
Time bar (total: 9.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 10 computations (23.1% saved)
| 766.0ms | 8 256× | 0 | valid |
ival-div: 126.0ms (41.4% of total)ival-add: 113.0ms (37.2% of total)ival-mult: 50.0ms (16.4% of total)ival-true: 6.0ms (2% of total)exact: 5.0ms (1.6% of total)ival-assert: 3.0ms (1% of total)| 1× | egg-herbie |
| 2 086× | div-sub |
| 1 020× | unsub-neg |
| 896× | sub-neg |
| 818× | distribute-lft-in |
| 792× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 65 |
| 1 | 81 | 57 |
| 2 | 207 | 55 |
| 3 | 680 | 55 |
| 4 | 1654 | 55 |
| 5 | 3109 | 55 |
| 6 | 4447 | 55 |
| 7 | 5053 | 55 |
| 8 | 5609 | 55 |
| 9 | 6055 | 55 |
| 10 | 6151 | 55 |
| 11 | 6653 | 55 |
| 12 | 7061 | 55 |
| 13 | 7281 | 55 |
| 14 | 7593 | 55 |
| 15 | 7817 | 55 |
| 16 | 7825 | 55 |
| 17 | 7825 | 55 |
| 0 | 8 | 11 |
| 0 | 13 | 11 |
| 1 | 26 | 11 |
| 2 | 35 | 11 |
| 3 | 63 | 11 |
| 4 | 100 | 11 |
| 5 | 157 | 11 |
| 6 | 238 | 11 |
| 7 | 269 | 11 |
| 8 | 275 | 11 |
| 9 | 289 | 11 |
| 10 | 291 | 11 |
| 11 | 291 | 11 |
| 12 | 292 | 11 |
| 13 | 294 | 11 |
| 14 | 302 | 11 |
| 0 | 302 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 31 | 0 | - | 0 | - | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 x y) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | o/n | 31 | 0 |
| ↳ | (/.f64 x y) | overflow | 26 | |
| ↳ | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | overflow | 57 | |
| ↳ | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | overflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 31 | 0 |
| - | 0 | 225 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 31 | 0 | 0 |
| - | 0 | 0 | 225 |
| number | freq |
|---|---|
| 0 | 225 |
| 1 | 31 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 46.0ms | 512× | 0 | valid |
Compiled 94 to 36 computations (61.7% saved)
ival-div: 23.0ms (71.8% of total)ival-add: 5.0ms (15.6% of total)ival-mult: 3.0ms (9.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.6% | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 x y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
| 166× | lower-*.f32 |
| 164× | lower-*.f64 |
| 98× | associate-*r* |
| 92× | lower-fma.f64 |
| 92× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 0 | 13 | 32 |
| 1 | 26 | 32 |
| 2 | 35 | 32 |
| 3 | 63 | 32 |
| 4 | 100 | 32 |
| 5 | 157 | 32 |
| 6 | 238 | 32 |
| 7 | 269 | 32 |
| 8 | 275 | 32 |
| 9 | 289 | 32 |
| 10 | 291 | 32 |
| 11 | 291 | 32 |
| 12 | 292 | 32 |
| 13 | 294 | 32 |
| 14 | 302 | 32 |
| 0 | 302 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
x |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
y |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 x (/.f64 x y) x) |
x |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
y |
#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 (/.f64 x y) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
| ✓ | accuracy | 88.6% | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 16.0ms | 256× | 0 | valid |
Compiled 34 to 10 computations (70.6% saved)
ival-div: 4.0ms (49.9% of total)ival-add: 2.0ms (25% of total)ival-mult: 2.0ms (25% 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 (/.f64 x y) #s(literal 1 binary64)))> |
#<alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))> |
#<alt (+.f64 (/.f64 x y) #s(literal 1 binary64))> |
#<alt (/.f64 x y)> |
#<alt (+.f64 x #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt x> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt x> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt x> |
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))> |
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))> |
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))> |
#<alt (/ x y)> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ x (+ 1 x))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (/ x (+ 1 x))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (/ x y))> |
#<alt (+ 1 (/ x y))> |
#<alt (+ 1 (/ x y))> |
#<alt (/ x y)> |
#<alt (* x (+ (/ 1 x) (/ 1 y)))> |
#<alt (* x (+ (/ 1 x) (/ 1 y)))> |
#<alt (* x (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ x y)> |
#<alt (* x (+ (/ 1 x) (/ 1 y)))> |
#<alt (* x (+ (/ 1 x) (/ 1 y)))> |
#<alt (* x (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ x y)> |
#<alt (/ (+ x y) y)> |
#<alt (/ (+ x y) y)> |
#<alt (/ (+ x y) y)> |
#<alt 1> |
#<alt (+ 1 (/ x y))> |
#<alt (+ 1 (/ x y))> |
#<alt (+ 1 (/ x y))> |
#<alt 1> |
#<alt (+ 1 (/ x y))> |
#<alt (+ 1 (/ x y))> |
#<alt (+ 1 (/ x y))> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<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)))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (/ (* x (+ (/ x y) 1)) (+ x 1)) |
| 1.0ms | x | @ | -inf | (* x (+ (/ x y) 1)) |
| 1.0ms | x | @ | inf | (* x (+ (/ x y) 1)) |
| 0.0ms | x | @ | 0 | (* x (+ (/ x y) 1)) |
| 0.0ms | y | @ | -inf | (* x (+ (/ x y) 1)) |
| 1× | batch-egg-rewrite |
| 3 588× | lower-*.f32 |
| 3 586× | lower-*.f64 |
| 3 312× | lower-/.f32 |
| 3 308× | lower-/.f64 |
| 3 296× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 0 | 13 | 29 |
| 1 | 62 | 29 |
| 2 | 454 | 29 |
| 3 | 7068 | 29 |
| 0 | 8044 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 (/.f64 (*.f64 x x) y) x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (/.f64 x y) x))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 x x) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) y) x))) |
(fma.f64 x (/.f64 x y) x) |
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 x x) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) y) x) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) y) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) x) |
(fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1 binary64) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 (*.f64 x x) y)) |
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 x) x) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) x) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y) x) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y) x) |
(neg.f64 (neg.f64 (fma.f64 x (/.f64 x y) x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (fma.f64 x x (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 x x) y) x)) |
(/.f64 (fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) x) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 x x) y) x)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (*.f64 x x) y) x))) |
(/.f64 (neg.f64 (fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) x)) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))) (-.f64 x (/.f64 (*.f64 x x) y))) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
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(fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(neg.f64 (-.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.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 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (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 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) |
(/.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 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.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 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) |
(/.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 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 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)) |
(*.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 x #s(literal -1 binary64)))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(*.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x 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 (/.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 x (*.f64 (*.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 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.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)))) |
| 1× | egg-herbie |
| 21 530× | lower-fma.f64 |
| 21 530× | lower-fma.f32 |
| 4 414× | lower-*.f64 |
| 4 414× | lower-*.f32 |
| 3 134× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 745 |
| 1 | 250 | 724 |
| 2 | 660 | 648 |
| 3 | 3422 | 635 |
| 0 | 9168 | 612 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(/ (pow x 2) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
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 |
|---|
x |
(* x (+ 1 (/ x y))) |
(fma.f64 x (/.f64 x y) x) |
(* x (+ 1 (/ x y))) |
(fma.f64 x (/.f64 x y) x) |
(* x (+ 1 (/ x y))) |
(fma.f64 x (/.f64 x y) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/.f64 (*.f64 x (+.f64 x y)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/.f64 (*.f64 x (+.f64 x y)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/.f64 (*.f64 x (+.f64 x y)) y) |
x |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
x |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (*.f64 x x) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 x (+.f64 (/.f64 x y) (*.f64 x (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x x)))))))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))) x)) x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(/ (+ x y) y) |
(/.f64 (+.f64 x y) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 x y) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 x y) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
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 10 835 to 1 188 computations (89% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 486 | 13 | 499 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 487 | 13 | 500 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.0% | (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| 51.3% | (fma.f64 (*.f64 x x) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x) | |
| 59.6% | (fma.f64 x (-.f64 (/.f64 x y) x) x) | |
| ▶ | 88.6% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 73.3% | (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (+.f64 x #s(literal 1 binary64))) |
| 30.0% | (/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64))) | |
| 67.9% | (/.f64 (*.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) | |
| 49.8% | (/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| 88.5% | (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| ▶ | 88.5% | (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 55.7% | (/.f64 x (+.f64 x #s(literal 1 binary64))) | |
| ▶ | 36.3% | (/.f64 x y) |
| 41.6% | (*.f64 x (/.f64 x (fma.f64 x y y))) |
Compiled 332 to 192 computations (42.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 x y)) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 x (+.f64 x y)) y) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 x y) x x) |
| ✓ | cost-diff | 384 | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| 9 070× | lower-fma.f32 |
| 9 066× | lower-fma.f64 |
| 3 954× | lower-*.f32 |
| 3 950× | lower-*.f64 |
| 1 782× | lower-/.f32 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 123 |
| 0 | 38 | 113 |
| 1 | 79 | 110 |
| 2 | 133 | 110 |
| 3 | 249 | 110 |
| 4 | 442 | 110 |
| 5 | 828 | 110 |
| 6 | 1196 | 110 |
| 7 | 2477 | 107 |
| 8 | 4705 | 107 |
| 0 | 8696 | 107 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
x |
y |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 x y)) y) |
(*.f64 x (+.f64 x y)) |
x |
(+.f64 x y) |
y |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
x |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y)) |
(/.f64 (*.f64 x (+.f64 x y)) y) |
(fma.f64 x (/.f64 x y) x) |
(*.f64 x (+.f64 x y)) |
x |
(+.f64 x y) |
y |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y)) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(fma.f64 x (/.f64 x y) x) |
x |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
(+.f64 x #s(literal 1 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 1 binary64) (/.f64 y x)) |
| ✓ | accuracy | 88.6% | (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 x y)) |
| ✓ | accuracy | 88.6% | (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 84.9% | (/.f64 (*.f64 x (+.f64 x y)) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 x y) x x) |
| ✓ | accuracy | 88.6% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| 47.0ms | 256× | 0 | valid |
Compiled 125 to 24 computations (80.8% saved)
ival-div: 18.0ms (57% of total)ival-add: 7.0ms (22.2% of total)ival-mult: 6.0ms (19% 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 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))> |
#<alt (fma.f64 (/.f64 x y) x x)> |
#<alt (/.f64 x y)> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) y)> |
#<alt (+.f64 x #s(literal -1 binary64))> |
#<alt (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (+.f64 x #s(literal 1 binary64)))> |
#<alt (/.f64 (*.f64 x (+.f64 x y)) y)> |
#<alt (*.f64 x (+.f64 x y))> |
#<alt (+.f64 x y)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y x))> |
#<alt (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)))> |
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))> |
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))> |
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))> |
#<alt (/ x y)> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y))))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ x (+ 1 x))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (/ x (+ 1 x))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt x> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt x> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<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 (/ (- x 1) y)> |
#<alt (/ (- (+ x y) 1) y)> |
#<alt (/ (- (+ x y) 1) y)> |
#<alt (/ (- (+ x y) 1) y)> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- 1 (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (/ x y)> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt x> |
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))> |
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))> |
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))> |
#<alt (/ x y)> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ x (+ 1 x))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (/ x (+ 1 x))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt x> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt x> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (* x y)> |
#<alt (* x (+ x y))> |
#<alt (* x (+ x y))> |
#<alt (* x (+ x y))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (pow x 2)> |
#<alt (+ (* x y) (pow x 2))> |
#<alt (+ (* x y) (pow x 2))> |
#<alt (+ (* x y) (pow x 2))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ (pow x 2) y)))> |
#<alt (* y (+ x (/ (pow x 2) y)))> |
#<alt (* y (+ x (/ (pow x 2) y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt x> |
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))> |
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))> |
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))> |
#<alt (/ x y)> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ x (+ 1 x))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (/ x (+ 1 x))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt x> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt x> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (/ x y)> |
#<alt (/ (+ x y) y)> |
#<alt (/ (+ x y) y)> |
#<alt (/ (+ x y) y)> |
#<alt 1> |
#<alt (+ 1 (/ x y))> |
#<alt (+ 1 (/ x y))> |
#<alt (+ 1 (/ x y))> |
#<alt 1> |
#<alt (+ 1 (/ x y))> |
#<alt (+ 1 (/ x y))> |
#<alt (+ 1 (/ x y))> |
#<alt 1> |
#<alt (+ 1 (/ x y))> |
#<alt (+ 1 (/ x y))> |
#<alt (+ 1 (/ x y))> |
#<alt (/ x y)> |
#<alt (* x (+ (/ 1 x) (/ 1 y)))> |
#<alt (* x (+ (/ 1 x) (/ 1 y)))> |
#<alt (* x (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ x y)> |
#<alt (* x (+ (/ 1 x) (/ 1 y)))> |
#<alt (* x (+ (/ 1 x) (/ 1 y)))> |
#<alt (* x (+ (/ 1 x) (/ 1 y)))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (+ (* (/ 1 y) (+ x -1)) 1) |
| 1.0ms | y | @ | -inf | (+ (* (/ 1 y) (+ x -1)) 1) |
| 1.0ms | y | @ | -inf | (/ (/ (* x (+ x y)) y) (+ x 1)) |
| 0.0ms | y | @ | inf | (/ (/ (* x (+ x y)) y) (+ x 1)) |
| 0.0ms | y | @ | 0 | (/ (+ (* (/ x y) x) x) (+ x 1)) |
| 1× | batch-egg-rewrite |
| 6 340× | lower-fma.f32 |
| 6 336× | lower-fma.f64 |
| 4 908× | lower-/.f32 |
| 4 894× | lower-/.f64 |
| 4 888× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 96 |
| 0 | 38 | 86 |
| 1 | 181 | 85 |
| 2 | 1368 | 85 |
| 0 | 8289 | 85 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 x y)) y) |
(*.f64 x (+.f64 x y)) |
(+.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (-.f64 (/.f64 (*.f64 x x) y) x)) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) y) x)) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 x x) y) x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 x x) y) x)))) |
(neg.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 x x) y) x))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (/.f64 x y) x))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 x x) y) x)))) |
(/.f64 (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (/.f64 (*.f64 x x) y) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (-.f64 (/.f64 (*.f64 x x) y) x))) |
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (/.f64 x y) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (-.f64 (/.f64 (*.f64 x x) y) x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x (/.f64 x y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64))) x) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
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(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) x) |
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 x (neg.f64 y)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (*.f64 x x)) (*.f64 x (*.f64 x x))) y))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 x x) y) x)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (*.f64 x x)) (*.f64 x (*.f64 x x))) y)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (*.f64 x x) y) x))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))) (-.f64 x (/.f64 (*.f64 x x) y))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) x) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) x) (+.f64 (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (-.f64 (/.f64 (*.f64 x x) y) x)) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (-.f64 (/.f64 (*.f64 x x) y) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x x) y) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 (*.f64 x x) y)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (neg.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) x)) (neg.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) x)) (neg.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (-.f64 (/.f64 (*.f64 x x) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (-.f64 (/.f64 (*.f64 x x) y) x)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (-.f64 (/.f64 (*.f64 x x) y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) y) x)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (-.f64 (/.f64 (*.f64 x x) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) y) x)))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x x) y) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) |
(/.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))))))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(*.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 13 280× | lower-fma.f64 |
| 13 280× | lower-fma.f32 |
| 4 308× | lower-*.f64 |
| 4 308× | lower-*.f32 |
| 1 956× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 2382 |
| 1 | 433 | 2301 |
| 2 | 1189 | 1956 |
| 3 | 5408 | 1950 |
| 0 | 8496 | 1869 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(/ (pow x 2) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
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))) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(/ (pow x 2) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(* x y) |
(* x (+ x y)) |
(* x (+ x y)) |
(* x (+ x y)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(pow x 2) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(* x y) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(/ (pow x 2) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(/ x y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
| Outputs |
|---|
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 x (*.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (-.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (*.f64 x x) x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(+.f64 (fma.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x y))))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x) (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 x (/.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) x) (/.f64 x y)) |
(/ (pow x 2) (* y (+ 1 x))) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
x |
(* x (+ 1 (/ x y))) |
(fma.f64 x (/.f64 x y) x) |
(* x (+ 1 (/ x y))) |
(fma.f64 x (/.f64 x y) x) |
(* x (+ 1 (/ x y))) |
(fma.f64 x (/.f64 x y) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 x (/.f64 x y) x) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 x (/.f64 x y) x) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 x (/.f64 x y) x) |
x |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
x |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
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)) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/ (- (+ x y) 1) y) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/ (- (+ x y) 1) y) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.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 |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 x (*.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (-.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (*.f64 x x) x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(+.f64 (fma.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x y))))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(fma.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x) (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(fma.f64 x (/.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) x) (/.f64 x y)) |
(/ (pow x 2) (* y (+ 1 x))) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
x |
(* x (+ 1 (/ x y))) |
(fma.f64 x (/.f64 x y) x) |
(* x (+ 1 (/ x y))) |
(fma.f64 x (/.f64 x y) x) |
(* x (+ 1 (/ x y))) |
(fma.f64 x (/.f64 x y) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 x (/.f64 x y) x) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 x (/.f64 x y) x) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 x (/.f64 x y) x) |
x |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
x |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(* x y) |
(*.f64 x y) |
(* x (+ x y)) |
(*.f64 x (+.f64 x y)) |
(* x (+ x y)) |
(*.f64 x (+.f64 x y)) |
(* x (+ x y)) |
(*.f64 x (+.f64 x y)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 x (+.f64 x y)) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 x (+.f64 x y)) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 x (+.f64 x y)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 x (+.f64 x y)) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 x (+.f64 x y)) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 x (+.f64 x y)) |
(pow x 2) |
(*.f64 x x) |
(+ (* x y) (pow x 2)) |
(*.f64 x (+.f64 x y)) |
(+ (* x y) (pow x 2)) |
(*.f64 x (+.f64 x y)) |
(+ (* x y) (pow x 2)) |
(*.f64 x (+.f64 x y)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 x (+.f64 x y)) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 x (+.f64 x y)) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 x (+.f64 x y)) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 x (+.f64 x y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 x (+.f64 x y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 x (+.f64 x y)) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 x (*.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (-.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (*.f64 x x) x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(+.f64 (fma.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x y))))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(fma.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x) (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(fma.f64 x (/.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) x) (/.f64 x y)) |
(/ (pow x 2) (* y (+ 1 x))) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
x |
(* x (+ 1 (/ x y))) |
(fma.f64 x (/.f64 x y) x) |
(* x (+ 1 (/ x y))) |
(fma.f64 x (/.f64 x y) x) |
(* x (+ 1 (/ x y))) |
(fma.f64 x (/.f64 x y) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 x (/.f64 x y) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 x (/.f64 x y) x) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 x (/.f64 x y) x) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 x (/.f64 x y) x) |
x |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
x |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ (+ x y) y) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ (+ x y) y) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ (+ x y) y) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
Compiled 20 973 to 1 917 computations (90.9% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 179 | 11 | 1 190 |
| Fresh | 4 | 4 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 187 | 16 | 1 203 |
| Status | Accuracy | Program |
|---|---|---|
| 59.6% | (fma.f64 x (-.f64 (/.f64 x y) x) x) | |
| 53.7% | (fma.f64 x (*.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) x) | |
| 16.5% | (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 49.8% | (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x x) (+.f64 x #s(literal 1 binary64))) | |
| 35.6% | (/.f64 (+.f64 x #s(literal -1 binary64)) y) | |
| 67.9% | (/.f64 (*.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) | |
| 59.8% | (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| ▶ | 77.5% | (/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
| 34.4% | (/.f64 (*.f64 x x) (fma.f64 x y y)) | |
| 55.7% | (/.f64 x (+.f64 x #s(literal 1 binary64))) | |
| ✓ | 36.3% | (/.f64 x y) |
| 48.0% | (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) | |
| ▶ | 36.3% | (*.f64 (/.f64 #s(literal 1 binary64) y) x) |
| ▶ | 77.3% | (*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64))))) |
| ▶ | 41.6% | (*.f64 x (/.f64 x (fma.f64 x y y))) |
| ▶ | 15.6% | #s(literal 1 binary64) |
Compiled 339 to 211 computations (37.8% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 x y)) |
| ✓ | cost-diff | 128 | (*.f64 y (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 x y y) |
| ✓ | cost-diff | 0 | (/.f64 x (fma.f64 x y y)) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 x (fma.f64 x y y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) x) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 x y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 y (+.f64 x #s(literal 1 binary64))) |
| 6 770× | lower-*.f32 |
| 6 760× | lower-*.f64 |
| 4 602× | lower-fma.f32 |
| 4 600× | lower-fma.f64 |
| 3 528× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 101 |
| 0 | 28 | 94 |
| 1 | 65 | 92 |
| 2 | 123 | 92 |
| 3 | 347 | 92 |
| 4 | 696 | 92 |
| 5 | 815 | 92 |
| 6 | 1137 | 92 |
| 7 | 2599 | 92 |
| 8 | 2929 | 92 |
| 9 | 3012 | 92 |
| 10 | 3032 | 92 |
| 11 | 3033 | 92 |
| 12 | 3033 | 92 |
| 13 | 3690 | 92 |
| 14 | 3988 | 92 |
| 15 | 4055 | 92 |
| 16 | 4086 | 92 |
| 17 | 4089 | 92 |
| 18 | 4089 | 92 |
| 19 | 4089 | 92 |
| 20 | 5063 | 92 |
| 21 | 5521 | 92 |
| 22 | 5557 | 92 |
| 23 | 5557 | 92 |
| 24 | 5631 | 92 |
| 25 | 5631 | 92 |
| 0 | 8732 | 92 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
(*.f64 x (+.f64 x y)) |
x |
(+.f64 x y) |
y |
(*.f64 y (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
x |
(/.f64 x (fma.f64 x y y)) |
(fma.f64 x y y) |
y |
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64))))) |
(*.f64 x (+.f64 x y)) |
x |
(+.f64 x y) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(*.f64 y (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y)) |
(*.f64 x (+.f64 x y)) |
x |
(+.f64 x y) |
y |
(*.f64 y (+.f64 x #s(literal 1 binary64))) |
(fma.f64 x y y) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
x |
(/.f64 x (fma.f64 x y y)) |
(fma.f64 x y y) |
y |
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y)) |
(*.f64 x (+.f64 x y)) |
x |
(+.f64 x y) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y y)) |
#s(literal 1 binary64) |
(*.f64 y (+.f64 x #s(literal 1 binary64))) |
(fma.f64 x y y) |
(+.f64 x #s(literal 1 binary64)) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 x y)) |
| ✓ | accuracy | 100.0% | (*.f64 y (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 77.7% | (*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64))))) |
| ✓ | accuracy | 100.0% | (fma.f64 x y y) |
| ✓ | accuracy | 99.8% | (*.f64 x (/.f64 x (fma.f64 x y y))) |
| ✓ | accuracy | 89.3% | (/.f64 x (fma.f64 x y y)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) y) x) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 x y)) |
| ✓ | accuracy | 100.0% | (*.f64 y (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 77.8% | (/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
| 74.0ms | 256× | 0 | valid |
Compiled 103 to 18 computations (82.5% saved)
ival-mult: 9.0ms (46% of total)ival-div: 6.0ms (30.7% of total)ival-add: 4.0ms (20.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 y (+.f64 x #s(literal 1 binary64)))> |
#<alt (/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x #s(literal 1 binary64))))> |
#<alt (*.f64 x (+.f64 x y))> |
#<alt (+.f64 x y)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) x)> |
#<alt (/.f64 #s(literal 1 binary64) y)> |
#<alt (*.f64 x (/.f64 x (fma.f64 x y y)))> |
#<alt (/.f64 x (fma.f64 x y y))> |
#<alt (fma.f64 x y y)> |
#<alt (*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64)))))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64))))> |
| Outputs |
|---|
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt y> |
#<alt (+ y (* x y))> |
#<alt (+ y (* x y))> |
#<alt (+ y (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
#<alt x> |
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))> |
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))> |
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))> |
#<alt (/ x y)> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ x (+ 1 x))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (/ x (+ 1 x))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (* x y)> |
#<alt (* x (+ x y))> |
#<alt (* x (+ x y))> |
#<alt (* x (+ x y))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (pow x 2)> |
#<alt (+ (* x y) (pow x 2))> |
#<alt (+ (* x y) (pow x 2))> |
#<alt (+ (* x y) (pow x 2))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ (pow x 2) y)))> |
#<alt (* y (+ x (/ (pow x 2) y)))> |
#<alt (* y (+ x (/ (pow x 2) y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ (pow x 2) y)> |
#<alt (* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))> |
#<alt (/ x y)> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))> |
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))> |
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))> |
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))> |
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))> |
#<alt (/ 1 y)> |
#<alt (- (/ 1 y) (/ 1 (* x y)))> |
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))> |
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))> |
#<alt (/ 1 y)> |
#<alt (- (/ 1 y) (/ 1 (* x y)))> |
#<alt (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))> |
#<alt (/ x (* y (+ 1 x)))> |
#<alt (/ x (* y (+ 1 x)))> |
#<alt (/ x (* y (+ 1 x)))> |
#<alt (/ x (* y (+ 1 x)))> |
#<alt (/ x (* y (+ 1 x)))> |
#<alt (/ x (* y (+ 1 x)))> |
#<alt (/ x (* y (+ 1 x)))> |
#<alt (/ x (* y (+ 1 x)))> |
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))> |
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))> |
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))> |
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))> |
#<alt y> |
#<alt (+ y (* x y))> |
#<alt (+ y (* x y))> |
#<alt (+ y (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* -1 (* y (- (* -1 x) 1)))> |
#<alt (* -1 (* y (- (* -1 x) 1)))> |
#<alt (* -1 (* y (- (* -1 x) 1)))> |
#<alt (* -1 (* y (- (* -1 x) 1)))> |
#<alt x> |
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))> |
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))> |
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))> |
#<alt (/ x y)> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ x (+ 1 x))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (/ x (+ 1 x))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<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 (* y (+ 1 x)))> |
#<alt (/ 1 (* y (+ 1 x)))> |
#<alt (/ 1 (* y (+ 1 x)))> |
#<alt (/ 1 (* y (+ 1 x)))> |
#<alt (/ 1 (* y (+ 1 x)))> |
#<alt (/ 1 (* y (+ 1 x)))> |
#<alt (/ 1 (* y (+ 1 x)))> |
#<alt (/ 1 (* y (+ 1 x)))> |
#<alt (/ 1 (* y (+ 1 x)))> |
#<alt (/ 1 (* y (+ 1 x)))> |
#<alt (/ 1 (* y (+ 1 x)))> |
#<alt (/ 1 (* y (+ 1 x)))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ (- (/ 1 y) (/ 1 (* x y))) x)> |
#<alt (/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) x)> |
#<alt (/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) x)> |
#<alt (/ 1 (* x y))> |
#<alt (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)) x))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (* x (/ x (+ (* x y) y))) |
| 1.0ms | y | @ | 0 | (* x (/ x (+ (* x y) y))) |
| 0.0ms | y | @ | -inf | (/ x (+ (* x y) y)) |
| 0.0ms | y | @ | 0 | (/ x (+ (* x y) y)) |
| 0.0ms | y | @ | 0 | (/ 1 (* y (+ x 1))) |
| 1× | batch-egg-rewrite |
| 5 952× | lower-*.f32 |
| 5 942× | lower-*.f64 |
| 5 152× | lower-/.f32 |
| 5 144× | lower-/.f64 |
| 5 132× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 73 |
| 0 | 28 | 67 |
| 1 | 124 | 65 |
| 2 | 757 | 65 |
| 0 | 8289 | 65 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 y (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
(*.f64 x (+.f64 x y)) |
(+.f64 x y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 x (fma.f64 x y y)) |
(fma.f64 x y y) |
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64))))) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(+.f64 y (*.f64 y x)) |
(+.f64 y (neg.f64 (*.f64 y (neg.f64 x)))) |
(+.f64 (*.f64 y x) y) |
(+.f64 (*.f64 (*.f64 y (*.f64 y x)) (/.f64 x (fma.f64 y x (neg.f64 y)))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 y x (neg.f64 y))))) |
(+.f64 (neg.f64 (*.f64 y (neg.f64 x))) y) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 y x y)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y x y))) |
(-.f64 (*.f64 (*.f64 y (*.f64 y x)) (/.f64 x (fma.f64 y x (neg.f64 y)))) (/.f64 (*.f64 y y) (fma.f64 y x (neg.f64 y)))) |
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y x)) (/.f64 x (fma.f64 y x (neg.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (fma.f64 y x (neg.f64 y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 y x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 y (*.f64 y x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 y x y) |
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(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) |
(*.f64 (fma.f64 y x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 x x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x y)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (fma.f64 y x y) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 y x y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 y x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 y x y) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y x) (fma.f64 y x (neg.f64 y)) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x (neg.f64 y)) (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (neg.f64 y)) (*.f64 y y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 y x (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) y)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) y)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (neg.f64 y)) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 y (neg.f64 x) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x y) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 y x y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (neg.f64 y)) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 y (fma.f64 x x #s(literal -1 binary64)))))) (fma.f64 y (neg.f64 x) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y (*.f64 y (*.f64 x x))))) (-.f64 y (*.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 x x)) y)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 y x (neg.f64 y)) (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 x x) y))))) |
(*.f64 (/.f64 (fma.f64 y x (neg.f64 y)) (*.f64 (*.f64 y (fma.f64 y (*.f64 x x) y)) (*.f64 y (*.f64 y (fma.f64 x x #s(literal -1 binary64)))))) (*.f64 y (fma.f64 y (*.f64 x x) y))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (neg.f64 y)) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (neg.f64 y)) (*.f64 y y)) (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (neg.f64 y)) y))) |
| 1× | egg-herbie |
| 9 310× | lower-fma.f64 |
| 9 310× | lower-fma.f32 |
| 3 280× | lower-*.f64 |
| 3 280× | lower-*.f32 |
| 3 042× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 2086 |
| 1 | 503 | 2022 |
| 2 | 1389 | 1869 |
| 3 | 5070 | 1822 |
| 0 | 8778 | 1700 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* x y) |
(* x (+ x y)) |
(* x (+ x y)) |
(* x (+ x y)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(pow x 2) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(* x y) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(/ x y) |
(* x (+ (* -1 (/ x y)) (/ 1 y))) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
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 (* y (+ 1 x))) |
(/ 1 (* y (+ 1 x))) |
(/ 1 (* y (+ 1 x))) |
(/ 1 (* y (+ 1 x))) |
(/ 1 (* y (+ 1 x))) |
(/ 1 (* y (+ 1 x))) |
(/ 1 (* y (+ 1 x))) |
(/ 1 (* y (+ 1 x))) |
(/ 1 (* y (+ 1 x))) |
(/ 1 (* y (+ 1 x))) |
(/ 1 (* y (+ 1 x))) |
(/ 1 (* y (+ 1 x))) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)) |
(+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)) |
(/ 1 (* x y)) |
(/ (- (/ 1 y) (/ 1 (* x y))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) x) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)) x)) |
| Outputs |
|---|
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
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(fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))) x) (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(fma.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) x)) x) (/.f64 x y)) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(/ 1 (* y (+ 1 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(/ 1 (* y (+ 1 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(/ 1 (* y (+ 1 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(/ 1 (* y (+ 1 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(/ 1 (* y (+ 1 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(/ 1 (* y (+ 1 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(/ 1 (* y (+ 1 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(/ 1 (* y (+ 1 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(/ 1 (* y (+ 1 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(/ 1 (* y (+ 1 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(/ 1 (* y (+ 1 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(/ 1 (* y (+ 1 x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) |
(+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) |
(+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ (- (/ 1 y) (/ 1 (* x y))) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 x #s(literal 1 binary64))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))) x) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 x #s(literal 1 binary64))) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x)))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))) x) |
Compiled 51 475 to 3 777 computations (92.7% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 325 | 7 | 2 332 |
| Fresh | 4 | 6 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 332 | 16 | 2 348 |
| Status | Accuracy | Program |
|---|---|---|
| 59.6% | (fma.f64 x (-.f64 (/.f64 x y) x) x) | |
| 16.5% | (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 49.8% | (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x x) (+.f64 x #s(literal 1 binary64))) | |
| 35.6% | (/.f64 (+.f64 x #s(literal -1 binary64)) y) | |
| ▶ | 77.5% | (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
| 53.5% | (/.f64 (*.f64 x (+.f64 x y)) (*.f64 y #s(literal 1 binary64))) | |
| ▶ | 17.9% | (/.f64 (*.f64 x x) y) |
| ▶ | 41.7% | (/.f64 x (/.f64 (fma.f64 y x y) x)) |
| ▶ | 55.7% | (/.f64 x (+.f64 x #s(literal 1 binary64))) |
| ✓ | 36.3% | (/.f64 x y) |
| 48.0% | (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) | |
| ▶ | 53.4% | (*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 41.6% | (*.f64 x (/.f64 x (fma.f64 x y y))) |
| 20.2% | (*.f64 x (/.f64 x y)) | |
| 41.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) x)) | |
| ✓ | 15.6% | #s(literal 1 binary64) |
Compiled 274 to 171 computations (37.6% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 y x y) |
| ✓ | cost-diff | 192 | (/.f64 (fma.f64 y x y) x) |
| ✓ | cost-diff | 192 | (/.f64 x (/.f64 (fma.f64 y x y) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 x y)) |
| ✓ | cost-diff | 448 | (*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x x) y) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y x y) |
| ✓ | cost-diff | 0 | (+.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 y x)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
| 22 200× | lower-fma.f32 |
| 22 198× | lower-fma.f64 |
| 7 414× | lower-*.f32 |
| 7 408× | lower-*.f64 |
| 2 224× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 87 |
| 0 | 32 | 87 |
| 1 | 56 | 85 |
| 2 | 85 | 85 |
| 3 | 163 | 85 |
| 4 | 335 | 85 |
| 5 | 868 | 85 |
| 6 | 2406 | 82 |
| 7 | 3080 | 82 |
| 8 | 3829 | 82 |
| 9 | 3983 | 82 |
| 10 | 4223 | 82 |
| 11 | 4597 | 82 |
| 12 | 5073 | 82 |
| 13 | 5624 | 82 |
| 14 | 7305 | 82 |
| 15 | 7550 | 82 |
| 16 | 7638 | 82 |
| 17 | 7758 | 82 |
| 18 | 7866 | 82 |
| 0 | 8465 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
(*.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(fma.f64 y x y) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
x |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 x y)) |
x |
(+.f64 x y) |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(/.f64 x (/.f64 (fma.f64 y x y) x)) |
x |
(/.f64 (fma.f64 y x y) x) |
(fma.f64 y x y) |
y |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
(/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y)) |
(*.f64 x (+.f64 y x)) |
(*.f64 x (+.f64 x y)) |
x |
(+.f64 y x) |
(+.f64 x y) |
y |
(fma.f64 y x y) |
(fma.f64 x y y) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
x |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x x) y) |
(*.f64 x (/.f64 x y)) |
(*.f64 x x) |
x |
y |
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 x (/.f64 x y) x) |
(*.f64 x (+.f64 x y)) |
x |
(+.f64 x y) |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(/.f64 x (/.f64 (fma.f64 y x y) x)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
x |
(/.f64 (fma.f64 y x y) x) |
(+.f64 y (/.f64 y x)) |
(fma.f64 y x y) |
(fma.f64 x y y) |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 y x y) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 (fma.f64 y x y) x)) |
| ✓ | accuracy | 89.3% | (/.f64 (fma.f64 y x y) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 x y)) |
| ✓ | accuracy | 84.8% | (*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 87.8% | (/.f64 (*.f64 x x) y) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 y x y) |
| ✓ | accuracy | 100.0% | (+.f64 y x) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 y x)) |
| ✓ | accuracy | 77.8% | (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
| 39.0ms | 256× | 0 | valid |
Compiled 89 to 20 computations (77.5% saved)
ival-div: 10.0ms (42.1% of total)ival-mult: 8.0ms (33.7% of total)ival-add: 5.0ms (21.1% 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 (*.f64 x (+.f64 y x)) (fma.f64 y x y))> |
#<alt (*.f64 x (+.f64 y x))> |
#<alt (+.f64 y x)> |
#<alt (fma.f64 y x y)> |
#<alt (/.f64 x (+.f64 x #s(literal 1 binary64)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (/.f64 (*.f64 x x) y)> |
#<alt (*.f64 x x)> |
#<alt (*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 x y))> |
#<alt (+.f64 x y)> |
#<alt (/.f64 #s(literal 1 binary64) y)> |
#<alt (/.f64 x (/.f64 (fma.f64 y x y) x))> |
#<alt (/.f64 (fma.f64 y x y) x)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))> |
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))> |
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))> |
#<alt (/ x y)> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)> |
#<alt (/ x (+ 1 x))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))> |
#<alt (* -1 (/ x (- (* -1 x) 1)))> |
#<alt (+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))> |
#<alt (+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))> |
#<alt (+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))> |
#<alt (* x y)> |
#<alt (* x (+ x y))> |
#<alt (* x (+ x y))> |
#<alt (* x (+ x y))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (pow x 2)> |
#<alt (+ (* x y) (pow x 2))> |
#<alt (+ (* x y) (pow x 2))> |
#<alt (+ (* x y) (pow x 2))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ (pow x 2) y)))> |
#<alt (* y (+ x (/ (pow x 2) y)))> |
#<alt (* y (+ x (/ (pow x 2) y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* -1 (* y (- (* -1 x) 1)))> |
#<alt (* -1 (* y (- (* -1 x) 1)))> |
#<alt (* -1 (* y (- (* -1 x) 1)))> |
#<alt (* -1 (* y (- (* -1 x) 1)))> |
#<alt y> |
#<alt (+ y (* x y))> |
#<alt (+ y (* x y))> |
#<alt (+ y (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 x)))> |
#<alt (* x (+ 1 (* x (- x 1))))> |
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))> |
#<alt 1> |
#<alt (- 1 (/ 1 x))> |
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))> |
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))> |
#<alt 1> |
#<alt (- 1 (/ 1 x))> |
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))> |
#<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 (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (pow x 2) y)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (* x (+ 1 (/ x y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ (pow x 2) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt (/ (+ (* x y) (pow x 2)) y)> |
#<alt x> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt x> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (+ x (/ (pow x 2) y))> |
#<alt (* x y)> |
#<alt (* x (+ x y))> |
#<alt (* x (+ x y))> |
#<alt (* x (+ x y))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (* (pow x 2) (+ 1 (/ y x)))> |
#<alt (pow x 2)> |
#<alt (+ (* x y) (pow x 2))> |
#<alt (+ (* x y) (pow x 2))> |
#<alt (+ (* x y) (pow x 2))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ (pow x 2) y)))> |
#<alt (* y (+ x (/ (pow x 2) y)))> |
#<alt (* y (+ x (/ (pow x 2) y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ (pow x 2) y)> |
#<alt (* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))> |
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))> |
#<alt (/ x y)> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (/ (pow x 2) (* y (+ 1 x)))> |
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))> |
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))> |
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))> |
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))> |
#<alt (/ (* y (+ 1 x)) x)> |
#<alt (/ (* y (+ 1 x)) x)> |
#<alt (/ (* y (+ 1 x)) x)> |
#<alt (/ (* y (+ 1 x)) x)> |
#<alt (/ (* y (+ 1 x)) x)> |
#<alt (/ (* y (+ 1 x)) x)> |
#<alt (/ (* y (+ 1 x)) x)> |
#<alt (/ (* y (+ 1 x)) x)> |
#<alt (* -1 (/ (* y (- (* -1 x) 1)) x))> |
#<alt (* -1 (/ (* y (- (* -1 x) 1)) x))> |
#<alt (* -1 (/ (* y (- (* -1 x) 1)) x))> |
#<alt (* -1 (/ (* y (- (* -1 x) 1)) x))> |
#<alt (/ y x)> |
#<alt (/ (+ y (* x y)) x)> |
#<alt (/ (+ y (* x y)) x)> |
#<alt (/ (+ y (* x y)) x)> |
#<alt y> |
#<alt (+ y (/ y x))> |
#<alt (+ y (/ y x))> |
#<alt (+ y (/ y x))> |
#<alt y> |
#<alt (+ y (/ y x))> |
#<alt (+ y (/ y x))> |
#<alt (+ y (/ y x))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/ (* x (+ y x)) (+ (* y x) y)) |
| 0.0ms | y | @ | 0 | (/ (+ (* y x) y) x) |
| 0.0ms | y | @ | -inf | (/ (+ (* y x) y) x) |
| 0.0ms | x | @ | -inf | (/ (+ (* y x) y) x) |
| 0.0ms | x | @ | 0 | (/ x (+ x 1)) |
| 1× | batch-egg-rewrite |
| 5 624× | lower-fma.f32 |
| 5 622× | lower-fma.f64 |
| 5 566× | lower-*.f32 |
| 5 560× | lower-*.f64 |
| 4 946× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 72 |
| 0 | 32 | 70 |
| 1 | 138 | 70 |
| 2 | 864 | 70 |
| 0 | 8603 | 70 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
(*.f64 x (+.f64 y x)) |
(+.f64 y x) |
(fma.f64 y x y) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 x y)) |
(+.f64 x y) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 x (/.f64 (fma.f64 y x y) x)) |
(/.f64 (fma.f64 y x y) x) |
| Outputs |
|---|
(+.f64 (*.f64 x (/.f64 x (fma.f64 x y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(+.f64 (*.f64 x (/.f64 x (fma.f64 x y y))) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y)) (*.f64 x (/.f64 x (fma.f64 x y y)))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y (*.f64 x y))))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y (*.f64 x y)))) (*.f64 (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x (*.f64 y y))))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y))) (*.f64 x y)) (*.f64 (/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y))) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y))) (*.f64 x (/.f64 x (fma.f64 x y y)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y (*.f64 x y))) (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y (*.f64 x y))) (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (*.f64 x y) (/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y)))) (*.f64 (neg.f64 y) (/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x y y) (*.f64 x (+.f64 x y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 x y)) (neg.f64 (fma.f64 x y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x y y))) (/.f64 (*.f64 x (+.f64 x y)) (neg.f64 (fma.f64 x y y)))) |
(fma.f64 x (/.f64 x (fma.f64 x y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 x (/.f64 x (fma.f64 x y y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (fma.f64 x y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (fma.f64 x y y))) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (*.f64 x (/.f64 x (fma.f64 x y y))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (*.f64 x (/.f64 x (fma.f64 x y y))) #s(literal 1 binary64) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x (/.f64 x (fma.f64 x y y)))) |
(fma.f64 (*.f64 x y) (/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y))) (*.f64 (neg.f64 y) (/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (fma.f64 x y y)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (fma.f64 x y y)))) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 x (fma.f64 x y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 x (fma.f64 x y y))) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 y y))) (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 y (*.f64 x y))) (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (*.f64 y (-.f64 y (*.f64 x y))) (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (/.f64 x (fma.f64 x y y)) x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (/.f64 x (fma.f64 x y y)) x (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (/.f64 x (fma.f64 x y y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (/.f64 x (fma.f64 x y y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x x) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y) (*.f64 x (/.f64 x (fma.f64 x y y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (neg.f64 (/.f64 x (fma.f64 x y y))) (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (neg.f64 (/.f64 x (fma.f64 x y y))) (neg.f64 x) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (neg.f64 (/.f64 x (fma.f64 x y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (neg.f64 (/.f64 x (fma.f64 x y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y y)) (*.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y y)) (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y y)) (/.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y y)) (/.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y (*.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y (*.f64 x y))) (*.f64 (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x (*.f64 y y))))) |
(fma.f64 (/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y))) (*.f64 x y) (*.f64 (/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y))) (neg.f64 y))) |
(fma.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y)))) x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y)))) x) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
(fma.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 x y))) |
(fma.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y)))))) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (fma.f64 y y (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) y))) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y)) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 x y) y) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y y))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y))))) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x y y) (fma.f64 y (neg.f64 x) y)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (neg.f64 x) y) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 y (-.f64 y (*.f64 x (*.f64 x y)))) #s(literal -1 binary64)) (*.f64 (-.f64 y (*.f64 x y)) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y)))) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 x (fma.f64 y y (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) (*.f64 x (neg.f64 (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y y) (fma.f64 y (neg.f64 x) y))) (*.f64 x (fma.f64 y (neg.f64 x) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y (*.f64 x (*.f64 x y))))) (*.f64 x (-.f64 y (*.f64 x y)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) (*.f64 (neg.f64 x) (neg.f64 (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y))))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y y) (fma.f64 y (neg.f64 x) y))) (*.f64 (neg.f64 x) (fma.f64 y (neg.f64 x) y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (neg.f64 x) (-.f64 y (*.f64 x y)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (neg.f64 (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y)))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y)) x)) (fma.f64 y (neg.f64 x) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 y y (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) y)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y))) (-.f64 (*.f64 x y) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y)) x)) (-.f64 (*.f64 x y) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x y y) (fma.f64 y (neg.f64 x) y))) (fma.f64 y (neg.f64 x) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 y (*.f64 x (*.f64 x y))))) (-.f64 y (*.f64 x y))) |
(pow.f64 (/.f64 (fma.f64 x y y) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (fma.f64 x y y)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x y y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) x)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 (fma.f64 x y y) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 x y y) x) (/.f64 (-.f64 (*.f64 x y) y) (-.f64 (*.f64 x y) y))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y y) x))) |
(*.f64 (neg.f64 (fma.f64 x y y)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y))))))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y)))) x))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y))))) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x y y)) |
(*.f64 (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x y) y)))) |
(*.f64 (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x y) y) x))) |
(*.f64 (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) y)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y)) x) (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) y))) |
(*.f64 (/.f64 (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y)) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y)))))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y y))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y))))) x)) |
(*.f64 (/.f64 (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) y)) x)) |
(*.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y)))) x) (/.f64 (fma.f64 x y y) (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y)))))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 x y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (fma.f64 x y y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) y) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x y) (-.f64 y (*.f64 x y)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 x (*.f64 x y)) y))) (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) y))) |
| 1× | egg-herbie |
| 12 938× | lower-fma.f64 |
| 12 938× | lower-fma.f32 |
| 4 696× | lower-*.f64 |
| 4 696× | lower-*.f32 |
| 2 810× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 1832 |
| 1 | 548 | 1801 |
| 2 | 1482 | 1656 |
| 3 | 6658 | 1644 |
| 0 | 8127 | 1555 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* -1 (/ x (- (* -1 x) 1))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
(* x y) |
(* x (+ x y)) |
(* x (+ x y)) |
(* x (+ x y)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(pow x 2) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(* x y) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
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))) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(/ (pow x 2) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(* x y) |
(* x (+ x y)) |
(* x (+ x y)) |
(* x (+ x y)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(pow x 2) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(* x y) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(* -1 (/ (* y (- (* -1 x) 1)) x)) |
(* -1 (/ (* y (- (* -1 x) 1)) x)) |
(* -1 (/ (* y (- (* -1 x) 1)) x)) |
(* -1 (/ (* y (- (* -1 x) 1)) x)) |
(/ y x) |
(/ (+ y (* x y)) x) |
(/ (+ y (* x y)) x) |
(/ (+ y (* x y)) x) |
y |
(+ y (/ y x)) |
(+ y (/ y x)) |
(+ y (/ y x)) |
y |
(+ y (/ y x)) |
(+ y (/ y x)) |
(+ y (/ y x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
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(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 (/.f64 x y) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))) x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (* y (+ 1 x)) x) |
(+.f64 y (/.f64 y x)) |
(/ (* y (+ 1 x)) x) |
(+.f64 y (/.f64 y x)) |
(/ (* y (+ 1 x)) x) |
(+.f64 y (/.f64 y x)) |
(/ (* y (+ 1 x)) x) |
(+.f64 y (/.f64 y x)) |
(/ (* y (+ 1 x)) x) |
(+.f64 y (/.f64 y x)) |
(/ (* y (+ 1 x)) x) |
(+.f64 y (/.f64 y x)) |
(/ (* y (+ 1 x)) x) |
(+.f64 y (/.f64 y x)) |
(/ (* y (+ 1 x)) x) |
(+.f64 y (/.f64 y x)) |
(* -1 (/ (* y (- (* -1 x) 1)) x)) |
(+.f64 y (/.f64 y x)) |
(* -1 (/ (* y (- (* -1 x) 1)) x)) |
(+.f64 y (/.f64 y x)) |
(* -1 (/ (* y (- (* -1 x) 1)) x)) |
(+.f64 y (/.f64 y x)) |
(* -1 (/ (* y (- (* -1 x) 1)) x)) |
(+.f64 y (/.f64 y x)) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* x y)) x) |
(+.f64 y (/.f64 y x)) |
(/ (+ y (* x y)) x) |
(+.f64 y (/.f64 y x)) |
(/ (+ y (* x y)) x) |
(+.f64 y (/.f64 y x)) |
y |
(+ y (/ y x)) |
(+.f64 y (/.f64 y x)) |
(+ y (/ y x)) |
(+.f64 y (/.f64 y x)) |
(+ y (/ y x)) |
(+.f64 y (/.f64 y x)) |
y |
(+ y (/ y x)) |
(+.f64 y (/.f64 y x)) |
(+ y (/ y x)) |
(+.f64 y (/.f64 y x)) |
(+ y (/ y x)) |
(+.f64 y (/.f64 y x)) |
Compiled 31 447 to 2 971 computations (90.6% saved)
19 alts after pruning (14 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 610 | 11 | 1 621 |
| Fresh | 5 | 3 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 618 | 19 | 1 637 |
| Status | Accuracy | Program |
|---|---|---|
| 59.8% | (fma.f64 x (/.f64 x y) x) | |
| 45.8% | (fma.f64 x (-.f64 (*.f64 x x) x) x) | |
| 16.5% | (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 35.6% | (/.f64 (+.f64 x #s(literal -1 binary64)) y) | |
| 53.5% | (/.f64 (*.f64 x (+.f64 x y)) y) | |
| 46.2% | (/.f64 (*.f64 x y) (fma.f64 y x y)) | |
| ✓ | 17.9% | (/.f64 (*.f64 x x) y) |
| 20.2% | (/.f64 x (/.f64 y x)) | |
| ✓ | 55.7% | (/.f64 x (+.f64 x #s(literal 1 binary64))) |
| ✓ | 36.3% | (/.f64 x y) |
| 48.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y x))) | |
| 45.7% | (-.f64 x (*.f64 x x)) | |
| 48.0% | (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) | |
| 14.7% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) | |
| 20.2% | (*.f64 (/.f64 x y) x) | |
| 17.9% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x)) | |
| 20.2% | (*.f64 (neg.f64 x) (*.f64 x (/.f64 #s(literal -1 binary64) y))) | |
| ✓ | 41.6% | (*.f64 x (/.f64 x (fma.f64 x y y))) |
| ✓ | 15.6% | #s(literal 1 binary64) |
Compiled 534 to 193 computations (63.9% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(-.f64 x (*.f64 x x)) |
(/.f64 x y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(fma.f64 x (-.f64 (*.f64 x x) x) x) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 x y) x) |
(/.f64 (*.f64 x x) y) |
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x y) x) |
(/.f64 (*.f64 x (+.f64 x y)) y) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 x (/.f64 y x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(/.f64 (*.f64 x y) (fma.f64 y x y)) |
(*.f64 (neg.f64 x) (*.f64 x (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (+.f64 x y)) (*.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) x)) |
(/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
(/.f64 x (/.f64 (fma.f64 y x y) x)) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) x) |
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x) |
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y x))) |
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
3 calls:
| 13.0ms | x |
| 13.0ms | y |
| 11.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
| 88.6% | 1 | y |
| 99.9% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(-.f64 x (*.f64 x x)) |
(/.f64 x y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(fma.f64 x (-.f64 (*.f64 x x) x) x) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 x y) x) |
(/.f64 (*.f64 x x) y) |
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x y) x) |
(/.f64 (*.f64 x (+.f64 x y)) y) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 x (/.f64 y x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(/.f64 (*.f64 x y) (fma.f64 y x y)) |
(*.f64 (neg.f64 x) (*.f64 x (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (+.f64 x y)) (*.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) x)) |
(/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
(/.f64 x (/.f64 (fma.f64 y x y) x)) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) x) |
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x) |
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y x))) |
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(-.f64 x (*.f64 x x)) |
(/.f64 x y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(fma.f64 x (-.f64 (*.f64 x x) x) x) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 x y) x) |
(/.f64 (*.f64 x x) y) |
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x y) x) |
(/.f64 (*.f64 x (+.f64 x y)) y) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 x (/.f64 y x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(/.f64 (*.f64 x y) (fma.f64 y x y)) |
(*.f64 (neg.f64 x) (*.f64 x (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (+.f64 x y)) (*.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) x)) |
(/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
(/.f64 x (/.f64 (fma.f64 y x y) x)) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
2 calls:
| 12.0ms | x |
| 8.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 4 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 99.3% | 3 | x |
Compiled 16 to 10 computations (37.5% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(-.f64 x (*.f64 x x)) |
(/.f64 x y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(fma.f64 x (-.f64 (*.f64 x x) x) x) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 x y) x) |
(/.f64 (*.f64 x x) y) |
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x y) x) |
(/.f64 (*.f64 x (+.f64 x y)) y) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x y) x) |
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(-.f64 x (*.f64 x x)) |
(/.f64 x y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(fma.f64 x (-.f64 (*.f64 x x) x) x) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 x y) x) |
(/.f64 (*.f64 x x) y) |
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
3 calls:
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.8% | 3 | y |
| 88.5% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 88.7% | 3 | x |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(-.f64 x (*.f64 x x)) |
(/.f64 x y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(fma.f64 x (-.f64 (*.f64 x x) x) x) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 x y) x) |
(/.f64 (*.f64 x x) y) |
| Outputs |
|---|
(/.f64 x y) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
2 calls:
| 6.0ms | x |
| 4.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 79.0% | 3 | x |
Compiled 16 to 10 computations (37.5% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(-.f64 x (*.f64 x x)) |
(/.f64 x y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 x y) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(/.f64 x y) |
1 calls:
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(-.f64 x (*.f64 x x)) |
(/.f64 x y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
| Outputs |
|---|
(/.f64 x y) |
(-.f64 x (*.f64 x x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x y) |
1 calls:
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 4 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(-.f64 x (*.f64 x x)) |
(/.f64 x y) |
| Outputs |
|---|
(/.f64 x y) |
(-.f64 x (*.f64 x x)) |
#s(literal 1 binary64) |
(/.f64 x y) |
1 calls:
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 4 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(-.f64 x (*.f64 x x)) |
| Outputs |
|---|
(-.f64 x (*.f64 x x)) |
#s(literal 1 binary64) |
3 calls:
| 4.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.7% | 1 | y |
| 55.2% | 3 | x |
| 58.8% | 2 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 19 to 12 computations (36.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
3 calls:
| 1.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.6% | 1 | y |
| 15.6% | 1 | x |
| 15.6% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 19 to 12 computations (36.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 1349618600.4661014 | 42358653023.354034 |
| 15.0ms | -1.0592268521799642e+22 | -9623400684338988.0 |
| 58.0ms | 256× | 0 | valid |
Compiled 544 to 333 computations (38.8% saved)
ival-div: 49.0ms (92.7% of total)ival-add: 2.0ms (3.8% of total)ival-mult: 2.0ms (3.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 2152193626524098.0 | 1.265373848265709e+25 |
| 3.0ms | -4.1913336966023505e+24 | -1.1328219912662323e+23 |
| 4.0ms | 80× | 0 | valid |
Compiled 131 to 93 computations (29% saved)
ival-div: 1.0ms (42% of total)ival-add: 1.0ms (42% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 9.440493743683604e-7 | 3.316532497392983 |
| 44.0ms | -9623400684338988.0 | -3.797990058031971e-17 |
| 45.0ms | 320× | 0 | valid |
Compiled 436 to 293 computations (32.8% saved)
ival-div: 33.0ms (84.8% of total)ival-add: 3.0ms (7.7% of total)ival-mult: 2.0ms (5.1% of total)exact: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 9.440493743683604e-7 | 3.316532497392983 |
| 1.0ms | -9623400684338988.0 | -3.797990058031971e-17 |
| 2.0ms | 32× | 0 | valid |
Compiled 396 to 273 computations (31.1% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1349618600.4661014 | 42358653023.354034 |
| 14.0ms | -9623400684338988.0 | -3.797990058031971e-17 |
| 11.0ms | 208× | 0 | valid |
Compiled 340 to 265 computations (22.1% saved)
ival-div: 3.0ms (46.1% of total)ival-add: 2.0ms (30.7% of total)ival-mult: 1.0ms (15.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 59948533527.34378 | 40880394621754880.0 |
| 0.0ms | -8526399231965694.0 | -6.517847873761724e-44 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 10770620511.220503 | 59948533527.34378 |
| 0.0ms | -8526399231965694.0 | -6.517847873761724e-44 |
Compiled 16 to 13 computations (18.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 10770620511.220503 | 59948533527.34378 |
| 0.0ms | 9.440484831399804e-7 | 0.7683325677256083 |
| 0.0ms | -8526399231965694.0 | -6.517847873761724e-44 |
Compiled 16 to 13 computations (18.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 59948533527.34378 | 40880394621754880.0 |
| 0.0ms | 9.440484831399804e-7 | 0.7683325677256083 |
| 0.0ms | -8526399231965694.0 | -6.517847873761724e-44 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.440484831399804e-7 | 0.7683325677256083 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 18× | +-commutative_binary64 |
| 10× | *-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 372 |
| 1 | 88 | 372 |
| 2 | 95 | 372 |
| 3 | 99 | 372 |
| 4 | 101 | 372 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -10000000000000000 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 42000000000 binary64)) (/.f64 (*.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -499999999999999991611392 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 4000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5/4 binary64)) (fma.f64 x (/.f64 x y) x) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -3700 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1350000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 100000000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 20000000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 20000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 100000000000 binary64)) #s(literal 1 binary64) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (-.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -10000000000000000 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 42000000000 binary64)) (/.f64 (*.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -499999999999999991611392 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 4000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5/4 binary64)) (fma.f64 x (/.f64 x y) x) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -3700 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1350000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 100000000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 100000000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 20000000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 20000000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 20000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 20000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 100000000000 binary64)) #s(literal 1 binary64) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 100000000000 binary64)) #s(literal 1 binary64) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (-.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (-.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 21 530× | lower-fma.f64 |
| 21 530× | lower-fma.f32 |
| 13 280× | lower-fma.f64 |
| 13 280× | lower-fma.f32 |
| 12 938× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 1832 |
| 1 | 548 | 1801 |
| 2 | 1482 | 1656 |
| 3 | 6658 | 1644 |
| 0 | 8127 | 1555 |
| 0 | 90 | 745 |
| 1 | 250 | 724 |
| 2 | 660 | 648 |
| 3 | 3422 | 635 |
| 0 | 9168 | 612 |
| 0 | 8 | 29 |
| 0 | 13 | 29 |
| 1 | 62 | 29 |
| 2 | 454 | 29 |
| 3 | 7068 | 29 |
| 0 | 8044 | 27 |
| 0 | 20 | 96 |
| 0 | 38 | 86 |
| 1 | 181 | 85 |
| 2 | 1368 | 85 |
| 0 | 8289 | 85 |
| 0 | 143 | 2382 |
| 1 | 433 | 2301 |
| 2 | 1189 | 1956 |
| 3 | 5408 | 1950 |
| 0 | 8496 | 1869 |
| 0 | 164 | 2086 |
| 1 | 503 | 2022 |
| 2 | 1389 | 1869 |
| 3 | 5070 | 1822 |
| 0 | 8778 | 1700 |
| 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 |
| 1× | node limit |
Compiled 693 to 290 computations (58.2% saved)
Compiled 804 to 176 computations (78.1% saved)
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