binary32))))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (+.f32 #s(literal 4/9 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32))))) |
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))) (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))) (neg.f32 (+.f32 #s(literal 4/9 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32))) (neg.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))) |
(/.f32 (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32))) (-.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x #s(literal 2/5 binary32))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)) #s(literal 4/9 binary32))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 x x) #s(literal 4/15 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)))) (neg.f32 (-.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x #s(literal 2/5 binary32)))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (fma.f32 (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))))) |
(*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))) |
(*.f32 x #s(literal 1/7 binary32)) |
(*.f32 #s(literal 1/7 binary32) x) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32))) |
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 3/2 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) |
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32)) |
(*.f32 x (*.f32 x x)) |
(*.f32 (*.f32 x x) x) |
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32))) |
| 1× | egg-herbie |
| 16 228× | lower-fma.f64 |
| 16 228× | lower-fma.f32 |
| 4 686× | lower-*.f64 |
| 4 686× | lower-*.f32 |
| 3 070× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 1456 |
| 1 | 559 | 1430 |
| 2 | 1478 | 1415 |
| 3 | 4142 | 1408 |
| 0 | 8285 | 1321 |
| 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 (* 1/5 (pow x 2)))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(* 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 (* 2/5 (pow x 2)))))) |
(* 2/5 (pow x 5)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 2/5 (pow x 5)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(* 2/5 (pow x 4)) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 2/5 (pow x 4)) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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 |
(* -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 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) 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)))))))) |
(* 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 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* 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)))))))) |
(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)))))) |
(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) |
(* x (- (* -2 x) 2)) |
(* x (- (* -2 x) 2)) |
(* x (- (* -2 x) 2)) |
(* -2 (pow x 2)) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))) |
(* -2 (pow x 2)) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 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)))))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/7 (pow x 7)) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* 1/7 (pow x 4)) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
1/5 |
(+ 1/5 (* 1/7 (pow x 2))) |
(+ 1/5 (* 1/7 (pow x 2))) |
(+ 1/5 (* 1/7 (pow x 2))) |
(* 1/7 (pow x 2)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 1/7 (pow x 2)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
(* 2/5 x) |
2/3 |
(+ 2/3 (* 2/5 (pow x 2))) |
(+ 2/3 (* 2/5 (pow x 2))) |
(+ 2/3 (* 2/5 (pow x 2))) |
(* 2/5 (pow x 2)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* 2/5 (pow x 2)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(* 1/7 x) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* 1/5 (pow x 5)) |
(*.f32 (*.f32 x x) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) |
(* 1/5 (pow x 5)) |
(*.f32 (*.f32 x x) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* 2/5 (pow x 5)) |
(*.f32 x (*.f32 x (*.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x)))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) (/.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) (/.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* 2/5 (pow x 5)) |
(*.f32 x (*.f32 x (*.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 x x)))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* 2/3 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(* 2/5 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 2 binary32) (*.f32 x x)))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 2 binary32) (*.f32 x x)))) |
(* 2/5 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 2 binary32) (*.f32 x x)))) |
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 2 binary32) (*.f32 x 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) |
(pow x 2) |
(*.f32 x 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) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2 x))) |
(*.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 x (fma.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 x (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)))) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.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 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x)))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x))) |
(* 1/2 (log -1)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) 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 #s(literal 2 binary32) x) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (*.f32 x x))) x)) |
(* -2 x) |
(*.f32 x #s(literal -2 binary32)) |
(* x (- (* -2 x) 2)) |
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32))) |
(* x (- (* -2 x) 2)) |
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32))) |
(* x (- (* -2 x) 2)) |
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32))) |
(* -2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -2 binary32)) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))) |
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32))) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))) |
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32))) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))) |
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32))) |
(* -2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -2 binary32)) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))) |
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32))) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))) |
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32))) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))) |
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(* 1/7 (pow x 7)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* 1/7 (pow x 7)) |
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) |
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) |
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) |
(* 1/7 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))) |
(* 1/7 (pow x 4)) |
(*.f32 x (*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))) |
1/5 |
#s(literal 1/5 binary32) |
(+ 1/5 (* 1/7 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(+ 1/5 (* 1/7 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(+ 1/5 (* 1/7 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(* 1/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(* 1/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/7 binary32)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
(* 2/5 x) |
(*.f32 x #s(literal 2/5 binary32)) |
2/3 |
#s(literal 2/3 binary32) |
(+ 2/3 (* 2/5 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(+ 2/3 (* 2/5 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(+ 2/3 (* 2/5 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(* 2/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2/5 binary32)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(* 2/5 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2/5 binary32)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(* 1/7 x) |
(*.f32 x #s(literal 1/7 binary32)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
Compiled 17 779 to 1 748 computations (90.2% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 581 | 0 | 581 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 4 | 4 |
| Total | 581 | 8 | 589 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
| ✓ | 99.3% | (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
| ✓ | 98.9% | (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
| ✓ | 99.9% | (*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
| ✓ | 99.2% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
| ✓ | 98.8% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
| ✓ | 99.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| ✓ | 97.4% | x |
Compiled 207 to 109 computations (47.3% saved)
| Inputs |
|---|
x |
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) |
| Outputs |
|---|
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
4 calls:
| 4.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 4.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 4.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 99.9% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 99.9% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(*.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)))) |
4 calls:
| 15.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 3.0ms | x |
| 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 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 99.8% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 99.8% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
| Outputs |
|---|
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
4 calls:
| 4.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 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 | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 99.5% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 99.5% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
| Outputs |
|---|
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
4 calls:
| 4.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.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 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 99.3% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 99.3% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
| Outputs |
|---|
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
4 calls:
| 2.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 2.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 2.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
| 98.9% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 98.9% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 98.9% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
x |
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))) |
| Outputs |
|---|
x |
4 calls:
| 6.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 2.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 2.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | x |
| 97.4% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 97.4% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 97.4% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary32 |
| 4× | sub-neg_binary32 |
| 4× | +-commutative_binary32 |
| 2× | neg-sub0_binary32 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 64 |
| 1 | 40 | 64 |
| 2 | 43 | 64 |
| 3 | 45 | 64 |
| 4 | 46 | 64 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
x |
| Outputs |
|---|
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)))) |
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
x |
| 12 938× | lower-fma.f64 |
| 12 938× | lower-fma.f32 |
| 8 798× | lower-fma.f64 |
| 8 786× | lower-fma.f32 |
| 4 286× | lower-fma.f64 |
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 |
| 0 | 106 | 404 |
| 1 | 312 | 390 |
| 2 | 798 | 382 |
| 3 | 2146 | 380 |
| 4 | 4029 | 380 |
| 5 | 6487 | 380 |
| 0 | 8272 | 358 |
| 0 | 25 | 118 |
| 0 | 49 | 112 |
| 1 | 189 | 110 |
| 2 | 1327 | 107 |
| 0 | 8677 | 103 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 129 to 70 computations (45.7% saved)
Compiled 152 to 76 computations (50% saved)
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