
Time bar (total: 10.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 66.7% | 50% | 25% | 0% | 0% | 25% | 0% | 3 |
| 83.3% | 62.5% | 12.5% | 0% | 0% | 25% | 0% | 4 |
| 91.7% | 68.7% | 6.2% | 0% | 0% | 25% | 0% | 5 |
| 95.8% | 71.8% | 3.1% | 0% | 0% | 25% | 0% | 6 |
| 97.9% | 73.4% | 1.6% | 0% | 0% | 25% | 0% | 7 |
| 99% | 74.2% | 0.8% | 0% | 0% | 25% | 0% | 8 |
| 99.5% | 74.6% | 0.4% | 0% | 0% | 25% | 0% | 9 |
| 99.7% | 74.8% | 0.2% | 0% | 0% | 25% | 0% | 10 |
| 99.9% | 74.9% | 0.1% | 0% | 0% | 25% | 0% | 11 |
| 99.9% | 74.9% | 0% | 0% | 0% | 25% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 428.0ms | 8 254× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
| 0.0ms | 3× | 0 | invalid |
ival-div: 110.0ms (40.3% of total)ival-add: 88.0ms (32.2% of total)ival-sqrt: 62.0ms (22.7% of total)exact: 5.0ms (1.8% of total)ival-true: 5.0ms (1.8% of total)ival-assert: 3.0ms (1.1% of total)adjust: 0.0ms (0% of total)| 1× | egg-herbie |
| 44× | associate-*l* |
| 42× | distribute-lft-neg-in |
| 42× | times-frac |
| 38× | unsub-neg |
| 36× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 23 | 17 |
| 2 | 51 | 16 |
| 3 | 110 | 16 |
| 4 | 221 | 16 |
| 5 | 333 | 16 |
| 6 | 361 | 16 |
| 7 | 377 | 16 |
| 8 | 390 | 16 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 14 | 8 |
| 0 | 14 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 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 |
| 30.0ms | 512× | 0 | valid |
Compiled 68 to 28 computations (58.8% saved)
ival-add: 9.0ms (49.3% of total)ival-sqrt: 4.0ms (21.9% of total)ival-div: 3.0ms (16.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 8× | lower-+.f32 |
| 4× | lift-+.f64 |
| 4× | lower-+.f64 |
| 4× | +-commutative |
| 2× | lift-sqrt.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 23 |
| 0 | 10 | 23 |
| 1 | 14 | 23 |
| 0 | 14 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
x |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
x |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 17.0ms | 256× | 0 | valid |
Compiled 25 to 8 computations (68% saved)
ival-add: 3.0ms (40.8% of total)ival-div: 2.0ms (27.2% of total)ival-sqrt: 2.0ms (27.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))> |
#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))> |
#<alt (sqrt.f64 (+.f64 x #s(literal 1 binary64)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))> |
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))> |
#<alt (sqrt x)> |
#<alt (- (sqrt x) 1)> |
#<alt (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)> |
#<alt (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))> |
#<alt (* -1 (sqrt x))> |
#<alt (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))> |
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))> |
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))> |
#<alt 2> |
#<alt (+ 2 (* 1/2 x))> |
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ x (+ 1 (sqrt (+ x 1)))) |
| 1.0ms | x | @ | inf | (/ x (+ 1 (sqrt (+ x 1)))) |
| 0.0ms | x | @ | -inf | (sqrt (+ x 1)) |
| 0.0ms | x | @ | -inf | (+ 1 (sqrt (+ x 1))) |
| 0.0ms | x | @ | inf | (sqrt (+ x 1)) |
| 1× | batch-egg-rewrite |
| 3 950× | lower-fma.f64 |
| 3 950× | lower-fma.f32 |
| 3 308× | lower-/.f32 |
| 3 306× | lower-/.f64 |
| 2 908× | lower-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 46 | 21 |
| 2 | 315 | 20 |
| 3 | 3400 | 20 |
| 0 | 8278 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(+.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x)))) |
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x (neg.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x)))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (neg.f64 x)))) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (/.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 x)) |
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(/.f64 (fabs.f64 (neg.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64)))) (fabs.f64 (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (fabs.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (fabs.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (fabs.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))) (fabs.f64 (fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) (fabs.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) (fabs.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 x))) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (fabs.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (fabs.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fabs.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x x)))) (exp.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x))))) |
(*.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (fabs.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (fabs.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (fabs.f64 (fma.f64 x x #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (fabs.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (fabs.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (fabs.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (fabs.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(*.f64 (fabs.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))) (fabs.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(*.f64 (fabs.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (fabs.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (fabs.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
| 1× | egg-herbie |
| 18 662× | lower-fma.f64 |
| 18 662× | lower-fma.f32 |
| 3 776× | lower-*.f64 |
| 3 776× | lower-*.f32 |
| 2 642× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 600 |
| 1 | 485 | 505 |
| 2 | 1633 | 483 |
| 3 | 5433 | 474 |
| 0 | 8374 | 430 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) |
(sqrt x) |
(- (sqrt x) 1) |
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1) |
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x))))))) |
(* -1 (sqrt x)) |
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2))) |
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) |
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x))) |
2 |
(+ 2 (* 1/2 x)) |
(+ 2 (* x (+ 1/2 (* -1/8 x)))) |
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (/ 1 x))) |
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
(- (sqrt x) 1) |
(+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1) |
(+.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x))))))) |
(+.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) |
(* -1 (sqrt x)) |
(neg.f64 (sqrt.f64 x)) |
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2))) |
(-.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) |
(-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) x) x)) |
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x))) |
(-.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) x) x) #s(literal 1 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (/ 1 x))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(-.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 x (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 11 045 to 2 091 computations (81.1% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 511 | 9 | 520 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 511 | 10 | 521 |
| Status | Accuracy | Program |
|---|---|---|
| 68.6% | (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) | |
| ✓ | 99.7% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 33.3% | (/.f64 x (sqrt.f64 x)) | |
| 32.8% | (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) | |
| ▶ | 90.6% | (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ▶ | 68.0% | (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
| ▶ | 66.5% | (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
| ▶ | 67.9% | (*.f64 #s(literal 1/2 binary64) x) |
| 33.5% | (sqrt.f64 x) | |
| ▶ | 38.7% | (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 149 to 96 computations (35.6% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 128 | (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 4 352× | lower-fma.f32 |
| 4 344× | lower-fma.f64 |
| 1 624× | lower-*.f32 |
| 1 616× | lower-*.f64 |
| 1 018× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 125 |
| 0 | 40 | 125 |
| 1 | 81 | 124 |
| 2 | 169 | 124 |
| 3 | 307 | 124 |
| 4 | 530 | 124 |
| 5 | 1078 | 124 |
| 6 | 2348 | 124 |
| 7 | 4131 | 124 |
| 8 | 5153 | 124 |
| 9 | 5361 | 124 |
| 10 | 5371 | 124 |
| 11 | 5371 | 124 |
| 12 | 5769 | 124 |
| 13 | 6001 | 124 |
| 14 | 6024 | 124 |
| 15 | 6024 | 124 |
| 16 | 6024 | 124 |
| 17 | 6028 | 124 |
| 0 | 6028 | 124 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
x |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
x |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/8 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
x |
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
#s(literal 1/16 binary64) |
#s(literal -1/8 binary64) |
#s(literal 1/2 binary64) |
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
| Outputs |
|---|
(*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
x |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(literal 2 binary64) x) |
(+.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
x |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/8 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
x |
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
#s(literal 1/16 binary64) |
#s(literal -1/8 binary64) |
#s(literal 1/2 binary64) |
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 38.7% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ✓ | accuracy | 90.9% | (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
| 29.0ms | 66× | 2 | valid |
| 29.0ms | 98× | 1 | valid |
| 24.0ms | 92× | 0 | valid |
Compiled 137 to 27 computations (80.3% saved)
ival-add: 22.0ms (36.7% of total)ival-mult: 13.0ms (21.7% of total)adjust: 10.0ms (16.7% of total)ival-sqrt: 4.0ms (6.7% of total)ival-sub: 4.0ms (6.7% of total)ival-div: 3.0ms (5% of total)ival-neg: 2.0ms (3.3% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))> |
#<alt (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))> |
#<alt (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (*.f64 #s(literal 1/2 binary64) x)> |
#<alt (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))> |
#<alt (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))> |
#<alt (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))> |
#<alt (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))> |
#<alt (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))> |
#<alt (sqrt.f64 (+.f64 x #s(literal 1 binary64)))> |
| Outputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))> |
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))> |
#<alt (* (sqrt x) (- 1 (sqrt (/ 1 x))))> |
#<alt (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))> |
#<alt (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))> |
#<alt (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x)))> |
#<alt (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -3/8 x)))> |
#<alt (* x (+ 1/2 (* x (- (* 3/16 x) 3/8))))> |
#<alt (* x (+ 1/2 (* x (- (* x (+ 3/16 (* -7/128 x))) 3/8))))> |
#<alt (sqrt (/ 1 x))> |
#<alt (/ (+ (sqrt x) (* -1 (/ (+ x (* 3/2 (sqrt (pow x 3)))) (pow x 2)))) x)> |
#<alt (/ (- (+ (sqrt x) (* -3/2 (sqrt (/ 1 (pow x 3))))) (+ (* 3/2 (sqrt (/ 1 x))) (/ 1 x))) x)> |
#<alt (/ (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt x) (* (+ 1 (* 3/2 (sqrt x))) (+ x (* 3/2 (sqrt (pow x 3))))))) (* 1/2 (* (sqrt (pow x 3)) (- 1 (* 9/4 x))))) (pow x 4)))) (+ (* 3/2 (sqrt (/ 1 x))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))) x)> |
#<alt (sqrt (/ 1 x))> |
#<alt (* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2))))) x))> |
#<alt (* -1 (/ (- (+ (* -1 (sqrt x)) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))) (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2)))) x))> |
#<alt (* -1 (/ (- (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ (- 1 (* -9/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (sqrt x) (/ (pow (+ 1 (* 3/2 (sqrt x))) 2) (pow (sqrt -1) 2)))) (* 3/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow x 3)))) (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2)))) x))> |
#<alt 2> |
#<alt (+ 2 (* 3/2 x))> |
#<alt (+ 2 (* x (+ 3/2 (* 3/8 x))))> |
#<alt (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))> |
#<alt (sqrt (pow x 3))> |
#<alt (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2)))))))> |
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))> |
#<alt (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/8 x))> |
#<alt (+ 1/2 (* -1/8 x))> |
#<alt (+ 1/2 (* -1/8 x))> |
#<alt (* -1/8 x)> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* -1/8 x)> |
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))> |
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))> |
#<alt (* 1/16 (pow x 3))> |
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))> |
#<alt (* 1/16 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/8 x))> |
#<alt (+ 1/2 (* x (- (* 1/16 x) 1/8)))> |
#<alt (+ 1/2 (* x (- (* 1/16 x) 1/8)))> |
#<alt (* 1/16 (pow x 2))> |
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))> |
#<alt (* 1/16 (pow x 2))> |
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))> |
#<alt -1/8> |
#<alt (- (* 1/16 x) 1/8)> |
#<alt (- (* 1/16 x) 1/8)> |
#<alt (- (* 1/16 x) 1/8)> |
#<alt (* 1/16 x)> |
#<alt (* x (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* x (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* x (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* 1/16 x)> |
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))> |
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))> |
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))> |
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))> |
#<alt (sqrt x)> |
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 x)))> |
#<alt (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))> |
#<alt (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/8 x) 1/2))> |
#<alt (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))> |
#<alt (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2))> |
#<alt (* -1 (sqrt x))> |
#<alt (* x (- (/ 1 x) (sqrt (/ 1 x))))> |
#<alt (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x))))> |
#<alt (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* (sqrt x) (pow (sqrt -1) 2))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (* (/ x (+ (* (+ x 1) (sqrt (+ x 1))) 1)) (- (+ 2 x) (sqrt (+ x 1)))) |
| 1.0ms | x | @ | -inf | (/ x (+ (* (+ x 1) (sqrt (+ x 1))) 1)) |
| 1.0ms | x | @ | inf | (* (/ x (+ (* (+ x 1) (sqrt (+ x 1))) 1)) (- (+ 2 x) (sqrt (+ x 1)))) |
| 1.0ms | x | @ | 0 | (+ (* (+ x 1) (sqrt (+ x 1))) 1) |
| 1.0ms | x | @ | inf | (/ x (+ (* (+ x 1) (sqrt (+ x 1))) 1)) |
| 1× | batch-egg-rewrite |
| 4 628× | lower-/.f32 |
| 4 626× | lower-/.f64 |
| 4 090× | lower-fma.f32 |
| 4 082× | lower-fma.f64 |
| 3 830× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 93 |
| 0 | 40 | 93 |
| 1 | 182 | 86 |
| 2 | 1410 | 86 |
| 0 | 8610 | 86 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 (-.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(-.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (fma.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64)))) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64)))) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) x))) |
(fma.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(fma.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 x (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 x (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) x) (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))))) (*.f64 x (fma.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(+.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x))) |
(fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 1× | egg-herbie |
| 12 538× | lower-fma.f64 |
| 12 538× | lower-fma.f32 |
| 5 296× | lower-+.f64 |
| 5 296× | lower-+.f32 |
| 5 010× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 369 | 1973 |
| 1 | 1113 | 1764 |
| 2 | 3761 | 1680 |
| 0 | 8291 | 1563 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) |
(* (sqrt x) (- 1 (sqrt (/ 1 x)))) |
(+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) |
(- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x))) |
(* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -3/8 x))) |
(* x (+ 1/2 (* x (- (* 3/16 x) 3/8)))) |
(* x (+ 1/2 (* x (- (* x (+ 3/16 (* -7/128 x))) 3/8)))) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 (/ (+ x (* 3/2 (sqrt (pow x 3)))) (pow x 2)))) x) |
(/ (- (+ (sqrt x) (* -3/2 (sqrt (/ 1 (pow x 3))))) (+ (* 3/2 (sqrt (/ 1 x))) (/ 1 x))) x) |
(/ (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt x) (* (+ 1 (* 3/2 (sqrt x))) (+ x (* 3/2 (sqrt (pow x 3))))))) (* 1/2 (* (sqrt (pow x 3)) (- 1 (* 9/4 x))))) (pow x 4)))) (+ (* 3/2 (sqrt (/ 1 x))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))) x) |
(sqrt (/ 1 x)) |
(* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (* -1 (sqrt x)) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))) (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ (- 1 (* -9/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (sqrt x) (/ (pow (+ 1 (* 3/2 (sqrt x))) 2) (pow (sqrt -1) 2)))) (* 3/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow x 3)))) (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2)))) x)) |
2 |
(+ 2 (* 3/2 x)) |
(+ 2 (* x (+ 3/2 (* 3/8 x)))) |
(+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x)))))) |
(sqrt (pow x 3)) |
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* -1/8 x))) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
1/2 |
(+ 1/2 (* -1/8 x)) |
(+ 1/2 (* -1/8 x)) |
(+ 1/2 (* -1/8 x)) |
(* -1/8 x) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(* -1/8 x) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(* 1/16 (pow x 3)) |
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(* 1/16 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))) |
1/2 |
(+ 1/2 (* -1/8 x)) |
(+ 1/2 (* x (- (* 1/16 x) 1/8))) |
(+ 1/2 (* x (- (* 1/16 x) 1/8))) |
(* 1/16 (pow x 2)) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(* 1/16 (pow x 2)) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))) |
-1/8 |
(- (* 1/16 x) 1/8) |
(- (* 1/16 x) 1/8) |
(- (* 1/16 x) 1/8) |
(* 1/16 x) |
(* x (- 1/16 (* 1/8 (/ 1 x)))) |
(* x (- 1/16 (* 1/8 (/ 1 x)))) |
(* x (- 1/16 (* 1/8 (/ 1 x)))) |
(* 1/16 x) |
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16))) |
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16))) |
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) |
(sqrt x) |
(* x (- (sqrt (/ 1 x)) (/ 1 x))) |
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1/2 x) |
(* x (- (* 1/8 x) 1/2)) |
(* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) |
(* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2)) |
(* -1 (sqrt x)) |
(* x (- (/ 1 x) (sqrt (/ 1 x)))) |
(* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x)))) |
(* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(* (sqrt x) (- 1 (sqrt (/ 1 x)))) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))) |
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) |
(+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) |
(-.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))) |
(- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x))) |
(-.f64 (-.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 x (*.f64 x x)))) (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))) |
(* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) |
(+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(-.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -2 binary64) (/.f64 (*.f64 x (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64))) (neg.f64 x))) x)) |
(+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(-.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 (-.f64 (*.f64 x (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) #s(literal -2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))) x)) x)) x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -3/8 x))) |
(*.f64 x (fma.f64 x #s(literal -3/8 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (- (* 3/16 x) 3/8)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal -3/8 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (- (* x (+ 3/16 (* -7/128 x))) 3/8)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/128 binary64) #s(literal 3/16 binary64)) #s(literal -3/8 binary64)) #s(literal 1/2 binary64))) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 (/ (+ x (* 3/2 (sqrt (pow x 3)))) (pow x 2)))) x) |
(/.f64 (-.f64 (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) x) (*.f64 x x))) x) |
(/ (- (+ (sqrt x) (* -3/2 (sqrt (/ 1 (pow x 3))))) (+ (* 3/2 (sqrt (/ 1 x))) (/ 1 x))) x) |
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 #s(literal -3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) x))) x) |
(/ (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt x) (* (+ 1 (* 3/2 (sqrt x))) (+ x (* 3/2 (sqrt (pow x 3))))))) (* 1/2 (* (sqrt (pow x 3)) (- 1 (* 9/4 x))))) (pow x 4)))) (+ (* 3/2 (sqrt (/ 1 x))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))) x) |
(/.f64 (+.f64 (sqrt.f64 x) (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) x) (*.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal -9/4 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) x)))) x) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2))))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) x) (sqrt.f64 x)) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1 (sqrt x)) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))) (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2)))) x)) |
(/.f64 (-.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) x)) (sqrt.f64 x)) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ (- 1 (* -9/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (sqrt x) (/ (pow (+ 1 (* 3/2 (sqrt x))) 2) (pow (sqrt -1) 2)))) (* 3/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow x 3)))) (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2)))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9/4 binary64))) #s(literal -1/2 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))))) (neg.f64 x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 3/2 x)) |
(fma.f64 x #s(literal 3/2 binary64) #s(literal 2 binary64)) |
(+ 2 (* x (+ 3/2 (* 3/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 3/8 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (fma.f64 x #s(literal -9/4 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) #s(literal 1 binary64)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (-.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -9/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* -1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* -1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/8 x)) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/8 x)) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/8 x)) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(* 1/16 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) |
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))) |
(* 1/16 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/8 x)) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (- (* 1/16 x) 1/8))) |
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (- (* 1/16 x) 1/8))) |
(fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) |
(* 1/16 (pow x 2)) |
(*.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)))) |
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(* 1/16 (pow x 2)) |
(*.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)))) |
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
-1/8 |
#s(literal -1/8 binary64) |
(- (* 1/16 x) 1/8) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(- (* 1/16 x) 1/8) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(- (* 1/16 x) 1/8) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(* 1/16 x) |
(*.f64 x #s(literal 1/16 binary64)) |
(* x (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* x (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* x (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* 1/16 x) |
(*.f64 x #s(literal 1/16 binary64)) |
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16))) |
(*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16))) |
(*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16))) |
(*.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
(* x (- (sqrt (/ 1 x)) (/ 1 x))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (*.f64 x x)) #s(literal -1 binary64))) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/8 x) 1/2)) |
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) |
(* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) |
(* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/128 binary64) #s(literal -1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) |
(* -1 (sqrt x)) |
(neg.f64 (sqrt.f64 x)) |
(* x (- (/ 1 x) (sqrt (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x) #s(literal 1 binary64)) |
(* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x)))) |
(fma.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 x)) |
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(neg.f64 (fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (*.f64 x x)) #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x)) |
Compiled 24 904 to 2 658 computations (89.3% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 960 | 3 | 963 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 962 | 11 | 973 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.0% | (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) |
| ▶ | 66.5% | (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | 99.7% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 33.3% | (/.f64 x (sqrt.f64 x)) | |
| ▶ | 32.8% | (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
| ▶ | 38.7% | (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| ✓ | 90.6% | (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ✓ | 68.0% | (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 66.5% | (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
| ✓ | 67.9% | (*.f64 #s(literal 1/2 binary64) x) |
| ▶ | 33.5% | (sqrt.f64 x) |
Compiled 133 to 89 computations (33.1% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
| ✓ | cost-diff | 320 | (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) |
| 132× | lower-fma.f32 |
| 126× | lower-fma.f64 |
| 70× | lower-*.f32 |
| 66× | lower-*.f64 |
| 64× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 69 |
| 0 | 29 | 69 |
| 1 | 45 | 67 |
| 2 | 65 | 67 |
| 3 | 95 | 67 |
| 4 | 150 | 67 |
| 5 | 158 | 67 |
| 0 | 158 | 65 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
x |
#s(literal 1/16 binary64) |
#s(literal -1/8 binary64) |
(*.f64 x x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
x |
(+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -1 binary64) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(literal -1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x x) |
x |
#s(literal -1/8 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
x |
#s(literal 1/16 binary64) |
#s(literal -1/8 binary64) |
(*.f64 x x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
x |
(+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -1 binary64) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(literal -1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(*.f64 x x) |
x |
#s(literal -1/8 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 70.0% | (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) |
| 77.0ms | 87× | 0 | invalid |
| 11.0ms | 37× | 2 | valid |
| 10.0ms | 89× | 0 | valid |
| 9.0ms | 43× | 1 | valid |
Compiled 75 to 21 computations (72% saved)
ival-mult: 11.0ms (38.8% of total)ival-add: 8.0ms (28.2% of total)adjust: 4.0ms (14.1% of total)ival-sqrt: 4.0ms (14.1% of total)exact: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))> |
#<alt (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 x #s(literal 1/2 binary64))> |
#<alt (sqrt.f64 x)> |
#<alt (+.f64 (sqrt.f64 x) #s(literal -1 binary64))> |
#<alt (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))> |
#<alt (sqrt.f64 (+.f64 x #s(literal 1 binary64)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))> |
| Outputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))> |
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))> |
#<alt (* 1/16 (pow x 3))> |
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))> |
#<alt (* 1/16 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))> |
#<alt -1/8> |
#<alt (- (* 1/16 x) 1/8)> |
#<alt (- (* 1/16 x) 1/8)> |
#<alt (- (* 1/16 x) 1/8)> |
#<alt (* 1/16 x)> |
#<alt (* x (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* x (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* x (- 1/16 (* 1/8 (/ 1 x))))> |
#<alt (* 1/16 x)> |
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))> |
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))> |
#<alt (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))> |
#<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 (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (- (sqrt x) 1)> |
#<alt (- (sqrt x) 1)> |
#<alt (- (sqrt x) 1)> |
#<alt (- (sqrt x) 1)> |
#<alt (sqrt x)> |
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 x)))> |
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 x)))> |
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 x)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))> |
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))> |
#<alt (sqrt x)> |
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 x)))> |
#<alt (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))> |
#<alt (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (sqrt x) |
| 0.0ms | x | @ | -inf | (+ (* (+ (* x 1/16) -1/8) (* x x)) (* x 1/2)) |
| 0.0ms | x | @ | inf | (+ (* (+ (* x 1/16) -1/8) (* x x)) (* x 1/2)) |
| 0.0ms | x | @ | inf | (sqrt x) |
| 0.0ms | x | @ | inf | (* x x) |
| 1× | batch-egg-rewrite |
| 12 156× | lower-fma.f32 |
| 12 150× | lower-fma.f64 |
| 5 990× | lower-*.f32 |
| 5 986× | lower-*.f64 |
| 3 264× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 48 |
| 0 | 29 | 48 |
| 1 | 119 | 46 |
| 2 | 860 | 46 |
| 0 | 8349 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(*.f64 x x) |
(*.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))) |
(+.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/16 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/16 binary64))) (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/16 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) |
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/16 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))))) (/.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))) |
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/16 binary64))) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/16 binary64))))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/16 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/16 binary64))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/16 binary64))))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/16 binary64))))) |
(fma.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/16 binary64))) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/16 binary64))) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/16 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))) |
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(neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal 1/4 binary64))) (neg.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal 1/4 binary64))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)))) (*.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/512 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))))))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal 1/4 binary64))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64))))) (neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (*.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) x) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) |
| 1× | egg-herbie |
| 17 584× | lower-fma.f64 |
| 17 584× | lower-fma.f32 |
| 3 474× | lower-*.f64 |
| 3 474× | lower-*.f32 |
| 2 744× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 851 |
| 1 | 384 | 803 |
| 2 | 1147 | 774 |
| 3 | 3607 | 763 |
| 4 | 7104 | 763 |
| 0 | 8029 | 704 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(* 1/16 (pow x 3)) |
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(* 1/16 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))) |
-1/8 |
(- (* 1/16 x) 1/8) |
(- (* 1/16 x) 1/8) |
(- (* 1/16 x) 1/8) |
(* 1/16 x) |
(* x (- 1/16 (* 1/8 (/ 1 x)))) |
(* x (- 1/16 (* 1/8 (/ 1 x)))) |
(* x (- 1/16 (* 1/8 (/ 1 x)))) |
(* 1/16 x) |
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16))) |
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16))) |
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16))) |
(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) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (sqrt x) 1) |
(- (sqrt x) 1) |
(- (sqrt x) 1) |
(- (sqrt x) 1) |
(sqrt x) |
(* x (- (sqrt (/ 1 x)) (/ 1 x))) |
(* x (- (sqrt (/ 1 x)) (/ 1 x))) |
(* x (- (sqrt (/ 1 x)) (/ 1 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) |
(sqrt x) |
(* x (- (sqrt (/ 1 x)) (/ 1 x))) |
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x))) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* -1/8 x))) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(* 1/16 (pow x 3)) |
(*.f64 (*.f64 x #s(literal 1/16 binary64)) (*.f64 x x)) |
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1/8 binary64)))) |
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1/8 binary64)))) |
(* 1/16 (pow x 3)) |
(*.f64 (*.f64 x #s(literal 1/16 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))) |
(*.f64 x (*.f64 x (fma.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1/8 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))) |
(*.f64 x (*.f64 x (fma.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1/8 binary64)))) |
-1/8 |
#s(literal -1/8 binary64) |
(- (* 1/16 x) 1/8) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(- (* 1/16 x) 1/8) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(- (* 1/16 x) 1/8) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(* 1/16 x) |
(*.f64 x #s(literal 1/16 binary64)) |
(* x (- 1/16 (* 1/8 (/ 1 x)))) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(* x (- 1/16 (* 1/8 (/ 1 x)))) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(* x (- 1/16 (* 1/8 (/ 1 x)))) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(* 1/16 x) |
(*.f64 x #s(literal 1/16 binary64)) |
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16))) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16))) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/16))) |
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(- (sqrt x) 1) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(- (sqrt x) 1) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(- (sqrt x) 1) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(- (sqrt x) 1) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
(* x (- (sqrt (/ 1 x)) (/ 1 x))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* x (- (sqrt (/ 1 x)) (/ 1 x))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* x (- (sqrt (/ 1 x)) (/ 1 x))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
(* x (- (sqrt (/ 1 x)) (/ 1 x))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(-.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 x (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* -1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* -1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
Compiled 11 761 to 1 440 computations (87.8% saved)
14 alts after pruning (4 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 654 | 3 | 657 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 654 | 14 | 668 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.0% | (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | 66.5% | (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | 99.7% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ▶ | 33.3% | (/.f64 x (sqrt.f64 x)) |
| ✓ | 32.8% | (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
| ▶ | 5.4% | (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ▶ | 7.3% | (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
| ✓ | 38.7% | (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| ▶ | 4.6% | (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
| ✓ | 90.6% | (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ✓ | 68.0% | (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 66.5% | (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
| ✓ | 67.9% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | 33.5% | (sqrt.f64 x) |
Compiled 113 to 78 computations (31% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 x (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 256 | (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
| ✓ | cost-diff | 256 | (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
| 12 080× | associate-+r+ |
| 7 068× | lower-+.f32 |
| 7 064× | lower-+.f64 |
| 1 434× | +-commutative |
| 1 364× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 0 | 25 | 49 |
| 1 | 43 | 47 |
| 2 | 69 | 43 |
| 3 | 89 | 43 |
| 4 | 181 | 43 |
| 5 | 410 | 43 |
| 6 | 443 | 43 |
| 7 | 443 | 43 |
| 8 | 1078 | 43 |
| 9 | 1190 | 43 |
| 10 | 1190 | 43 |
| 11 | 1190 | 43 |
| 12 | 2811 | 43 |
| 13 | 2811 | 43 |
| 14 | 3216 | 43 |
| 15 | 3216 | 43 |
| 16 | 3216 | 43 |
| 0 | 9136 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/8 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 x (sqrt.f64 x)) |
x |
(sqrt.f64 x) |
| Outputs |
|---|
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
#s(literal 0 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal -1 binary64) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
#s(literal -1 binary64) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/8 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 x (sqrt.f64 x)) |
x |
(sqrt.f64 x) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.5% | (/.f64 x (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 70.0% | (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
| ✓ | accuracy | 70.0% | (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
| 100.0ms | 43× | 1 | valid |
| 9.0ms | 89× | 0 | valid |
| 9.0ms | 87× | 0 | invalid |
| 8.0ms | 31× | 2 | valid |
| 2.0ms | 6× | 3 | valid |
Compiled 60 to 18 computations (70% saved)
ival-add: 10.0ms (44.7% of total)ival-mult: 5.0ms (22.3% of total)adjust: 3.0ms (13.4% of total)ival-sqrt: 2.0ms (8.9% of total)ival-div: 1.0ms (4.5% of total)exact: 1.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))> |
#<alt (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))> |
#<alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))> |
#<alt (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))> |
#<alt (/.f64 x (sqrt.f64 x))> |
#<alt (sqrt.f64 x)> |
| Outputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* x (+ 1/2 (* -1/8 x)))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/8 x))> |
#<alt (+ 1/2 (* -1/8 x))> |
#<alt (+ 1/2 (* -1/8 x))> |
#<alt (* -1/8 x)> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))> |
#<alt (* -1/8 x)> |
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ x (sqrt x)) |
| 0.0ms | x | @ | inf | (+ -1 (+ (* 1/2 x) 1)) |
| 0.0ms | x | @ | inf | (+ (* x (+ (* x -1/8) 1/2)) 1) |
| 0.0ms | x | @ | -inf | (+ (* 1/2 x) 1) |
| 0.0ms | x | @ | 0 | (+ -1 (+ (* 1/2 x) 1)) |
| 1× | batch-egg-rewrite |
| 10 906× | lower-fma.f32 |
| 10 900× | lower-fma.f64 |
| 4 770× | lower-*.f64 |
| 4 770× | lower-*.f32 |
| 4 104× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 37 |
| 0 | 25 | 39 |
| 1 | 110 | 37 |
| 2 | 870 | 29 |
| 0 | 8771 | 29 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(/.f64 x (sqrt.f64 x)) |
(sqrt.f64 x) |
| Outputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64)))) |
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
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(/.f64 x (sqrt.f64 x)) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 x (sqrt.f64 x)) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
| 1× | egg-herbie |
| 10 702× | lower-fma.f64 |
| 10 702× | lower-fma.f32 |
| 2 918× | lower-*.f64 |
| 2 918× | lower-*.f32 |
| 1 906× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 348 |
| 1 | 85 | 348 |
| 2 | 185 | 348 |
| 3 | 420 | 348 |
| 4 | 790 | 348 |
| 5 | 1546 | 348 |
| 6 | 4820 | 348 |
| 0 | 8331 | 306 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* -1/8 x))) |
(* x (+ 1/2 (* -1/8 x))) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8)) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8)) |
1/2 |
(+ 1/2 (* -1/8 x)) |
(+ 1/2 (* -1/8 x)) |
(+ 1/2 (* -1/8 x)) |
(* -1/8 x) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(* -1/8 x) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* -1/8 x))) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* -1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* -1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* -1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8)) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8)) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* -1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/8 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8)) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8)) |
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/8 x)) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/8 x)) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/8 x)) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/8)) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(* -1/8 x) |
(*.f64 x #s(literal -1/8 binary64)) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Compiled 15 650 to 1 570 computations (90% saved)
16 alts after pruning (3 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 732 | 3 | 735 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 10 | 10 |
| Total | 733 | 16 | 749 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.0% | (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | 66.5% | (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | 99.7% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ✓ | 33.3% | (/.f64 x (sqrt.f64 x)) |
| 7.3% | (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| ✓ | 32.8% | (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
| ✓ | 5.4% | (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | 7.3% | (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
| 4.9% | (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) | |
| ✓ | 38.7% | (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| ✓ | 90.6% | (*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ✓ | 68.0% | (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 66.5% | (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
| ✓ | 67.9% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | 33.5% | (sqrt.f64 x) |
| 4.6% | #s(literal 0 binary64) |
Compiled 249 to 130 computations (47.8% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 x) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 x (sqrt.f64 x)) |
(fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
2 calls:
| 7.0ms | x |
| 6.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 x) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 x (sqrt.f64 x)) |
(fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) |
| Outputs |
|---|
(fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 5.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | x |
| 99.7% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 x) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 x (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 98.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
| 99.6% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 x) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 4.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | x |
| 99.5% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 x) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 10.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | x |
| 99.5% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 x) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | x |
| 98.3% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 x) |
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 x) |
2 calls:
| 3.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 2 | x |
| 97.4% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 x) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) x) |
(sqrt.f64 x) |
2 calls:
| 3.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | x |
| 96.8% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) x) |
2 calls:
| 6.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.9% | 1 | x |
| 67.9% | 1 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 7 computations (36.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal 0 binary64) |
2 calls:
| 2.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.6% | 1 | x |
| 4.6% | 1 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.240951734307404e-6 | 0.006467629611990602 |
Compiled 12 to 10 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.240951734307404e-6 | 0.006467629611990602 |
Compiled 12 to 10 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.240951734307404e-6 | 0.006467629611990602 |
Compiled 12 to 10 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.240951734307404e-6 | 0.006467629611990602 |
Compiled 12 to 10 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.1020707669895095 | 13.157343349744853 |
Compiled 12 to 10 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.1020707669895095 | 13.157343349744853 |
Compiled 12 to 10 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.1020707669895095 | 13.157343349744853 |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 6× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 170 |
| 1 | 44 | 170 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 x)) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 0 binary64) |
| Outputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (fma.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 x)) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) |
(if (<=.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 0 binary64) |
| 18 662× | lower-fma.f64 |
| 18 662× | lower-fma.f32 |
| 17 584× | lower-fma.f64 |
| 17 584× | lower-fma.f32 |
| 10 906× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 37 |
| 0 | 25 | 39 |
| 1 | 110 | 37 |
| 2 | 870 | 29 |
| 0 | 8771 | 29 |
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 46 | 21 |
| 2 | 315 | 20 |
| 3 | 3400 | 20 |
| 0 | 8278 | 20 |
| 0 | 21 | 93 |
| 0 | 40 | 93 |
| 1 | 182 | 86 |
| 2 | 1410 | 86 |
| 0 | 8610 | 86 |
| 0 | 135 | 851 |
| 1 | 384 | 803 |
| 2 | 1147 | 774 |
| 3 | 3607 | 763 |
| 4 | 7104 | 763 |
| 0 | 8029 | 704 |
| 0 | 161 | 600 |
| 1 | 485 | 505 |
| 2 | 1633 | 483 |
| 3 | 5433 | 474 |
| 0 | 8374 | 430 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 359 to 166 computations (53.8% saved)
Compiled 360 to 80 computations (77.8% saved)
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