
Time bar (total: 9.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 2 |
| 0% | 0% | 49.8% | 0.4% | 0% | 49.8% | 0% | 3 |
| 50% | 24.9% | 24.9% | 0.4% | 0% | 49.8% | 0% | 4 |
| 75% | 37.4% | 12.5% | 0.4% | 0% | 49.8% | 0% | 5 |
| 87.5% | 43.6% | 6.2% | 0.4% | 0% | 49.8% | 0% | 6 |
| 93.8% | 46.7% | 3.1% | 0.4% | 0% | 49.8% | 0% | 7 |
| 96.9% | 48.2% | 1.6% | 0.4% | 0% | 49.8% | 0% | 8 |
| 98.4% | 49% | 0.8% | 0.4% | 0% | 49.8% | 0% | 9 |
| 99.2% | 49.4% | 0.4% | 0.4% | 0% | 49.8% | 0% | 10 |
| 99.6% | 49.4% | 0.2% | 0.4% | 0% | 50% | 0% | 11 |
| 99.8% | 49.5% | 0.1% | 0.4% | 0% | 50% | 0% | 12 |
Compiled 4 to 4 computations (0% saved)
| 589.0ms | 8 256× | 0 | valid |
ival-atanh: 110.0ms (93.3% of total)ival-true: 5.0ms (4.2% of total)ival-assert: 3.0ms (2.5% of total)| 1× | egg-herbie |
| 124× | accelerator-lowering-fma.f32 |
| 124× | accelerator-lowering-fma.f64 |
| 88× | *-lowering-*.f32 |
| 88× | *-lowering-*.f64 |
| 76× | +-lowering-+.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 | 10 | 12 |
| 1 | 19 | 12 |
| 2 | 26 | 12 |
| 3 | 32 | 12 |
| 4 | 39 | 12 |
| 5 | 53 | 12 |
| 6 | 91 | 12 |
| 7 | 158 | 12 |
| 8 | 216 | 12 |
| 9 | 244 | 12 |
| 10 | 259 | 12 |
| 11 | 269 | 12 |
| 12 | 269 | 12 |
| 0 | 269 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
| Outputs |
|---|
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
(*.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 |
| 161.0ms | 512× | 0 | valid |
Compiled 96 to 40 computations (58.3% saved)
ival-mult: 6.0ms (34.2% of total)ival-log1p: 4.0ms (22.8% of total)ival-sub: 3.0ms (17.1% of total)ival-div: 3.0ms (17.1% of total)exact: 1.0ms (5.7% 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× | accelerator-lowering-fma.f32 |
| 124× | accelerator-lowering-fma.f64 |
| 88× | *-lowering-*.f32 |
| 88× | *-lowering-*.f64 |
| 76× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 39 |
| 1 | 19 | 39 |
| 2 | 26 | 39 |
| 3 | 32 | 39 |
| 4 | 39 | 39 |
| 5 | 53 | 39 |
| 6 | 91 | 39 |
| 7 | 158 | 39 |
| 8 | 216 | 39 |
| 9 | 244 | 39 |
| 10 | 259 | 39 |
| 11 | 269 | 39 |
| 12 | 269 | 39 |
| 0 | 269 | 35 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
1/2 |
(log (+ 1 (/ (* 2 x) (- 1 x)))) |
(/ (* 2 x) (- 1 x)) |
(* 2 x) |
2 |
x |
(- 1 x) |
1 |
| Outputs |
|---|
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
1/2 |
#s(literal 1/2 binary32) |
(log (+ 1 (/ (* 2 x) (- 1 x)))) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(/ (* 2 x) (- 1 x)) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
2 |
#s(literal 2 binary32) |
x |
(- 1 x) |
(-.f32 #s(literal 1 binary32) x) |
1 |
#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 | 99.9% | (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)) |
| 29.0ms | 256× | 0 | valid |
Compiled 37 to 11 computations (70.3% saved)
ival-mult: 17.0ms (74.1% of total)ival-div: 2.0ms (8.7% of total)ival-log1p: 2.0ms (8.7% of total)ival-sub: 1.0ms (4.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))> |
#<alt (log (+ 1 (/ (* 2 x) (- 1 x))))> |
#<alt (/ (* 2 x) (- 1 x))> |
#<alt (* 2 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× | accelerator-lowering-fma.f32 |
| 4 286× | accelerator-lowering-fma.f64 |
| 3 506× | *-lowering-*.f32 |
| 3 506× | *-lowering-*.f64 |
| 2 126× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 1 | 49 | 32 |
| 2 | 399 | 32 |
| 3 | 5586 | 32 |
| 0 | 8628 | 28 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) |
(log (+ 1 (/ (* 2 x) (- 1 x)))) |
(/ (* 2 x) (- 1 x)) |
(* 2 x) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32)))))) |
(*.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))) #s(literal 1/2 binary32)) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) x))) |
(log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))) |
(neg.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 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 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32))))) |
(+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32)))))) |
(+.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))))) |
(+.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (neg.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))))) |
(+.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))) #s(literal 0 binary32)) |
(+.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32)))))) (log1p.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.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 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))) (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 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) #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 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))))) (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))))) (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.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 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 1 binary32))) (neg.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.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 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))) #s(literal -1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))))) (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 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) #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 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32)) (fma.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (*.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 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))) #s(literal 1 binary32))))) |
(+.f32 (log.f32 (/.f32 (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (*.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 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))))) |
(+.f32 (log.f32 (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32)))))) |
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(*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(*.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) (+.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(*.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 1 binary32) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) |
(*.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× | accelerator-lowering-fma.f32 |
| 12 938× | accelerator-lowering-fma.f64 |
| 3 522× | *-lowering-*.f32 |
| 3 522× | *-lowering-*.f64 |
| 2 748× | +-lowering-+.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 5 005 to 804 computations (83.9% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 8 | 210 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 202 | 9 | 211 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (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) | |
| 99.1% | (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) | |
| 98.5% | (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) | |
| ▶ | 99.4% | (*.f32 #s(literal 1/2 binary32) (*.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)))) |
| ▶ | 99.1% | (*.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)))) |
| ▶ | 98.4% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #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)))) |
| ▶ | 96.9% | x |
Compiled 227 to 141 computations (37.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (*.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))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (*.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)))) |
| ✓ | 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 | 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)))) |
| ✓ | 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 #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 | 352 | (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
| 18 258× | accelerator-lowering-fma.f32 |
| 18 258× | accelerator-lowering-fma.f64 |
| 4 162× | *-lowering-*.f32 |
| 4 162× | *-lowering-*.f64 |
| 2 906× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 267 |
| 1 | 123 | 263 |
| 2 | 370 | 261 |
| 3 | 865 | 255 |
| 4 | 1775 | 253 |
| 5 | 2782 | 253 |
| 6 | 5048 | 235 |
| 0 | 8269 | 207 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1))))) |
1/2 |
(log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1)))) |
(/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1)) |
(* 2 (+ (* x x) x)) |
2 |
(+ (* x x) x) |
x |
(+ (* x (neg x)) 1) |
(neg x) |
1 |
x |
(* 1/2 (* x (+ (* x (* x 2/3)) 2))) |
1/2 |
(* x (+ (* x (* x 2/3)) 2)) |
x |
(+ (* x (* x 2/3)) 2) |
(* x 2/3) |
2/3 |
2 |
(* 1/2 (* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2))) |
1/2 |
(* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2)) |
x |
(+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2) |
(* x x) |
(+ (* x (* x 2/5)) 2/3) |
(* x 2/5) |
2/5 |
2/3 |
2 |
(* 1/2 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 2))) |
1/2 |
(* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 2)) |
x |
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 2) |
(* x x) |
(+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3) |
(+ (* x (* x 2/7)) 2/5) |
(* x 2/7) |
2/7 |
2/5 |
2/3 |
2 |
| Outputs |
|---|
(* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) |
1/2 |
#s(literal 1/2 binary32) |
(log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1)))) |
(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) |
(/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1)) |
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) |
(* 2 (+ (* x x) x)) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x x)) |
2 |
#s(literal 2 binary32) |
(+ (* x x) x) |
(fma.f32 x x x) |
x |
(+ (* x (neg x)) 1) |
(fma.f32 x (neg.f32 x) #s(literal 1 binary32)) |
(neg x) |
(neg.f32 x) |
1 |
#s(literal 1 binary32) |
x |
(* 1/2 (* x (+ (* x (* x 2/3)) 2))) |
(fma.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32)) x) |
1/2 |
#s(literal 1/2 binary32) |
(* x (+ (* x (* x 2/3)) 2)) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
x |
(+ (* x (* x 2/3)) 2) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(* x 2/3) |
(*.f32 x #s(literal 2/3 binary32)) |
2/3 |
#s(literal 2/3 binary32) |
2 |
#s(literal 2 binary32) |
(* 1/2 (* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x x))) x) |
1/2 |
#s(literal 1/2 binary32) |
(* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 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 |
(+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 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)) |
(* x x) |
(*.f32 x x) |
(+ (* x (* x 2/5)) 2/3) |
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) |
(* x 2/5) |
(*.f32 x #s(literal 2/5 binary32)) |
2/5 |
#s(literal 2/5 binary32) |
2/3 |
#s(literal 2/3 binary32) |
2 |
#s(literal 2 binary32) |
(* 1/2 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 2))) |
(fma.f32 x (*.f32 #s(literal 1/2 binary32) (*.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))))) x) |
1/2 |
#s(literal 1/2 binary32) |
(* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 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))) |
x |
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 2) |
(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)) |
(* x x) |
(*.f32 x x) |
(+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3) |
(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)) |
(+ (* x (* x 2/7)) 2/5) |
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) |
(* x 2/7) |
(*.f32 x #s(literal 2/7 binary32)) |
2/7 |
#s(literal 2/7 binary32) |
2/5 |
#s(literal 2/5 binary32) |
2/3 |
#s(literal 2/3 binary32) |
2 |
#s(literal 2 binary32) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) |
| ✓ | accuracy | 99.9% | (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)) |
| ✓ | accuracy | 99.9% | (*.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))) |
| ✓ | accuracy | 98.3% | (*.f32 x #s(literal 2/7 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% | (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 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 | 99.4% | (*.f32 x #s(literal 2/5 binary32)) |
| ✓ | accuracy | 100.0% | (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
| ✓ | 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 | 99.9% | (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
| ✓ | accuracy | 99.0% | (*.f32 x #s(literal 2/3 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 | 99.9% | (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))) |
| 69.0ms | 256× | 0 | valid |
Compiled 234 to 39 computations (83.3% saved)
ival-mult: 31.0ms (58.1% of total)const: 9.0ms (16.9% of total)ival-add: 8.0ms (15% of total)ival-div: 2.0ms (3.7% of total)ival-log1p: 2.0ms (3.7% of total)ival-neg: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1))> |
#<alt (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1)))))> |
#<alt (log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1))))> |
#<alt (* 2 (+ (* x x) x))> |
#<alt (* 1/2 (* x (+ (* x (* x 2/3)) 2)))> |
#<alt (* x (+ (* x (* x 2/3)) 2))> |
#<alt (+ (* x (* x 2/3)) 2)> |
#<alt (* x 2/3)> |
#<alt (* 1/2 (* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2)))> |
#<alt (* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2))> |
#<alt (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2)> |
#<alt (* x x)> |
#<alt (* 1/2 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 2)))> |
#<alt (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 2))> |
#<alt (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 2)> |
#<alt (neg x)> |
#<alt (* x 2/5)> |
#<alt (+ (* x (* x 2/5)) 2/3)> |
#<alt (* x 2/7)> |
#<alt (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)> |
#<alt (+ (* x (* x 2/7)) 2/5)> |
| 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 (+ 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 (* 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 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 (* 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 (* 2/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 2/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))> |
#<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 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))> |
#<alt (* 2/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 2/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<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)> |
#<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 (* 2/7 x)> |
#<alt (* 2/7 x)> |
#<alt (* 2/7 x)> |
#<alt (* 2/7 x)> |
#<alt (* 2/7 x)> |
#<alt (* 2/7 x)> |
#<alt (* 2/7 x)> |
#<alt (* 2/7 x)> |
#<alt (* 2/7 x)> |
#<alt (* 2/7 x)> |
#<alt (* 2/7 x)> |
#<alt (* 2/7 x)> |
#<alt 2/3> |
#<alt (+ 2/3 (* 2/5 (pow x 2)))> |
#<alt (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))> |
#<alt (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))> |
#<alt (* 2/7 (pow x 4))> |
#<alt (* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* 2/7 (pow x 4))> |
#<alt (* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt 2/5> |
#<alt (+ 2/5 (* 2/7 (pow x 2)))> |
#<alt (+ 2/5 (* 2/7 (pow x 2)))> |
#<alt (+ 2/5 (* 2/7 (pow x 2)))> |
#<alt (* 2/7 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* 2/7 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (* x 2/3) |
| 1.0ms | x | @ | 0 | (* 1/2 (* x (+ (* x (* x 2/3)) 2))) |
| 1.0ms | x | @ | inf | (* 1/2 (* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2))) |
| 0.0ms | x | @ | inf | (* 1/2 (* x (+ (* x (* x 2/3)) 2))) |
| 0.0ms | x | @ | inf | (* 1/2 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 2))) |
| 1× | batch-egg-rewrite |
| 6 324× | accelerator-lowering-fma.f32 |
| 6 324× | accelerator-lowering-fma.f64 |
| 4 434× | *-lowering-*.f32 |
| 4 434× | *-lowering-*.f64 |
| 3 680× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 233 |
| 1 | 237 | 230 |
| 2 | 2020 | 230 |
| 0 | 8451 | 200 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1)) |
(* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1))))) |
(log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1)))) |
(* 2 (+ (* x x) x)) |
(* 1/2 (* x (+ (* x (* x 2/3)) 2))) |
(* x (+ (* x (* x 2/3)) 2)) |
(+ (* x (* x 2/3)) 2) |
(* x 2/3) |
(* 1/2 (* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2))) |
(* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2)) |
(+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2) |
(* x x) |
(* 1/2 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 2))) |
(* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 2)) |
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 2) |
(neg x) |
(* x 2/5) |
(+ (* x (* x 2/5)) 2/3) |
(* x 2/7) |
(+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3) |
(+ (* x (* x 2/7)) 2/5) |
| Outputs |
|---|
(neg.f32 (*.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) |
(neg.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (*.f32 #s(literal -2 binary32) (/.f32 (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 1 binary32) (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))))) |
(/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 x x x) #s(literal -2 binary32))) (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32))) (neg.f32 (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) #s(literal 1 binary32))) (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))) (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 x x x) #s(literal -2 binary32)))) (neg.f32 (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)))) (neg.f32 (neg.f32 (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) |
(*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(*.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) |
(*.f32 (fma.f32 x x x) (/.f32 #s(literal 2 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(*.f32 #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 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 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) (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (fma.f32 x 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 (neg.f32 x) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 2 binary32)) |
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(*.f32 #s(literal -2 binary32) (/.f32 (neg.f32 (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (fma.f32 x x x) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (neg.f32 (*.f32 x x)))))) |
(*.f32 (/.f32 (fma.f32 x x x) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal -1 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 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 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (neg.f32 (*.f32 x x)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 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 (neg.f32 x) #s(literal -1 binary32))))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (-.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (neg.f32 (*.f32 x x)))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (neg.f32 (*.f32 x x)))))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal -1 binary32))))) |
(*.f32 (/.f32 #s(literal 2 binary32) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (fma.f32 x x x) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (neg.f32 (*.f32 x x)))))) |
(*.f32 (/.f32 #s(literal 2 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (/.f32 (fma.f32 x x x) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal -1 binary32))))) |
(*.f32 (/.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (neg.f32 (*.f32 x x)))))) |
(*.f32 (/.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal -1 binary32))))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 x #s(literal 1 binary32))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (neg.f32 (*.f32 x x)))))) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 x #s(literal 1 binary32))) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal -1 binary32))))) |
(*.f32 (/.f32 (fma.f32 x x x) #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (neg.f32 (fma.f32 x x x)) #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) (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))))) |
(*.f32 (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)))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.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 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 #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 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))))) |
(+.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.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 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #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 0 binary32) (log.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.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 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #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 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))))) |
(-.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) (log1p.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.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 binary32))))) |
(-.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) (log.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (-.f32 #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 (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))))) (log.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.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 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))))) (log.f32 (neg.f32 (-.f32 #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 (log.f32 (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) #s(literal 1 binary32))) (log.f32 (-.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 binary32)))) |
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(/.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32)) (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x x) #s(literal 4/35 binary32))))) |
(/.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32)) (+.f32 #s(literal 4/25 binary32) (-.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (*.f32 (*.f32 x x) #s(literal 4/35 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x x) #s(literal 4/35 binary32)))) (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)) (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) #s(literal -4/25 binary32))))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) #s(literal -4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32))) (neg.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x x) #s(literal 4/35 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32))) (neg.f32 (+.f32 #s(literal 4/25 binary32) (-.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (*.f32 (*.f32 x x) #s(literal 4/35 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) #s(literal -4/25 binary32))) (neg.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)))) |
(/.f32 (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32))) (-.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x x) #s(literal 2/7 binary32)))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)) #s(literal 4/25 binary32))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x x) #s(literal 4/35 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) #s(literal -4/25 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)))) (neg.f32 (-.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x x) #s(literal 2/7 binary32))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 4/25 binary32) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (fma.f32 (/.f32 #s(literal 4/25 binary32) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (/.f32 #s(literal 4/25 binary32) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (/.f32 #s(literal 4/25 binary32) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x x) #s(literal 4/35 binary32)))))) |
(*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) #s(literal -4/25 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)))) |
| 1× | egg-herbie |
| 18 256× | accelerator-lowering-fma.f32 |
| 18 256× | accelerator-lowering-fma.f64 |
| 5 214× | *-lowering-*.f32 |
| 5 214× | *-lowering-*.f64 |
| 2 960× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 2056 |
| 1 | 676 | 2012 |
| 2 | 1788 | 1994 |
| 3 | 4984 | 1978 |
| 0 | 8985 | 1862 |
| 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 (+ 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))) |
(* 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) |
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))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* 2/7 (pow x 7)) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 2/7 (pow x 7)) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) |
(* 2/7 (pow x 6)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 2/7 (pow x 6)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 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) |
(* 2/5 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))))) |
(* 2/7 x) |
(* 2/7 x) |
(* 2/7 x) |
(* 2/7 x) |
(* 2/7 x) |
(* 2/7 x) |
(* 2/7 x) |
(* 2/7 x) |
(* 2/7 x) |
(* 2/7 x) |
(* 2/7 x) |
(* 2/7 x) |
2/3 |
(+ 2/3 (* 2/5 (pow x 2))) |
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))) |
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))) |
(* 2/7 (pow x 4)) |
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* 2/7 (pow x 4)) |
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
2/5 |
(+ 2/5 (* 2/7 (pow x 2))) |
(+ 2/5 (* 2/7 (pow x 2))) |
(+ 2/5 (* 2/7 (pow x 2))) |
(* 2/7 (pow x 2)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* 2/7 (pow x 2)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 x (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) |
(* 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 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #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 (*.f32 x x) #s(literal 1/3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.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 (*.f32 x 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)) |
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#s(literal 2 binary32) |
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#s(literal 2 binary32) |
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(* 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)))))) |
(* 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 (*.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 x (*.f32 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))) |
(* 2/7 (pow x 7)) |
(*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x)))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32)))))) |
(* 2/7 (pow x 7)) |
(*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 2/7 binary32) (/.f32 (+.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x))) (*.f32 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))))) |
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 x (*.f32 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 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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)) |
(* 2/7 (pow x 6)) |
(*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 6 binary32))) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x)))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(fma.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 2 binary32)) |
(* 2/7 (pow x 6)) |
(*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 6 binary32))) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x)))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(fma.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 2 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) |
(* 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)) |
(* 2/7 x) |
(*.f32 x #s(literal 2/7 binary32)) |
(* 2/7 x) |
(*.f32 x #s(literal 2/7 binary32)) |
(* 2/7 x) |
(*.f32 x #s(literal 2/7 binary32)) |
(* 2/7 x) |
(*.f32 x #s(literal 2/7 binary32)) |
(* 2/7 x) |
(*.f32 x #s(literal 2/7 binary32)) |
(* 2/7 x) |
(*.f32 x #s(literal 2/7 binary32)) |
(* 2/7 x) |
(*.f32 x #s(literal 2/7 binary32)) |
(* 2/7 x) |
(*.f32 x #s(literal 2/7 binary32)) |
(* 2/7 x) |
(*.f32 x #s(literal 2/7 binary32)) |
(* 2/7 x) |
(*.f32 x #s(literal 2/7 binary32)) |
(* 2/7 x) |
(*.f32 x #s(literal 2/7 binary32)) |
(* 2/7 x) |
(*.f32 x #s(literal 2/7 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 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) #s(literal 2/3 binary32)) |
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) #s(literal 2/3 binary32)) |
(* 2/7 (pow x 4)) |
(*.f32 #s(literal 2/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x)))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* 2/7 (pow x 4)) |
(*.f32 #s(literal 2/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x)))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
2/5 |
#s(literal 2/5 binary32) |
(+ 2/5 (* 2/7 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) |
(+ 2/5 (* 2/7 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) |
(+ 2/5 (* 2/7 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) |
(* 2/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2/7 binary32)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) |
(* 2/7 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2/7 binary32)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) |
Compiled 24 028 to 2 350 computations (90.2% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 776 | 3 | 779 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 776 | 12 | 788 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (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) |
| ▶ | 99.1% | (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
| ▶ | 98.5% | (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
| ▶ | 99.1% | (*.f32 #s(literal 1/2 binary32) (fma.f32 x #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))))))) |
| 99.3% | (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))))) | |
| ▶ | 99.4% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
| ✓ | 99.4% | (*.f32 #s(literal 1/2 binary32) (*.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)))) |
| ✓ | 99.1% | (*.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)))) |
| ✓ | 98.4% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #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)))) |
| ✓ | 96.9% | x |
Compiled 335 to 189 computations (43.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 x (fma.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x (*.f32 x (*.f32 x 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 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
| ✓ | cost-diff | 320 | (fma.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))))) |
| ✓ | cost-diff | 160 | (fma.f32 x #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))))) |
| ✓ | cost-diff | 160 | (*.f32 #s(literal 1/2 binary32) (fma.f32 x #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))))))) |
| ✓ | 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 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 | (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) |
| 8 676× | accelerator-lowering-fma.f32 |
| 8 676× | accelerator-lowering-fma.f64 |
| 4 614× | associate-*r* |
| 4 342× | *-lowering-*.f32 |
| 4 342× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 269 |
| 1 | 126 | 261 |
| 2 | 353 | 261 |
| 3 | 1096 | 261 |
| 4 | 2425 | 261 |
| 5 | 4865 | 261 |
| 6 | 5807 | 261 |
| 7 | 5976 | 261 |
| 8 | 6112 | 261 |
| 9 | 6112 | 261 |
| 10 | 7165 | 261 |
| 11 | 7380 | 261 |
| 12 | 7432 | 261 |
| 13 | 7436 | 261 |
| 14 | 7436 | 261 |
| 0 | 11131 | 232 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x) |
(+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) |
(* x x) |
x |
(+ (* x (* x 1/7)) 1/5) |
(* x 1/7) |
1/7 |
1/5 |
1/3 |
(* x (* x x)) |
(+ (* 1/3 (* x (* x x))) x) |
1/3 |
(* x (* x x)) |
x |
(* x x) |
(+ (* (+ (* (* x x) 1/5) 1/3) (* x (* x x))) x) |
(+ (* (* x x) 1/5) 1/3) |
(* x x) |
x |
1/5 |
1/3 |
(* x (* x x)) |
(* 1/2 (+ (* x 2) (* x (* x (* x (+ (* x (* x 2/5)) 2/3)))))) |
1/2 |
(+ (* x 2) (* x (* x (* x (+ (* x (* x 2/5)) 2/3))))) |
x |
2 |
(* x (* x (* x (+ (* x (* x 2/5)) 2/3)))) |
(* x (* x (+ (* x (* x 2/5)) 2/3))) |
(* x (+ (* x (* x 2/5)) 2/3)) |
(+ (* x (* x 2/5)) 2/3) |
(* x 2/5) |
2/5 |
2/3 |
(* 1/2 (* x (+ (* (+ (* (* x x) 2/7) 2/5) (* x (* x (* x x)))) (+ (* x (* x 2/3)) 2)))) |
1/2 |
(* x (+ (* (+ (* (* x x) 2/7) 2/5) (* x (* x (* x x)))) (+ (* x (* x 2/3)) 2))) |
x |
(+ (* (+ (* (* x x) 2/7) 2/5) (* x (* x (* x x)))) (+ (* x (* x 2/3)) 2)) |
(+ (* (* x x) 2/7) 2/5) |
(* x x) |
2/7 |
2/5 |
(* x (* x (* x x))) |
(* x (* x x)) |
(+ (* x (* x 2/3)) 2) |
(* x 2/3) |
2/3 |
2 |
| Outputs |
|---|
(+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x) |
(fma.f32 (*.f32 x x) (*.f32 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))) x) |
(+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) |
(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)) |
(* x x) |
(*.f32 x x) |
x |
(+ (* x (* x 1/7)) 1/5) |
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) |
(* x 1/7) |
(*.f32 x #s(literal 1/7 binary32)) |
1/7 |
#s(literal 1/7 binary32) |
1/5 |
#s(literal 1/5 binary32) |
1/3 |
#s(literal 1/3 binary32) |
(* x (* x x)) |
(*.f32 x (*.f32 x x)) |
(+ (* 1/3 (* x (* x x))) x) |
(fma.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32)) x) |
1/3 |
#s(literal 1/3 binary32) |
(* x (* x x)) |
(*.f32 x (*.f32 x x)) |
x |
(* x x) |
(*.f32 x x) |
(+ (* (+ (* (* x x) 1/5) 1/3) (* x (* x x))) x) |
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)))) x) |
(+ (* (* x x) 1/5) 1/3) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(* x x) |
(*.f32 x x) |
x |
1/5 |
#s(literal 1/5 binary32) |
1/3 |
#s(literal 1/3 binary32) |
(* x (* x x)) |
(*.f32 x (*.f32 x x)) |
(* 1/2 (+ (* x 2) (* x (* x (* x (+ (* x (* x 2/5)) 2/3)))))) |
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)))) x) |
1/2 |
#s(literal 1/2 binary32) |
(+ (* x 2) (* x (* x (* x (+ (* x (* x 2/5)) 2/3))))) |
(*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) #s(literal 2 binary32))) |
x |
2 |
#s(literal 2 binary32) |
(* x (* x (* x (+ (* x (* x 2/5)) 2/3)))) |
(*.f32 x (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))))) |
(* x (* x (+ (* x (* x 2/5)) 2/3))) |
(*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))) |
(* x (+ (* x (* x 2/5)) 2/3)) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) |
(+ (* x (* x 2/5)) 2/3) |
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) |
(* x 2/5) |
(*.f32 x #s(literal 2/5 binary32)) |
2/5 |
#s(literal 2/5 binary32) |
2/3 |
#s(literal 2/3 binary32) |
(* 1/2 (* x (+ (* (+ (* (* x x) 2/7) 2/5) (* x (* x (* x x)))) (+ (* x (* x 2/3)) 2)))) |
(fma.f32 (*.f32 x x) (*.f32 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))) x) |
1/2 |
#s(literal 1/2 binary32) |
(* x (+ (* (+ (* (* x x) 2/7) 2/5) (* x (* x (* x x)))) (+ (* x (* x 2/3)) 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))) |
x |
(+ (* (+ (* (* x x) 2/7) 2/5) (* x (* x (* x x)))) (+ (* x (* x 2/3)) 2)) |
(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)) |
(+ (* (* x x) 2/7) 2/5) |
(fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) |
(* x x) |
(*.f32 x x) |
2/7 |
#s(literal 2/7 binary32) |
2/5 |
#s(literal 2/5 binary32) |
(* x (* x (* x x))) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(* x (* x x)) |
(*.f32 x (*.f32 x x)) |
(+ (* x (* x 2/3)) 2) |
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(* x 2/3) |
(*.f32 x #s(literal 2/3 binary32)) |
2/3 |
#s(literal 2/3 binary32) |
2 |
#s(literal 2 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f32 x (fma.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) |
| ✓ | accuracy | 99.8% | (*.f32 x (*.f32 x (*.f32 x x))) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x x)) |
| ✓ | accuracy | 99.0% | (*.f32 x #s(literal 2/3 binary32)) |
| ✓ | accuracy | 99.6% | (*.f32 x (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))))) |
| ✓ | accuracy | 99.6% | (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))) |
| ✓ | accuracy | 99.4% | (*.f32 x #s(literal 2/5 binary32)) |
| ✓ | accuracy | 99.0% | (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) |
| ✓ | 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 x x) |
| ✓ | accuracy | 100.0% | (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x x)) |
| ✓ | 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 | 98.3% | (*.f32 x #s(literal 1/7 binary32)) |
| 90.0ms | 256× | 0 | valid |
Compiled 278 to 45 computations (83.8% saved)
ival-mult: 45.0ms (60.5% of total)const: 16.0ms (21.5% of total)ival-add: 13.0ms (17.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x)> |
#<alt (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)> |
#<alt (* x x)> |
#<alt (+ (* x (* x 1/7)) 1/5)> |
#<alt (+ (* 1/3 (* x (* x x))) x)> |
#<alt (* x (* x x))> |
#<alt (+ (* (+ (* (* x x) 1/5) 1/3) (* x (* x x))) x)> |
#<alt (+ (* (* x x) 1/5) 1/3)> |
#<alt (* 1/2 (+ (* x 2) (* x (* x (* x (+ (* x (* x 2/5)) 2/3))))))> |
#<alt (+ (* x 2) (* x (* x (* x (+ (* x (* x 2/5)) 2/3)))))> |
#<alt (* x (* x (* x (+ (* x (* x 2/5)) 2/3))))> |
#<alt (* x (* x (+ (* x (* x 2/5)) 2/3)))> |
#<alt (+ (* (+ (* (* x x) 2/7) 2/5) (* x (* x (* x x)))) (+ (* x (* x 2/3)) 2))> |
#<alt (* 1/2 (* x (+ (* (+ (* (* x x) 2/7) 2/5) (* x (* x (* x x)))) (+ (* x (* x 2/3)) 2))))> |
#<alt (* x (+ (* (+ (* (* x x) 2/7) 2/5) (* x (* x (* x x)))) (+ (* x (* x 2/3)) 2)))> |
#<alt (+ (* (* x x) 2/7) 2/5)> |
#<alt (* x 1/7)> |
#<alt (* x (+ (* x (* x 2/5)) 2/3))> |
#<alt (* x 2/5)> |
#<alt (* x 2/3)> |
#<alt (* x (* x (* 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 (* (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 (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 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 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 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 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 (* 2/3 (pow x 3))> |
#<alt (* (pow x 3) (+ 2/3 (* 2/5 (pow x 2))))> |
#<alt (* (pow x 3) (+ 2/3 (* 2/5 (pow x 2))))> |
#<alt (* (pow x 3) (+ 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)))))> |
#<alt (* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (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)))))> |
#<alt (* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))> |
#<alt (* (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)))))> |
#<alt (* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (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)))))> |
#<alt (* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<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 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))> |
#<alt (* 2/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 2/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<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 (* 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 (* 2/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 2/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))> |
#<alt 2/5> |
#<alt (+ 2/5 (* 2/7 (pow x 2)))> |
#<alt (+ 2/5 (* 2/7 (pow x 2)))> |
#<alt (+ 2/5 (* 2/7 (pow x 2)))> |
#<alt (* 2/7 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* 2/7 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2/7 (* 2/5 (/ 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 (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 2/5 (pow x 2))))> |
#<alt (* x (+ 2/3 (* 2/5 (pow x 2))))> |
#<alt (* x (+ 2/3 (* 2/5 (pow x 2))))> |
#<alt (* 2/5 (pow x 3))> |
#<alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/5 (pow x 3))> |
#<alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 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 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 (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | -inf | (+ (* (+ (* (* x x) 1/5) 1/3) (* x (* x x))) x) |
| 2.0ms | x | @ | 0 | (+ (* x (* x 1/7)) 1/5) |
| 0.0ms | x | @ | -inf | (* 1/2 (+ (* x 2) (* x (* x (* x (+ (* x (* x 2/5)) 2/3)))))) |
| 0.0ms | x | @ | inf | (* 1/2 (+ (* x 2) (* x (* x (* x (+ (* x (* x 2/5)) 2/3)))))) |
| 0.0ms | x | @ | inf | (+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x) |
| 1× | batch-egg-rewrite |
| 7 476× | accelerator-lowering-fma.f32 |
| 7 476× | accelerator-lowering-fma.f64 |
| 4 858× | *-lowering-*.f32 |
| 4 858× | *-lowering-*.f64 |
| 3 418× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 227 |
| 1 | 261 | 217 |
| 2 | 2163 | 217 |
| 0 | 8846 | 190 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x) |
(+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) |
(* x x) |
(+ (* x (* x 1/7)) 1/5) |
(+ (* 1/3 (* x (* x x))) x) |
(* x (* x x)) |
(+ (* (+ (* (* x x) 1/5) 1/3) (* x (* x x))) x) |
(+ (* (* x x) 1/5) 1/3) |
(* 1/2 (+ (* x 2) (* x (* x (* x (+ (* x (* x 2/5)) 2/3)))))) |
(+ (* x 2) (* x (* x (* x (+ (* x (* x 2/5)) 2/3))))) |
(* x (* x (* x (+ (* x (* x 2/5)) 2/3)))) |
(* x (* x (+ (* x (* x 2/5)) 2/3))) |
(+ (* (+ (* (* x x) 2/7) 2/5) (* x (* x (* x x)))) (+ (* x (* x 2/3)) 2)) |
(* 1/2 (* x (+ (* (+ (* (* x x) 2/7) 2/5) (* x (* x (* x x)))) (+ (* x (* x 2/3)) 2)))) |
(* x (+ (* (+ (* (* x x) 2/7) 2/5) (* x (* x (* x x)))) (+ (* x (* x 2/3)) 2))) |
(+ (* (* x x) 2/7) 2/5) |
(* x 1/7) |
(* x (+ (* x (* x 2/5)) 2/3)) |
(* x 2/5) |
(* x 2/3) |
(* x (* x (* x x))) |
| Outputs |
|---|
(+.f32 x (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) |
(+.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) x) |
(pow.f32 (/.f32 (fma.f32 x (-.f32 x (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) (neg.f32 x)) (*.f32 (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x 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) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) (neg.f32 x)))) #s(literal -1 binary32)) |
(fma.f32 x (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x) |
(fma.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x) |
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x 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 (*.f32 x x)) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) x) |
(fma.f32 (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (*.f32 x x) x) |
(fma.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x x)) x x) |
(fma.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x) x x) |
(-.f32 (/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) (neg.f32 x))) (/.f32 (*.f32 x x) (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) (neg.f32 x)))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))))) (/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (-.f32 x (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))))) |
(/.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 x (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))))) |
(/.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fma.f32 x x (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(/.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x 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) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) (neg.f32 x))) (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) (neg.f32 x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (-.f32 x (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) (neg.f32 x)) (*.f32 (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x 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) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) (neg.f32 x))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x)))) (neg.f32 (fma.f32 x (-.f32 x (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x)))) (neg.f32 (fma.f32 x x (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x (*.f32 x x)))))))) |
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(/.f32 (-.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))))) (-.f32 x (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))))) |
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(+.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x x) #s(literal 2/7 binary32))) |
(+.f32 (*.f32 (*.f32 x x) #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) |
(pow.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x x) #s(literal 4/35 binary32)))) (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)) (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) #s(literal -4/25 binary32))) #s(literal -1 binary32)) |
(fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) |
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) |
(fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) |
(fma.f32 (*.f32 x #s(literal 2/7 binary32)) x #s(literal 2/5 binary32)) |
(-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (/.f32 #s(literal 4/25 binary32) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)))) |
(-.f32 (/.f32 #s(literal 4/25 binary32) (-.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x x) #s(literal 2/7 binary32)))) (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (-.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x x) #s(literal 2/7 binary32))))) |
(/.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32)) (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x x) #s(literal 4/35 binary32))))) |
(/.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32)) (+.f32 #s(literal 4/25 binary32) (-.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (*.f32 (*.f32 x x) #s(literal 4/35 binary32))))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) #s(literal -4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x x) #s(literal 4/35 binary32)))) (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)) (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) #s(literal -4/25 binary32)))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32))) (neg.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x x) #s(literal 4/35 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32))) (neg.f32 (+.f32 #s(literal 4/25 binary32) (-.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (*.f32 (*.f32 x x) #s(literal 4/35 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) #s(literal -4/25 binary32))) (neg.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)))) |
(/.f32 (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32))) (-.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x x) #s(literal 2/7 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x x) #s(literal 4/35 binary32)))) (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)) (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) #s(literal -4/25 binary32))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)) #s(literal 4/25 binary32))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x x) #s(literal 4/35 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) #s(literal -4/25 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)))) (neg.f32 (-.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x x) #s(literal 2/7 binary32))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 4/25 binary32) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (fma.f32 (/.f32 #s(literal 4/25 binary32) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (/.f32 #s(literal 4/25 binary32) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (/.f32 #s(literal 4/25 binary32) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/343 binary32) #s(literal 8/125 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) (-.f32 #s(literal 4/25 binary32) (*.f32 (*.f32 x x) #s(literal 4/35 binary32)))))) |
(*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/49 binary32) #s(literal -4/25 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)))) |
(*.f32 x #s(literal 1/7 binary32)) |
(*.f32 #s(literal 1/7 binary32) x) |
(+.f32 (*.f32 x #s(literal 2/3 binary32)) (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32)))) |
(+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (*.f32 x #s(literal 2/3 binary32))) |
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x #s(literal 2/3 binary32))) |
(fma.f32 x #s(literal 2/3 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32)))) |
(fma.f32 (*.f32 x x) (*.f32 x #s(literal 2/5 binary32)) (*.f32 x #s(literal 2/3 binary32))) |
(fma.f32 (*.f32 x (*.f32 x x)) #s(literal 2/5 binary32) (*.f32 x #s(literal 2/3 binary32))) |
(fma.f32 (*.f32 x #s(literal 2/5 binary32)) (*.f32 x x) (*.f32 x #s(literal 2/3 binary32))) |
(fma.f32 (*.f32 (*.f32 x x) #s(literal 2/5 binary32)) x (*.f32 x #s(literal 2/3 binary32))) |
(fma.f32 #s(literal 2/3 binary32) x (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32)))) |
(-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32)))) (-.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (*.f32 x #s(literal 2/3 binary32)))) (/.f32 (*.f32 (*.f32 x #s(literal 2/3 binary32)) (*.f32 x #s(literal 2/3 binary32))) (-.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (*.f32 x #s(literal 2/3 binary32))))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal 8/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/27 binary32))) (fma.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (-.f32 (*.f32 (*.f32 x #s(literal 2/3 binary32)) (*.f32 x #s(literal 2/3 binary32))) (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (*.f32 x #s(literal 2/3 binary32)))))) |
(/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32)))) (*.f32 (*.f32 x #s(literal 2/3 binary32)) (*.f32 x #s(literal 2/3 binary32)))) (-.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (*.f32 x #s(literal 2/3 binary32)))) |
(/.f32 (*.f32 x (fma.f32 #s(literal 8/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/27 binary32))) (fma.f32 (*.f32 x (*.f32 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 (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/25 binary32) #s(literal -4/9 binary32))) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))) |
(/.f32 (*.f32 (fma.f32 #s(literal 8/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/27 binary32)) x) (fma.f32 (*.f32 x (*.f32 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 (*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/25 binary32) #s(literal -4/9 binary32)) x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal 8/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/27 binary32)))) (neg.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (-.f32 (*.f32 (*.f32 x #s(literal 2/3 binary32)) (*.f32 x #s(literal 2/3 binary32))) (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (*.f32 x #s(literal 2/3 binary32))))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32)))) (*.f32 (*.f32 x #s(literal 2/3 binary32)) (*.f32 x #s(literal 2/3 binary32))))) (neg.f32 (-.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (*.f32 x #s(literal 2/3 binary32))))) |
(/.f32 (neg.f32 (*.f32 x (fma.f32 #s(literal 8/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/27 binary32)))) (neg.f32 (fma.f32 (*.f32 x (*.f32 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 (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/25 binary32) #s(literal -4/9 binary32)))) (neg.f32 (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32)))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 8/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8/27 binary32)) x)) (neg.f32 (fma.f32 (*.f32 x (*.f32 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 (*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/25 binary32) #s(literal -4/9 binary32)) x)) (neg.f32 (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32)))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) #s(literal 8/27 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal 8/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (fma.f32 (*.f32 x #s(literal 2/3 binary32)) (*.f32 x #s(literal 2/3 binary32)) (-.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32)))) (*.f32 (*.f32 x #s(literal 2/3 binary32)) (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))))))) |
(*.f32 x (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)) x) |
(*.f32 x #s(literal 2/5 binary32)) |
(*.f32 #s(literal 2/5 binary32) x) |
(*.f32 x #s(literal 2/3 binary32)) |
(*.f32 #s(literal 2/3 binary32) x) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 4 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 x x)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal 2 binary32))) |
(exp.f32 (fma.f32 (log.f32 x) #s(literal 2 binary32) (*.f32 (log.f32 x) #s(literal 2 binary32)))) |
(pow.f32 x #s(literal 4 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 2 binary32)) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(*.f32 (*.f32 x x) (*.f32 x x)) |
(*.f32 (*.f32 x (*.f32 x x)) x) |
| 1× | egg-herbie |
| 14 536× | accelerator-lowering-fma.f32 |
| 14 536× | accelerator-lowering-fma.f64 |
| 4 282× | *-lowering-*.f32 |
| 4 282× | *-lowering-*.f64 |
| 2 992× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 2060 |
| 1 | 511 | 2018 |
| 2 | 1379 | 2003 |
| 3 | 3899 | 1986 |
| 4 | 7942 | 1986 |
| 0 | 8012 | 1877 |
| 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)))))))) |
(* 1/7 (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)))))) |
(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) |
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))))) |
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) |
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))))) |
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))) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2/5 (pow x 2)))) |
(* (pow x 3) (+ 2/3 (* 2/5 (pow x 2)))) |
(* (pow x 3) (+ 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))))) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (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))))) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 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))))) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (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))))) |
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) |
(* 2/7 (pow x 6)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 2/7 (pow x 6)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
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))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* 2/7 (pow x 7)) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 2/7 (pow x 7)) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))))) |
2/5 |
(+ 2/5 (* 2/7 (pow x 2))) |
(+ 2/5 (* 2/7 (pow x 2))) |
(+ 2/5 (* 2/7 (pow x 2))) |
(* 2/7 (pow x 2)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* 2/7 (pow x 2)) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2/7 (* 2/5 (/ 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) |
(* 2/3 x) |
(* x (+ 2/3 (* 2/5 (pow x 2)))) |
(* x (+ 2/3 (* 2/5 (pow x 2)))) |
(* x (+ 2/3 (* 2/5 (pow x 2)))) |
(* 2/5 (pow x 3)) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* 2/5 (pow x 3)) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 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 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) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
| 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 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x 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 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))))) |
(* 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 (/.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (*.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 (*.f32 x x) (fma.f32 (*.f32 x 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 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* 1/7 (pow x 4)) |
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x 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 x (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* 1/7 (pow x 4)) |
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x 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 x (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.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) |
1/5 |
#s(literal 1/5 binary32) |
(+ 1/5 (* 1/7 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) |
(+ 1/5 (* 1/7 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) |
(+ 1/5 (* 1/7 (pow x 2))) |
(fma.f32 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) |
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 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) |
(* 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)) |
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 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (+.f32 #s(literal 1/5 binary32) (/.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 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* 1/5 (pow x 5)) |
(*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 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 x (*.f32 x (*.f32 x (*.f32 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 x (*.f32 x #s(literal 1/5 binary32)) #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 (* 1/5 (pow x 2))) |
(fma.f32 x (*.f32 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 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
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x |
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2 |
#s(literal 2 binary32) |
(+ 2 (* 2/3 (pow x 2))) |
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(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
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(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) |
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(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
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x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
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(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
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2/5 |
#s(literal 2/5 binary32) |
(+ 2/5 (* 2/7 (pow x 2))) |
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(+ 2/5 (* 2/7 (pow x 2))) |
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(* 2/7 (pow x 2)) |
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(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
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(* 2/7 (pow x 2)) |
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(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
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(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
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(* 1/7 x) |
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(*.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)) |
(* 2/3 x) |
(*.f32 x #s(literal 2/3 binary32)) |
(* x (+ 2/3 (* 2/5 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) |
(* x (+ 2/3 (* 2/5 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) |
(* x (+ 2/3 (* 2/5 (pow x 2)))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) |
(* 2/5 (pow x 3)) |
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 2/5 binary32)) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) |
(* 2/5 (pow x 3)) |
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 2/5 binary32)) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) |
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 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 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)) |
(pow x 4) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(pow x 4) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(pow x 4) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(pow x 4) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(pow x 4) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(pow x 4) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(pow x 4) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(pow x 4) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(pow x 4) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(pow x 4) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(pow x 4) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(pow x 4) |
(*.f32 x (*.f32 x (*.f32 x x))) |
Compiled 37 376 to 2 535 computations (93.2% saved)
14 alts after pruning (4 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 985 | 3 | 988 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 986 | 14 | 1 000 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (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) |
| ✓ | 99.1% | (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
| ✓ | 98.5% | (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
| ▶ | 99.1% | (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) x) |
| ▶ | 99.3% | (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))))) |
| ▶ | 99.3% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal -2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) |
| ✓ | 99.4% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
| ▶ | 99.3% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 #s(literal 8/27 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 4/3 binary32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) |
| ✓ | 99.4% | (*.f32 #s(literal 1/2 binary32) (*.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)))) |
| ✓ | 99.1% | (*.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)))) |
| ✓ | 98.4% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #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)))) |
| ✓ | 96.9% | x |
Compiled 293 to 163 computations (44.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 x x)) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) |
| ✓ | cost-diff | 64 | (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) x) |
| ✓ | cost-diff | 64 | (*.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
| ✓ | cost-diff | 64 | (neg.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) |
| ✓ | cost-diff | 128 | (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
| ✓ | cost-diff | 160 | (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) |
| ✓ | cost-diff | 0 | (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal -4 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 x (fma.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal -2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal -2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) |
| ✓ | cost-diff | 160 | (fma.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal -2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))) |
| ✓ | cost-diff | 0 | (*.f32 x (fma.f32 (fma.f32 #s(literal 8/27 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 4/3 binary32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 #s(literal 8/27 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 4/3 binary32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) |
| ✓ | cost-diff | 160 | (fma.f32 (fma.f32 #s(literal 8/27 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 4/3 binary32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))) |
| ✓ | cost-diff | 384 | (-.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) |
| 9 936× | accelerator-lowering-fma.f32 |
| 9 936× | accelerator-lowering-fma.f64 |
| 5 682× | *-lowering-*.f32 |
| 5 682× | *-lowering-*.f64 |
| 1 948× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 745 |
| 1 | 205 | 654 |
| 2 | 737 | 654 |
| 3 | 2993 | 654 |
| 4 | 5801 | 654 |
| 0 | 8543 | 561 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* x (+ (* (+ (* 8/27 (* (* x (* x x)) (* x (* x x)))) 8) (/ 1 (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))))) |
1/2 |
(* x (+ (* (+ (* 8/27 (* (* x (* x x)) (* x (* x x)))) 8) (/ 1 (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))))) |
x |
(+ (* (+ (* 8/27 (* (* x (* x x)) (* x (* x x)))) 8) (/ 1 (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))) |
(+ (* 8/27 (* (* x (* x x)) (* x (* x x)))) 8) |
8/27 |
(* (* x (* x x)) (* x (* x x))) |
(* x (* x x)) |
(* x x) |
8 |
(/ 1 (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3))) |
1 |
(- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)) |
(+ (* (* x (* x (* x x))) 4/9) 4) |
(* x (* x (* x x))) |
4/9 |
4 |
(* (* x x) 4/3) |
4/3 |
(* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))) |
(* x (+ (* (* x x) 2/7) 2/5)) |
(+ (* (* x x) 2/7) 2/5) |
2/7 |
2/5 |
(* 1/2 (* x (+ (* (+ (* (* x (* x (* x x))) 4/9) -4) (/ 1 (+ (* (* x x) 2/3) -2))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))))) |
1/2 |
(* x (+ (* (+ (* (* x (* x (* x x))) 4/9) -4) (/ 1 (+ (* (* x x) 2/3) -2))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))))) |
x |
(+ (* (+ (* (* x (* x (* x x))) 4/9) -4) (/ 1 (+ (* (* x x) 2/3) -2))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))) |
(+ (* (* x (* x (* x x))) 4/9) -4) |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
4/9 |
-4 |
(/ 1 (+ (* (* x x) 2/3) -2)) |
1 |
(+ (* (* x x) 2/3) -2) |
2/3 |
-2 |
(* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))) |
(* x (+ (* (* x x) 2/7) 2/5)) |
(+ (* (* x x) 2/7) 2/5) |
2/7 |
2/5 |
(* 1/2 (- (log (+ 1 (neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)))))) (log (+ 1 (* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1))))))) |
1/2 |
(- (log (+ 1 (neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)))))) (log (+ 1 (* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1)))))) |
(log (+ 1 (neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)))))) |
(neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)))) |
(/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1))) |
(* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) |
(* 2 (+ (* x x) x)) |
2 |
(+ (* x x) x) |
x |
(* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)) |
(+ (* x (neg x)) 1) |
(neg x) |
1 |
(log (+ 1 (* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1))))) |
(* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1))) |
-2 |
(/ (+ (* x x) x) (+ (* x (neg x)) 1)) |
(+ (* (* x (* x x)) (+ (* (* x x) 1/5) 1/3)) x) |
(* (* x (* x x)) (+ (* (* x x) 1/5) 1/3)) |
(* x (* x x)) |
x |
(* x x) |
(+ (* (* x x) 1/5) 1/3) |
1/5 |
1/3 |
| Outputs |
|---|
(* 1/2 (* x (+ (* (+ (* 8/27 (* (* x (* x x)) (* x (* x x)))) 8) (/ 1 (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))))) |
(*.f32 x (*.f32 #s(literal 1/2 binary32) (fma.f32 x (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))) (/.f32 (fma.f32 #s(literal 8/27 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 8 binary32)) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 4/9 binary32) #s(literal -4/3 binary32))) #s(literal 4 binary32)))))) |
1/2 |
#s(literal 1/2 binary32) |
(* x (+ (* (+ (* 8/27 (* (* x (* x x)) (* x (* x x)))) 8) (/ 1 (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))))) |
(*.f32 x (fma.f32 x (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))) (/.f32 (fma.f32 #s(literal 8/27 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 8 binary32)) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 4/9 binary32) #s(literal -4/3 binary32))) #s(literal 4 binary32))))) |
x |
(+ (* (+ (* 8/27 (* (* x (* x x)) (* x (* x x)))) 8) (/ 1 (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))) |
(fma.f32 x (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))) (/.f32 (fma.f32 #s(literal 8/27 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 8 binary32)) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 4/9 binary32) #s(literal -4/3 binary32))) #s(literal 4 binary32)))) |
(+ (* 8/27 (* (* x (* x x)) (* x (* x x)))) 8) |
(fma.f32 #s(literal 8/27 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 8 binary32)) |
8/27 |
#s(literal 8/27 binary32) |
(* (* x (* x x)) (* x (* x x))) |
(*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) |
(* x (* x x)) |
(*.f32 x (*.f32 x x)) |
(* x x) |
(*.f32 x x) |
8 |
#s(literal 8 binary32) |
(/ 1 (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3))) |
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 4/9 binary32) #s(literal -4/3 binary32))) #s(literal 4 binary32))) |
1 |
#s(literal 1 binary32) |
(- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)) |
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 4/9 binary32) #s(literal -4/3 binary32))) #s(literal 4 binary32)) |
(+ (* (* x (* x (* x x))) 4/9) 4) |
(fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) #s(literal 4 binary32)) |
(* x (* x (* x x))) |
(*.f32 x (*.f32 x (*.f32 x x))) |
4/9 |
#s(literal 4/9 binary32) |
4 |
#s(literal 4 binary32) |
(* (* x x) 4/3) |
(*.f32 x (*.f32 x #s(literal 4/3 binary32))) |
4/3 |
#s(literal 4/3 binary32) |
(* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))) |
(*.f32 (*.f32 x x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))) |
(* x (+ (* (* x x) 2/7) 2/5)) |
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) |
(+ (* (* x x) 2/7) 2/5) |
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) |
2/7 |
#s(literal 2/7 binary32) |
2/5 |
#s(literal 2/5 binary32) |
(* 1/2 (* x (+ (* (+ (* (* x (* x (* x x))) 4/9) -4) (/ 1 (+ (* (* x x) 2/3) -2))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))))) |
(*.f32 x (*.f32 #s(literal 1/2 binary32) (fma.f32 x (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))) (/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal -2 binary32)))))) |
1/2 |
#s(literal 1/2 binary32) |
(* x (+ (* (+ (* (* x (* x (* x x))) 4/9) -4) (/ 1 (+ (* (* x x) 2/3) -2))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))))) |
(*.f32 x (fma.f32 x (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))) (/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal -2 binary32))))) |
x |
(+ (* (+ (* (* x (* x (* x x))) 4/9) -4) (/ 1 (+ (* (* x x) 2/3) -2))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))) |
(fma.f32 x (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))) (/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal -2 binary32)))) |
(+ (* (* x (* x (* x x))) 4/9) -4) |
(fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) |
(* x (* x (* x x))) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(* x (* x x)) |
(*.f32 x (*.f32 x x)) |
(* x x) |
(*.f32 x x) |
4/9 |
#s(literal 4/9 binary32) |
-4 |
#s(literal -4 binary32) |
(/ 1 (+ (* (* x x) 2/3) -2)) |
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal -2 binary32))) |
1 |
#s(literal 1 binary32) |
(+ (* (* x x) 2/3) -2) |
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal -2 binary32)) |
2/3 |
#s(literal 2/3 binary32) |
-2 |
#s(literal -2 binary32) |
(* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))) |
(*.f32 (*.f32 x x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))) |
(* x (+ (* (* x x) 2/7) 2/5)) |
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) |
(+ (* (* x x) 2/7) 2/5) |
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) |
2/7 |
#s(literal 2/7 binary32) |
2/5 |
#s(literal 2/5 binary32) |
(* 1/2 (- (log (+ 1 (neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)))))) (log (+ 1 (* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1))))))) |
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) (*.f32 #s(literal -4 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) (fma.f32 x x #s(literal -1 binary32)))))) |
1/2 |
#s(literal 1/2 binary32) |
(- (log (+ 1 (neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)))))) (log (+ 1 (* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1)))))) |
(-.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) (*.f32 #s(literal -4 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) (fma.f32 x x #s(literal -1 binary32))))) |
(log (+ 1 (neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)))))) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) (*.f32 #s(literal -4 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))) |
(neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)))) |
(/.f32 (*.f32 (fma.f32 x x x) (*.f32 #s(literal -4 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) |
(/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1))) |
(/.f32 (*.f32 (fma.f32 x x x) (*.f32 #s(literal 4 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) |
(* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) |
(*.f32 (fma.f32 x x x) (*.f32 #s(literal 4 binary32) (fma.f32 x x x))) |
(* 2 (+ (* x x) x)) |
(*.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ (* x x) x) |
(fma.f32 x x x) |
x |
(* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)) |
(*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) |
(+ (* x (neg x)) 1) |
(fma.f32 x (neg.f32 x) #s(literal 1 binary32)) |
(neg x) |
(neg.f32 x) |
1 |
#s(literal 1 binary32) |
(log (+ 1 (* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1))))) |
(log1p.f32 (/.f32 (*.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) (fma.f32 x x #s(literal -1 binary32)))) |
(* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1))) |
(/.f32 (*.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) (fma.f32 x x #s(literal -1 binary32))) |
-2 |
#s(literal -2 binary32) |
(/ (+ (* x x) x) (+ (* x (neg x)) 1)) |
(/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
(+ (* (* x (* x x)) (+ (* (* x x) 1/5) 1/3)) x) |
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32))) |
(* (* x (* x x)) (+ (* (* x x) 1/5) 1/3)) |
(*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) |
(* x (* x x)) |
(*.f32 x (*.f32 x x)) |
x |
(* x x) |
(*.f32 x x) |
(+ (* (* x x) 1/5) 1/3) |
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
1/5 |
#s(literal 1/5 binary32) |
1/3 |
#s(literal 1/3 binary32) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | 99.6% | (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) |
| ✓ | accuracy | 99.9% | (-.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) |
| ✓ | accuracy | 99.9% | (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
| ✓ | accuracy | 99.8% | (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) |
| ✓ | accuracy | 99.7% | (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) |
| ✓ | accuracy | 99.8% | (*.f32 x (*.f32 x (*.f32 x x))) |
| ✓ | accuracy | 99.7% | (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x x)) |
| ✓ | accuracy | 99.4% | (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) |
| ✓ | accuracy | 99.7% | (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))) |
| ✓ | accuracy | 99.7% | (*.f32 x (*.f32 x x)) |
| ✓ | accuracy | 99.4% | (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) |
| ✓ | accuracy | 99.4% | (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) |
| 107.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 0 | invalid |
Compiled 743 to 64 computations (91.4% saved)
ival-mult: 34.0ms (41.2% of total)const: 21.0ms (25.4% of total)ival-add: 12.0ms (14.5% of total)ival-div: 6.0ms (7.3% of total)ival-log1p: 3.0ms (3.6% of total)ival-neg: 3.0ms (3.6% of total)ival-sub: 2.0ms (2.4% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3))> |
#<alt (+ (* (+ (* 8/27 (* (* x (* x x)) (* x (* x x)))) 8) (/ 1 (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))))> |
#<alt (* 1/2 (* x (+ (* (+ (* 8/27 (* (* x (* x x)) (* x (* x x)))) 8) (/ 1 (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))))))> |
#<alt (* x (+ (* (+ (* 8/27 (* (* x (* x x)) (* x (* x x)))) 8) (/ 1 (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))))> |
#<alt (+ (* (+ (* (* x (* x (* x x))) 4/9) -4) (/ 1 (+ (* (* x x) 2/3) -2))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))))> |
#<alt (* 1/2 (* x (+ (* (+ (* (* x (* x (* x x))) 4/9) -4) (/ 1 (+ (* (* x x) 2/3) -2))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))))))> |
#<alt (* x (+ (* (+ (* (* x (* x (* x x))) 4/9) -4) (/ 1 (+ (* (* x x) 2/3) -2))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))))> |
#<alt (+ (* (* x (* x (* x x))) 4/9) -4)> |
#<alt (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x)))> |
#<alt (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1))> |
#<alt (neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1))))> |
#<alt (* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1)))> |
#<alt (+ (* (* x (* x x)) (+ (* (* x x) 1/5) 1/3)) x)> |
#<alt (* (* x (* x x)) (+ (* (* x x) 1/5) 1/3))> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (* (* x x) 4/3)> |
#<alt (* x (+ (* (* x x) 2/7) 2/5))> |
#<alt (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))> |
#<alt (* x (* x (* x x)))> |
#<alt (log (+ 1 (* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1)))))> |
#<alt (- (log (+ 1 (neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)))))) (log (+ 1 (* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1))))))> |
#<alt (+ (* (* x x) 1/5) 1/3)> |
| Outputs |
|---|
#<alt 4> |
#<alt (+ 4 (* -4/3 (pow x 2)))> |
#<alt (+ 4 (* (pow x 2) (- (* 4/9 (pow x 2)) 4/3)))> |
#<alt (+ 4 (* (pow x 2) (- (* 4/9 (pow x 2)) 4/3)))> |
#<alt (* 4/9 (pow x 4))> |
#<alt (* (pow x 4) (- 4/9 (* 4/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 4/9 (/ 4 (pow x 4))) (* 4/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 4/9 (/ 4 (pow x 4))) (* 4/3 (/ 1 (pow x 2)))))> |
#<alt (* 4/9 (pow x 4))> |
#<alt (* (pow x 4) (- 4/9 (* 4/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 4/9 (/ 4 (pow x 4))) (* 4/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 4/9 (/ 4 (pow x 4))) (* 4/3 (/ 1 (pow x 2)))))> |
#<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 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))> |
#<alt (* 2/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 2/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<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 (* 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 (* 2/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 2/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))> |
#<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 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))> |
#<alt (* 2/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 2/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<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 (* 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 (* 2/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 2/7 (pow x 7))> |
#<alt (* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))> |
#<alt -4> |
#<alt (- (* 4/9 (pow x 4)) 4)> |
#<alt (- (* 4/9 (pow x 4)) 4)> |
#<alt (- (* 4/9 (pow x 4)) 4)> |
#<alt (* 4/9 (pow x 4))> |
#<alt (* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4)))))> |
#<alt (* 4/9 (pow x 4))> |
#<alt (* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4)))))> |
#<alt (* 4 (pow x 2))> |
#<alt (* (pow x 2) (+ 4 (* 8 x)))> |
#<alt (* (pow x 2) (+ 4 (* x (+ 8 (* 4 x)))))> |
#<alt (* (pow x 2) (+ 4 (* x (+ 8 (* 4 x)))))> |
#<alt (* 4 (pow x 4))> |
#<alt (* (pow x 4) (+ 4 (* 8 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))> |
#<alt (* 4 (pow x 4))> |
#<alt (* (pow x 4) (+ 4 (* 8 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (pow x 2) 2)))> |
#<alt (+ 1 (* (pow x 2) (- (pow x 2) 2)))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2)))))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2)))))> |
#<alt (* -4 (pow x 2))> |
#<alt (* (pow x 2) (- (* -8 x) 4))> |
#<alt (* (pow x 2) (- (* x (- (* -12 x) 8)) 4))> |
#<alt (* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))> |
#<alt -4> |
#<alt (* -1 (+ 4 (* 8 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)> |
#<alt (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))> |
#<alt -4> |
#<alt (* -1 (+ 4 (* 8 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)> |
#<alt (- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)> |
#<alt (* -2 x)> |
#<alt (* x (- (* -2 x) 2))> |
#<alt (* x (- (* x (- (* -2 x) 2)) 2))> |
#<alt (* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2))> |
#<alt 2> |
#<alt (+ 2 (* 2 (/ 1 x)))> |
#<alt (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))> |
#<alt (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))> |
#<alt 2> |
#<alt (+ 2 (* 2 (/ 1 x)))> |
#<alt (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))> |
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) 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 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))> |
#<alt (* (pow x 3) (+ 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)))))> |
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (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)))))> |
#<alt (* (pow x 5) (+ 1/5 (* 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 (* 4/3 (pow x 2))> |
#<alt (* 4/3 (pow x 2))> |
#<alt (* 4/3 (pow x 2))> |
#<alt (* 4/3 (pow x 2))> |
#<alt (* 4/3 (pow x 2))> |
#<alt (* 4/3 (pow x 2))> |
#<alt (* 4/3 (pow x 2))> |
#<alt (* 4/3 (pow x 2))> |
#<alt (* 4/3 (pow x 2))> |
#<alt (* 4/3 (pow x 2))> |
#<alt (* 4/3 (pow x 2))> |
#<alt (* 4/3 (pow x 2))> |
#<alt (* 2/5 x)> |
#<alt (* x (+ 2/5 (* 2/7 (pow x 2))))> |
#<alt (* x (+ 2/5 (* 2/7 (pow x 2))))> |
#<alt (* x (+ 2/5 (* 2/7 (pow x 2))))> |
#<alt (* 2/7 (pow x 3))> |
#<alt (* (pow x 3) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* 2/7 (pow x 3))> |
#<alt (* (pow x 3) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* 2/5 (pow x 4))> |
#<alt (* (pow x 4) (+ 2/5 (* 2/7 (pow x 2))))> |
#<alt (* (pow x 4) (+ 2/5 (* 2/7 (pow x 2))))> |
#<alt (* (pow x 4) (+ 2/5 (* 2/7 (pow x 2))))> |
#<alt (* 2/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* 2/7 (pow x 6))> |
#<alt (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (* -2 x)> |
#<alt (* x (- (* -4 x) 2))> |
#<alt (* x (- (* x (- (* -26/3 x) 4)) 2))> |
#<alt (* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))> |
#<alt (log 3)> |
#<alt (+ (log 3) (* 2/3 (/ 1 x)))> |
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))> |
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))> |
#<alt (log 3)> |
#<alt (+ (log 3) (* 2/3 (/ 1 x)))> |
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))> |
#<alt (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))> |
#<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 -3) (log 3))> |
#<alt (- (+ (log -3) (* 2 (/ 1 x))) (log 3))> |
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))> |
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))> |
#<alt (- (log -3) (log 3))> |
#<alt (- (+ (log -3) (* 2 (/ 1 x))) (log 3))> |
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))> |
#<alt (- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))> |
#<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)))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (* x (+ (* (* x x) 2/7) 2/5)) |
| 1.0ms | x | @ | 0 | (- (log (+ 1 (neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)))))) (log (+ 1 (* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1)))))) |
| 1.0ms | x | @ | inf | (- (log (+ 1 (neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)))))) (log (+ 1 (* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1)))))) |
| 0.0ms | x | @ | -inf | (- (log (+ 1 (neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)))))) (log (+ 1 (* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1)))))) |
| 0.0ms | x | @ | 0 | (+ (* (+ (* (* x (* x (* x x))) 4/9) -4) (/ 1 (+ (* (* x x) 2/3) -2))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))) |
| 1× | batch-egg-rewrite |
| 6 642× | *-lowering-*.f32 |
| 6 642× | *-lowering-*.f64 |
| 6 494× | accelerator-lowering-fma.f32 |
| 6 494× | accelerator-lowering-fma.f64 |
| 3 282× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 420 |
| 1 | 411 | 348 |
| 2 | 3745 | 330 |
| 0 | 10070 | 288 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)) |
(+ (* (+ (* 8/27 (* (* x (* x x)) (* x (* x x)))) 8) (/ 1 (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))) |
(* 1/2 (* x (+ (* (+ (* 8/27 (* (* x (* x x)) (* x (* x x)))) 8) (/ 1 (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))))) |
(* x (+ (* (+ (* 8/27 (* (* x (* x x)) (* x (* x x)))) 8) (/ 1 (- (+ (* (* x (* x (* x x))) 4/9) 4) (* (* x x) 4/3)))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))))) |
(+ (* (+ (* (* x (* x (* x x))) 4/9) -4) (/ 1 (+ (* (* x x) 2/3) -2))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))) |
(* 1/2 (* x (+ (* (+ (* (* x (* x (* x x))) 4/9) -4) (/ 1 (+ (* (* x x) 2/3) -2))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5)))))) |
(* x (+ (* (+ (* (* x (* x (* x x))) 4/9) -4) (/ 1 (+ (* (* x x) 2/3) -2))) (* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))))) |
(+ (* (* x (* x (* x x))) 4/9) -4) |
(* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) |
(* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)) |
(neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)))) |
(* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1))) |
(+ (* (* x (* x x)) (+ (* (* x x) 1/5) 1/3)) x) |
(* (* x (* x x)) (+ (* (* x x) 1/5) 1/3)) |
(* x (* x x)) |
(* x x) |
(* (* x x) 4/3) |
(* x (+ (* (* x x) 2/7) 2/5)) |
(* (* x (* x x)) (* x (+ (* (* x x) 2/7) 2/5))) |
(* x (* x (* x x))) |
(log (+ 1 (* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1))))) |
(- (log (+ 1 (neg (/ (* (* 2 (+ (* x x) x)) (* 2 (+ (* x x) x))) (* (+ (* x (neg x)) 1) (+ (* x (neg x)) 1)))))) (log (+ 1 (* -2 (/ (+ (* x x) x) (+ (* x (neg x)) 1)))))) |
(+ (* (* x x) 1/5) 1/3) |
| Outputs |
|---|
(exp.f32 (neg.f32 (*.f32 (log.f32 (fma.f32 (*.f32 x x) #s(literal -4/3 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32)))) #s(literal -1 binary32)))) |
(+.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32))) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) #s(literal -4/3 binary32)))) |
(+.f32 #s(literal 4 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) (*.f32 (*.f32 x x) #s(literal -4/3 binary32)))) |
(+.f32 #s(literal 4 binary32) (-.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32)))) |
(+.f32 (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal -4/3 binary32))) |
(+.f32 (*.f32 (*.f32 x x) #s(literal -4/3 binary32)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) |
(+.f32 (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) #s(literal -4/3 binary32))) (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)))) |
(pow.f32 (fma.f32 (*.f32 x x) #s(literal -4/3 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal -4/3 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 x (*.f32 x #s(literal 4/3 binary32)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))))) (fma.f32 (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32)) (*.f32 (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 64/27 binary32))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 4/3 binary32)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) (*.f32 (fma.f32 x (*.f32 x #s(literal 4/3 binary32)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) (fma.f32 (*.f32 x x) #s(literal -4/3 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))))) #s(literal -1 binary32)) |
(fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) #s(literal -4/3 binary32)))) |
(fma.f32 x (neg.f32 (*.f32 x #s(literal 4/3 binary32))) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) |
(fma.f32 x (*.f32 (*.f32 x #s(literal 2/3 binary32)) (*.f32 (*.f32 x x) #s(literal 2/3 binary32))) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) #s(literal -4/3 binary32)))) |
(fma.f32 x (*.f32 (neg.f32 x) #s(literal 4/3 binary32)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) |
(fma.f32 x (*.f32 (*.f32 x #s(literal 2/3 binary32)) #s(literal -2 binary32)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) |
(fma.f32 (*.f32 x x) (*.f32 (*.f32 x #s(literal 2/3 binary32)) (*.f32 x #s(literal 2/3 binary32))) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) #s(literal -4/3 binary32)))) |
(fma.f32 (*.f32 x x) #s(literal -4/3 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) |
(fma.f32 (*.f32 x x) (*.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) #s(literal 2/3 binary32))) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) #s(literal -4/3 binary32)))) |
(fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) #s(literal -4/3 binary32)))) |
(fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x #s(literal 4/9 binary32)) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) #s(literal -4/3 binary32)))) |
(fma.f32 #s(literal 4/9 binary32) (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) #s(literal -4/3 binary32)))) |
(fma.f32 #s(literal 4/3 binary32) (*.f32 x (neg.f32 x)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) |
(fma.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) #s(literal -2 binary32)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) |
(fma.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 2/3 binary32))) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) #s(literal -4/3 binary32)))) |
(fma.f32 (*.f32 (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 (*.f32 x x) #s(literal 2/3 binary32)) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) #s(literal -4/3 binary32)))) |
(fma.f32 (*.f32 (*.f32 x x) #s(literal 2/3 binary32)) #s(literal -2 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) |
(fma.f32 #s(literal -2 binary32) (*.f32 (*.f32 x x) #s(literal 2/3 binary32)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) |
(fma.f32 (neg.f32 x) (*.f32 x #s(literal 4/3 binary32)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) |
(fma.f32 (*.f32 x (neg.f32 x)) #s(literal 4/3 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) |
(fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32))) |
(fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) #s(literal -4/3 binary32)))) |
(fma.f32 (fma.f32 #s(literal 64/729 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 64 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 16/81 binary32) (-.f32 #s(literal 16 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 16/9 binary32))))) (*.f32 (*.f32 x x) #s(literal -4/3 binary32))) |
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(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) |
(pow.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/25 binary32) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)) (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/25 binary32) #s(literal -1/9 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 x #s(literal 1/5 binary32)) x #s(literal 1/3 binary32)) |
(-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/25 binary32) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)) (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/25 binary32) #s(literal -1/9 binary32)))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)) (fma.f32 (*.f32 x (*.f32 x (*.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 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/25 binary32)) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/25 binary32) #s(literal -1/9 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32))) (neg.f32 (fma.f32 (*.f32 x (*.f32 x (*.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 (*.f32 x (*.f32 x x))) #s(literal 1/25 binary32) #s(literal -1/9 binary32))) (neg.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)))) |
(/.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/25 binary32))) (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) |
(*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (*.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 x (*.f32 x (*.f32 x x))) #s(literal 1/25 binary32) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)))) |
| 1× | egg-herbie |
| 10 212× | accelerator-lowering-fma.f32 |
| 10 212× | accelerator-lowering-fma.f64 |
| 4 642× | *-lowering-*.f32 |
| 4 642× | *-lowering-*.f64 |
| 3 538× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 304 | 2600 |
| 1 | 880 | 2576 |
| 2 | 2228 | 2558 |
| 3 | 5983 | 2504 |
| 0 | 8357 | 2383 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4 |
(+ 4 (* -4/3 (pow x 2))) |
(+ 4 (* (pow x 2) (- (* 4/9 (pow x 2)) 4/3))) |
(+ 4 (* (pow x 2) (- (* 4/9 (pow x 2)) 4/3))) |
(* 4/9 (pow x 4)) |
(* (pow x 4) (- 4/9 (* 4/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 4/9 (/ 4 (pow x 4))) (* 4/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 4/9 (/ 4 (pow x 4))) (* 4/3 (/ 1 (pow x 2))))) |
(* 4/9 (pow x 4)) |
(* (pow x 4) (- 4/9 (* 4/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 4/9 (/ 4 (pow x 4))) (* 4/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 4/9 (/ 4 (pow x 4))) (* 4/3 (/ 1 (pow x 2))))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) |
(* 2/7 (pow x 6)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 2/7 (pow x 6)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
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))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* 2/7 (pow x 7)) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 2/7 (pow x 7)) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) |
(* 2/7 (pow x 6)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 2/7 (pow x 6)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
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))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* 2/7 (pow x 7)) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 2/7 (pow x 7)) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))))) |
-4 |
(- (* 4/9 (pow x 4)) 4) |
(- (* 4/9 (pow x 4)) 4) |
(- (* 4/9 (pow x 4)) 4) |
(* 4/9 (pow x 4)) |
(* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4))))) |
(* 4/9 (pow x 4)) |
(* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4))))) |
(* 4 (pow x 2)) |
(* (pow x 2) (+ 4 (* 8 x))) |
(* (pow x 2) (+ 4 (* x (+ 8 (* 4 x))))) |
(* (pow x 2) (+ 4 (* x (+ 8 (* 4 x))))) |
(* 4 (pow x 4)) |
(* (pow x 4) (+ 4 (* 8 (/ 1 x)))) |
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(* 4 (pow x 4)) |
(* (pow x 4) (+ 4 (* 8 (/ 1 x)))) |
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (pow x 2) 2))) |
(+ 1 (* (pow x 2) (- (pow x 2) 2))) |
(pow x 4) |
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(pow x 4) |
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* -8 x) 4)) |
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4)) |
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4)) |
-4 |
(* -1 (+ 4 (* 8 (/ 1 x)))) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4) |
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x)))) |
-4 |
(* -1 (+ 4 (* 8 (/ 1 x)))) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4) |
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4) |
(* -2 x) |
(* x (- (* -2 x) 2)) |
(* x (- (* x (- (* -2 x) 2)) 2)) |
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2)) |
2 |
(+ 2 (* 2 (/ 1 x))) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
2 |
(+ 2 (* 2 (/ 1 x))) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 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 (pow x 3)) |
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2)))) |
(* (pow x 3) (+ 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))))) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (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))))) |
(* (pow x 5) (+ 1/5 (* 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) |
(* 4/3 (pow x 2)) |
(* 4/3 (pow x 2)) |
(* 4/3 (pow x 2)) |
(* 4/3 (pow x 2)) |
(* 4/3 (pow x 2)) |
(* 4/3 (pow x 2)) |
(* 4/3 (pow x 2)) |
(* 4/3 (pow x 2)) |
(* 4/3 (pow x 2)) |
(* 4/3 (pow x 2)) |
(* 4/3 (pow x 2)) |
(* 4/3 (pow x 2)) |
(* 2/5 x) |
(* x (+ 2/5 (* 2/7 (pow x 2)))) |
(* x (+ 2/5 (* 2/7 (pow x 2)))) |
(* x (+ 2/5 (* 2/7 (pow x 2)))) |
(* 2/7 (pow x 3)) |
(* (pow x 3) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* 2/7 (pow x 3)) |
(* (pow x 3) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* 2/5 (pow x 4)) |
(* (pow x 4) (+ 2/5 (* 2/7 (pow x 2)))) |
(* (pow x 4) (+ 2/5 (* 2/7 (pow x 2)))) |
(* (pow x 4) (+ 2/5 (* 2/7 (pow x 2)))) |
(* 2/7 (pow x 6)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* 2/7 (pow x 6)) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* -2 x) |
(* x (- (* -4 x) 2)) |
(* x (- (* x (- (* -26/3 x) 4)) 2)) |
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2)) |
(log 3) |
(+ (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3)))))) |
(log 3) |
(+ (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(- (log -3) (log 3)) |
(- (+ (log -3) (* 2 (/ 1 x))) (log 3)) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3)) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3)) |
(- (log -3) (log 3)) |
(- (+ (log -3) (* 2 (/ 1 x))) (log 3)) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3)) |
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3)) |
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))))) |
| Outputs |
|---|
4 |
#s(literal 4 binary32) |
(+ 4 (* -4/3 (pow x 2))) |
(fma.f32 #s(literal -4/3 binary32) (*.f32 x x) #s(literal 4 binary32)) |
(+ 4 (* (pow x 2) (- (* 4/9 (pow x 2)) 4/3))) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 4/9 binary32)) #s(literal -4/3 binary32)) #s(literal 4 binary32)) |
(+ 4 (* (pow x 2) (- (* 4/9 (pow x 2)) 4/3))) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 4/9 binary32)) #s(literal -4/3 binary32)) #s(literal 4 binary32)) |
(* 4/9 (pow x 4)) |
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32))) |
(* (pow x 4) (- 4/9 (* 4/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 4/9 binary32) (/.f32 #s(literal -4/3 binary32) (*.f32 x x)))) |
(* (pow x 4) (- (+ 4/9 (/ 4 (pow x 4))) (* 4/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 4/9 binary32) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -4/3 binary32) (*.f32 x x))))) |
(* (pow x 4) (- (+ 4/9 (/ 4 (pow x 4))) (* 4/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 4/9 binary32) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -4/3 binary32) (*.f32 x x))))) |
(* 4/9 (pow x 4)) |
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32))) |
(* (pow x 4) (- 4/9 (* 4/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 4/9 binary32) (/.f32 #s(literal -4/3 binary32) (*.f32 x x)))) |
(* (pow x 4) (- (+ 4/9 (/ 4 (pow x 4))) (* 4/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 4/9 binary32) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -4/3 binary32) (*.f32 x x))))) |
(* (pow x 4) (- (+ 4/9 (/ 4 (pow x 4))) (* 4/3 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 4/9 binary32) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -4/3 binary32) (*.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 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) |
(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)) |
(* 2/7 (pow x 6)) |
(*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 6 binary32))) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x)))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
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(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(fma.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 2 binary32)) |
(* 2/7 (pow x 6)) |
(*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 6 binary32))) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x)))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
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(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(fma.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 2 binary32)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.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 (*.f32 x 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)) |
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(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
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(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) |
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(* 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)))) |
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(* 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)))))) |
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(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
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(* 2/7 (pow x 7)) |
(*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(*.f32 (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(*.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32)))))) (pow.f32 x #s(literal 7 binary32))) |
(* 2/7 (pow x 7)) |
(*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
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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 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) |
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) |
(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)) |
(* 2/7 (pow x 6)) |
(*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 6 binary32))) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x)))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
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(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(fma.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 2 binary32)) |
(* 2/7 (pow x 6)) |
(*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 6 binary32))) |
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x)))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(fma.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 2 binary32)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.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 (*.f32 x 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)))))) |
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(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
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(* 1/7 (pow x 7)) |
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(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) |
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(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) |
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(* 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)))))) |
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(* 2/7 (pow x 7)) |
(*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) |
(*.f32 (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(*.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32)))))) (pow.f32 x #s(literal 7 binary32))) |
(* 2/7 (pow x 7)) |
(*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 7 binary32))) |
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 #s(literal 2/7 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 7 binary32))) |
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(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))))) |
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-4 |
#s(literal -4 binary32) |
(- (* 4/9 (pow x 4)) 4) |
(fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) |
(- (* 4/9 (pow x 4)) 4) |
(fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) |
(- (* 4/9 (pow x 4)) 4) |
(fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) |
(* 4/9 (pow x 4)) |
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32))) |
(* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4))))) |
(fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) |
(* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4))))) |
(fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) |
(* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4))))) |
(fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) |
(* 4/9 (pow x 4)) |
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32))) |
(* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4))))) |
(fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) |
(* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4))))) |
(fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) |
(* (pow x 4) (- 4/9 (* 4 (/ 1 (pow x 4))))) |
(fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) |
(* 4 (pow x 2)) |
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(* (pow x 2) (+ 4 (* 8 x))) |
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(* (pow x 2) (+ 4 (* x (+ 8 (* 4 x))))) |
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(* (pow x 2) (+ 4 (* x (+ 8 (* 4 x))))) |
(*.f32 (*.f32 x x) (fma.f32 x (fma.f32 #s(literal 4 binary32) x #s(literal 8 binary32)) #s(literal 4 binary32))) |
(* 4 (pow x 4)) |
(*.f32 #s(literal 4 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) |
(* (pow x 4) (+ 4 (* 8 (/ 1 x)))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) x))) |
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (/.f32 #s(literal 8 binary32) x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 x x))))) |
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (/.f32 #s(literal 8 binary32) x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 x x))))) |
(* 4 (pow x 4)) |
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(* (pow x 4) (+ 4 (* 8 (/ 1 x)))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) x))) |
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (/.f32 #s(literal 8 binary32) x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 x x))))) |
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (/.f32 #s(literal 8 binary32) x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 x x))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (- (pow x 2) 2))) |
(fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -2 binary32)) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (- (pow x 2) 2))) |
(fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -2 binary32)) #s(literal 1 binary32)) |
(pow x 4) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2))))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) |
(* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x))) #s(literal 1 binary32)) |
(* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x))) #s(literal 1 binary32)) |
(pow x 4) |
(*.f32 x (*.f32 x (*.f32 x x))) |
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(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) |
(* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x))) #s(literal 1 binary32)) |
(* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x))) #s(literal 1 binary32)) |
(* -4 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -4 binary32)) |
(* (pow x 2) (- (* -8 x) 4)) |
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(* (pow x 2) (- (* x (- (* -12 x) 8)) 4)) |
(*.f32 x (*.f32 x (fma.f32 x (fma.f32 x #s(literal -12 binary32) #s(literal -8 binary32)) #s(literal -4 binary32)))) |
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4)) |
(*.f32 (*.f32 x x) (fma.f32 x (fma.f32 x (fma.f32 x #s(literal -16 binary32) #s(literal -12 binary32)) #s(literal -8 binary32)) #s(literal -4 binary32))) |
-4 |
#s(literal -4 binary32) |
(* -1 (+ 4 (* 8 (/ 1 x)))) |
(-.f32 #s(literal -4 binary32) (/.f32 #s(literal 8 binary32) x)) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4) |
(+.f32 #s(literal -4 binary32) (/.f32 (+.f32 #s(literal -8 binary32) (/.f32 #s(literal -12 binary32) x)) x)) |
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x)))) |
(fma.f32 (/.f32 #s(literal -1 binary32) x) (+.f32 (/.f32 (+.f32 #s(literal 12 binary32) (/.f32 #s(literal 16 binary32) x)) x) #s(literal 8 binary32)) #s(literal -4 binary32)) |
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#s(literal -4 binary32) |
(* -1 (+ 4 (* 8 (/ 1 x)))) |
(-.f32 #s(literal -4 binary32) (/.f32 #s(literal 8 binary32) x)) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4) |
(+.f32 #s(literal -4 binary32) (/.f32 (+.f32 #s(literal -8 binary32) (/.f32 #s(literal -12 binary32) x)) x)) |
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4) |
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(*.f32 x #s(literal -2 binary32)) |
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#s(literal 2 binary32) |
(+ 2 (* 2 (/ 1 x))) |
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2 |
#s(literal 2 binary32) |
(+ 2 (* 2 (/ 1 x))) |
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(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
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x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.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) |
(* 1/5 (pow x 5)) |
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(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
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(* 1/5 (pow x 5)) |
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(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) |
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(pow x 3) |
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(pow x 3) |
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(pow x 3) |
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(pow x 3) |
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(pow x 3) |
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(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) |
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(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
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(* 4/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 4/3 binary32)) |
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(* 2/5 (pow x 4)) |
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(* (pow x 4) (+ 2/5 (* 2/7 (pow x 2)))) |
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(* 2/7 (pow x 6)) |
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(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) |
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(*.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 -3) (log 3)) |
(-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) |
(- (+ (log -3) (* 2 (/ 1 x))) (log 3)) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3)) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x))) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3)) |
(+.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x))) (/.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) |
(- (log -3) (log 3)) |
(-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) |
(- (+ (log -3) (* 2 (/ 1 x))) (log 3)) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) |
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3)) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x))) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) |
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3)) |
(+.f32 (log.f32 #s(literal -3 binary32)) (-.f32 (/.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) (log.f32 #s(literal 3 binary32)))) |
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)) |
Compiled 97 166 to 6 063 computations (93.8% saved)
14 alts after pruning (3 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 628 | 3 | 1 631 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 1 | 9 | 10 |
| Total | 1 631 | 14 | 1 645 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (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) |
| ✓ | 99.1% | (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) |
| ✓ | 98.5% | (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
| ✓ | 99.1% | (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) x) |
| 99.4% | (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))) x (/.f32 (*.f32 x (fma.f32 x (*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 8/27 binary32)) #s(literal 8 binary32))) (fma.f32 (*.f32 x x) #s(literal -4/3 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32)))))) | |
| ✓ | 99.3% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal -2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) |
| ✓ | 99.4% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
| 99.3% | (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 #s(literal 8/27 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 4/9 binary32)) #s(literal -4/3 binary32)) #s(literal 4 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) | |
| ✓ | 99.4% | (*.f32 #s(literal 1/2 binary32) (*.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)))) |
| ✓ | 99.1% | (*.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)))) |
| ✓ | 98.4% | (*.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)))) |
| 22.8% | (*.f32 #s(literal 1/2 binary32) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -4 binary32) (*.f32 (fma.f32 x x x) (fma.f32 x x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))))) | |
| ✓ | 96.9% | x |
Compiled 761 to 297 computations (61% saved)
| Inputs |
|---|
x |
(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 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) 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)))) |
(*.f32 #s(literal 1/2 binary32) (fma.f32 x #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 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) (*.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)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal -2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 #s(literal 8/27 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 4/9 binary32)) #s(literal -4/3 binary32)) #s(literal 4 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))) x (/.f32 (*.f32 x (fma.f32 x (*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 8/27 binary32)) #s(literal 8 binary32))) (fma.f32 (*.f32 x x) #s(literal -4/3 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 #s(literal 8/27 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 4/3 binary32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.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) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -4 binary32) (*.f32 (fma.f32 x x x) (fma.f32 x x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))))) |
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))))) |
| 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))))) |
4 calls:
| 6.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 6.0ms | x |
| 5.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 5.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) 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 |
(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 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) 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)))) |
(*.f32 #s(literal 1/2 binary32) (fma.f32 x #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 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) (*.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)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal -2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 #s(literal 8/27 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 4/9 binary32)) #s(literal -4/3 binary32)) #s(literal 4 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))) x (/.f32 (*.f32 x (fma.f32 x (*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 8/27 binary32)) #s(literal 8 binary32))) (fma.f32 (*.f32 x x) #s(literal -4/3 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 #s(literal 8/27 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 4/3 binary32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) |
(*.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:
| 7.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 5.0ms | x |
| 5.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 5.0ms | (/.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 |
(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 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) 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)))) |
(*.f32 #s(literal 1/2 binary32) (fma.f32 x #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 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) (*.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)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal -2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 #s(literal 8/27 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 4/9 binary32)) #s(literal -4/3 binary32)) #s(literal 4 binary32))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))) x (/.f32 (*.f32 x (fma.f32 x (*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 8/27 binary32)) #s(literal 8 binary32))) (fma.f32 (*.f32 x x) #s(literal -4/3 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 4/9 binary32)) #s(literal 4 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (fma.f32 #s(literal 8/27 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 4/9 binary32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 4/3 binary32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))))))) |
| 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:
| 5.0ms | (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)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 99.4% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 99.4% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
(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 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) 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)))) |
(*.f32 #s(literal 1/2 binary32) (fma.f32 x #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))))))) |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) 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 |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 99.1% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 99.1% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
(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) |
| 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:
| 3.0ms | (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)))) |
| 2.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 99.1% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 99.1% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
(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 | (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)))) |
| 2.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 98.5% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 98.5% | 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 |
| Outputs |
|---|
x |
4 calls:
| 3.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 1.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 1.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
| 96.9% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 96.9% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 96.9% | 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 |
| 16× | *-commutative_binary32 |
| 6× | +-commutative_binary32 |
| 4× | sub-neg_binary32 |
| 2× | neg-sub0_binary32 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 79 |
| 1 | 45 | 79 |
| 2 | 48 | 79 |
| 3 | 49 | 79 |
| 1× | saturated |
| 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))))) |
(*.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) |
(+.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) 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 #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 (*.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) |
(+.f32 (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) x) |
(+.f32 x (*.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 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 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x) |
x |
| 12 938× | accelerator-lowering-fma.f32 |
| 12 938× | accelerator-lowering-fma.f64 |
| 7 476× | accelerator-lowering-fma.f32 |
| 7 476× | accelerator-lowering-fma.f64 |
| 4 858× | *-lowering-*.f32 |
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 |
| 0 | 43 | 227 |
| 1 | 261 | 217 |
| 2 | 2163 | 217 |
| 0 | 8846 | 190 |
| 0 | 10 | 32 |
| 1 | 49 | 32 |
| 2 | 399 | 32 |
| 3 | 5586 | 32 |
| 0 | 8628 | 28 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 151 to 70 computations (53.6% saved)
Compiled 182 to 78 computations (57.1% saved)
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