
Time bar (total: 3.9s)
| 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 9 to 8 computations (11.1% saved)
| 424.0ms | 8 256× | 0 | valid |
ival-div: 78.0ms (36.3% of total)ival-mult: 65.0ms (30.3% of total)ival-add: 59.0ms (27.5% of total)ival-true: 5.0ms (2.3% of total)exact: 5.0ms (2.3% of total)ival-assert: 3.0ms (1.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 0 | - | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 100 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | #s(literal 100 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) | o/n | 2 | 0 |
| ↳ | (*.f64 x #s(literal 100 binary64)) | overflow | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 0 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 0 | 0 | 254 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 512× | 0 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-add: 18.0ms (60.2% of total)ival-mult: 7.0ms (23.4% of total)ival-div: 3.0ms (10% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 344× | times-frac |
| 280× | associate-*l* |
| 248× | associate-*r* |
| 168× | unsub-neg |
| 138× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 45 |
| 1 | 47 | 35 |
| 2 | 115 | 35 |
| 3 | 267 | 35 |
| 4 | 700 | 35 |
| 5 | 1152 | 35 |
| 6 | 1508 | 35 |
| 7 | 1542 | 35 |
| 8 | 1590 | 35 |
| 9 | 1622 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 13 | 7 |
| 2 | 16 | 7 |
| 3 | 17 | 7 |
| 0 | 17 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.9% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 x #s(literal 100 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 12× | lower-*.f32 |
| 10× | lower-*.f64 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 4× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 13 | 16 |
| 2 | 16 | 16 |
| 3 | 17 | 16 |
| 0 | 17 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(*.f64 x #s(literal 100 binary64)) |
x |
#s(literal 100 binary64) |
(+.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
(*.f64 x #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) x) |
x |
#s(literal 100 binary64) |
(+.f64 x y) |
(+.f64 y x) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (*.f64 x #s(literal 100 binary64)) | |
| accuracy | 0.6757087848343775 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 37.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-div: 2.0ms (38.9% of total)ival-mult: 2.0ms (38.9% of total)ival-add: 1.0ms (19.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 100 (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (* x 100) (+ x y)) (* x 100) (+ x y)) |
| 1.0ms | x | @ | 0 | ((/ (* x 100) (+ x y)) (* x 100) (+ x y)) |
| 1.0ms | x | @ | inf | ((/ (* x 100) (+ x y)) (* x 100) (+ x y)) |
| 1.0ms | y | @ | inf | ((/ (* x 100) (+ x y)) (* x 100) (+ x y)) |
| 0.0ms | y | @ | -inf | ((/ (* x 100) (+ x y)) (* x 100) (+ x y)) |
| 1× | egg-herbie |
| 15 982× | lower-fma.f64 |
| 15 982× | lower-fma.f32 |
| 4 158× | lower-*.f64 |
| 4 158× | lower-*.f32 |
| 2 414× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 445 |
| 1 | 400 | 440 |
| 2 | 985 | 420 |
| 3 | 3160 | 406 |
| 4 | 7109 | 406 |
| 0 | 8148 | 375 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) y) y) y) #s(literal 100 binary64)) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (*.f64 x #s(literal 100 binary64))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -100 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (*.f64 x #s(literal 100 binary64)))) y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64))) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (fma.f64 x #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64))) y)) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (fma.f64 x #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal -100 binary64)) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal -100 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 100 binary64))) y)) y)) 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) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (/.f64 #s(literal 100 binary64) y)) x) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -100 binary64) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) x) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) y) y) y) #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) y) y) y) #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
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) |
| 4 492× | lower-/.f32 |
| 4 490× | lower-/.f64 |
| 3 630× | lower-*.f32 |
| 3 628× | lower-*.f64 |
| 3 278× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 34 | 13 |
| 2 | 218 | 13 |
| 3 | 2144 | 13 |
| 0 | 8195 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(*.f64 x #s(literal 100 binary64)) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 #s(literal 100 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) #s(literal -100 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 100 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 100 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) (+.f64 y x))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -100 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y)))) (-.f64 x y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -100 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 100 binary64) (+.f64 y x))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) (+.f64 y x))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 100 binary64) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 100 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/100 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 #s(literal 100 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 x (-.f64 x y)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (*.f64 #s(literal 100 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/100 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 #s(literal 100 binary64) x))) |
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (-.f64 x y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 x y) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (-.f64 x y)) (/.f64 x (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 (neg.f64 x) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y x)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -100 binary64) (+.f64 y x))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 #s(literal 100 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (pow.f64 (pow.f64 (*.f64 #s(literal -100 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (*.f64 #s(literal -100 binary64) x)) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal 100 binary64) (*.f64 x (-.f64 x y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/100 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/100 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 #s(literal 100 binary64) x)) |
(*.f64 #s(literal -100 binary64) (pow.f64 (/.f64 (neg.f64 (+.f64 y x)) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 x) (+.f64 y x))) |
(*.f64 #s(literal -100 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 y x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x)))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) |
(*.f64 (-.f64 x y) (*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))) |
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (*.f64 #s(literal -100 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(*.f64 (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y x)))) |
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 y x))) |
(*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 y x))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 #s(literal 0 binary64) (+.f64 y x)) (fma.f64 (*.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x))) (*.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x))) (*.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (*.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x))))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 (neg.f64 y) y))) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) #s(literal 1 binary64))) (*.f64 (-.f64 x y) (/.f64 (-.f64 x y) (*.f64 y y)))) |
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) y)) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 y y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal 1 binary64) (-.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (neg.f64 (neg.f64 (-.f64 x y))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (+.f64 y x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))) (/.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x y) (*.f64 y y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (-.f64 y x))) (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 y x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (+.f64 y x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (neg.f64 (neg.f64 (-.f64 x y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 x y))))) |
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (*.f64 y y) (neg.f64 (neg.f64 (-.f64 x y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (-.f64 x y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 x y))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 8 511 to 1 130 computations (86.7% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 372 | 5 | 377 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 372 | 6 | 378 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.9% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ▶ | 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) |
| ▶ | 99.8% | (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
| ▶ | 47.9% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) |
| ▶ | 52.9% | #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
| ▶ | 48.3% | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
Compiled 69 to 68 computations (1.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 (+.f64 y x) x) | |
| cost-diff | 128 | (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) | |
| cost-diff | 576 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) | |
| cost-diff | 0 | (/.f64 #s(literal -100 binary64) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 100 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 100 binary64) y) x) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
| 208× | lower-*.f32 |
| 202× | lower-*.f64 |
| 130× | lower-/.f32 |
| 120× | lower-/.f64 |
| 102× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 107 |
| 0 | 33 | 105 |
| 1 | 53 | 105 |
| 2 | 74 | 105 |
| 3 | 85 | 105 |
| 4 | 97 | 105 |
| 5 | 170 | 105 |
| 6 | 204 | 105 |
| 7 | 237 | 105 |
| 8 | 293 | 105 |
| 9 | 340 | 105 |
| 10 | 377 | 105 |
| 11 | 401 | 105 |
| 12 | 412 | 105 |
| 0 | 412 | 104 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
#s(literal 100 binary64) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(literal 100 binary64) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/.f64 #s(literal 100 binary64) y) |
#s(literal 100 binary64) |
y |
x |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(/.f64 #s(literal -100 binary64) x) |
#s(literal -100 binary64) |
x |
y |
#s(literal 100 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) |
#s(literal 1/100 binary64) |
(/.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
x |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
#s(literal 100 binary64) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(literal 100 binary64) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/.f64 #s(literal 100 binary64) y) |
#s(literal 100 binary64) |
y |
x |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(/.f64 #s(literal -100 binary64) x) |
#s(literal -100 binary64) |
x |
y |
#s(literal 100 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
#s(literal 1/100 binary64) |
(/.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
x |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 y x) x) | |
| accuracy | 0.21271268839850518 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) | |
| accuracy | 0.5020048965040926 | (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) | |
| accuracy | 0 | (/.f64 #s(literal -100 binary64) x) | |
| accuracy | 0.34074620109256337 | (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) | |
| accuracy | 33.36027453121895 | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 100 binary64) y) | |
| accuracy | 0.171875 | (*.f64 (/.f64 #s(literal 100 binary64) y) x) | |
| accuracy | 30.116561806741256 | #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) | |
| accuracy | 33.07599131405117 | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.01171875 | (/.f64 x (+.f64 y x)) | |
| accuracy | 0.1509525632413075 | (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
| 142.0ms | 256× | 0 | valid |
Compiled 95 to 22 computations (76.8% saved)
ival-mult: 110.0ms (85.9% of total)ival-div: 10.0ms (7.8% of total)ival-add: 4.0ms (3.1% of total)const: 4.0ms (3.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 100 binary64) y) (patch (/.f64 #s(literal 100 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -100 binary64) x) (patch (/.f64 #s(literal -100 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) (patch (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 100 (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 100 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) y) (patch (/.f64 #s(literal 100 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 100 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) y) (patch (/.f64 #s(literal 100 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 100 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) y) (patch (/.f64 #s(literal 100 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 100 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) y) (patch (/.f64 #s(literal 100 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) #<representation binary64>) () ())) ()) |
#s(alt 1/100 (taylor 0 y) (#s(alt (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) (patch (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/100 (* 1/100 (/ y x))) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) (patch (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/100 (* 1/100 (/ y x))) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) (patch (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/100 (* 1/100 (/ y x))) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) (patch (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((* (/ x (+ y x)) 100) (/ x (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (/ 1 (* 1/100 (/ (+ y x) x))) (* 1/100 (/ (+ y x) x)) (/ (+ y x) x)) |
| 2.0ms | y | @ | 0 | ((* (/ x (+ y x)) 100) (/ x (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (/ 1 (* 1/100 (/ (+ y x) x))) (* 1/100 (/ (+ y x) x)) (/ (+ y x) x)) |
| 2.0ms | x | @ | -inf | ((* (/ x (+ y x)) 100) (/ x (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (/ 1 (* 1/100 (/ (+ y x) x))) (* 1/100 (/ (+ y x) x)) (/ (+ y x) x)) |
| 2.0ms | y | @ | inf | ((* (/ x (+ y x)) 100) (/ x (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (/ 1 (* 1/100 (/ (+ y x) x))) (* 1/100 (/ (+ y x) x)) (/ (+ y x) x)) |
| 2.0ms | x | @ | inf | ((* (/ x (+ y x)) 100) (/ x (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (/ 1 (* 1/100 (/ (+ y x) x))) (* 1/100 (/ (+ y x) x)) (/ (+ y x) x)) |
| 1× | egg-herbie |
| 10 856× | lower-fma.f64 |
| 10 856× | lower-fma.f32 |
| 4 130× | lower-*.f64 |
| 4 130× | lower-*.f32 |
| 2 168× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 242 | 2693 |
| 1 | 740 | 2650 |
| 2 | 1832 | 2516 |
| 3 | 6320 | 2514 |
| 0 | 8408 | 2348 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
1/100 |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
1 |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* -100 (/ y x)) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 1/100 (/ y x)) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(/ y x) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* -100 (/ y x)) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 1/100 (/ y x)) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(/ y x) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* -100 (/ y x)) |
(/ (+ (* -100 y) (* 100 x)) x) |
(/ (+ (* -100 y) (* 100 x)) x) |
(/ (+ (* -100 y) (* 100 x)) x) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* 1/100 (/ y x)) |
(/ (+ (* 1/100 x) (* 1/100 y)) x) |
(/ (+ (* 1/100 x) (* 1/100 y)) x) |
(/ (+ (* 1/100 x) (* 1/100 y)) x) |
(/ y x) |
(/ (+ x y) x) |
(/ (+ x y) x) |
(/ (+ x y) x) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
1/100 |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
1 |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
1/100 |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
1 |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
| Outputs |
|---|
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64)) |
1/100 |
#s(literal 1/100 binary64) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(-.f64 (/.f64 y x) #s(literal -1 binary64)) |
(+ 1 (/ y x)) |
(-.f64 (/.f64 y x) #s(literal -1 binary64)) |
(+ 1 (/ y x)) |
(-.f64 (/.f64 y x) #s(literal -1 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal -100 binary64) (*.f64 x #s(literal 100 binary64))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) y) (*.f64 x x) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) #s(literal 100 binary64))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x y) x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -100 binary64) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) #s(literal 100 binary64))) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal -100 binary64) (*.f64 x #s(literal 100 binary64))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) y) (*.f64 x x) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) #s(literal 100 binary64))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x y) x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -100 binary64) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) #s(literal 100 binary64))) y) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal -100 binary64) (*.f64 x #s(literal 100 binary64))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) y) (*.f64 x x) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) #s(literal 100 binary64))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x y) x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -100 binary64) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) #s(literal 100 binary64))) y) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
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(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(/ -100 x) |
(/.f64 #s(literal -100 binary64) x) |
(/ -100 x) |
(/.f64 #s(literal -100 binary64) x) |
(/ -100 x) |
(/.f64 #s(literal -100 binary64) x) |
(/ -100 x) |
(/.f64 #s(literal -100 binary64) x) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64)) |
1/100 |
#s(literal 1/100 binary64) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(-.f64 (/.f64 y x) #s(literal -1 binary64)) |
(+ 1 (/ y x)) |
(-.f64 (/.f64 y x) #s(literal -1 binary64)) |
(+ 1 (/ y x)) |
(-.f64 (/.f64 y x) #s(literal -1 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
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) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(/ -100 x) |
(/.f64 #s(literal -100 binary64) x) |
(/ -100 x) |
(/.f64 #s(literal -100 binary64) x) |
(/ -100 x) |
(/.f64 #s(literal -100 binary64) x) |
(/ -100 x) |
(/.f64 #s(literal -100 binary64) x) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64)) |
1/100 |
#s(literal 1/100 binary64) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(-.f64 (/.f64 y x) #s(literal -1 binary64)) |
(+ 1 (/ y x)) |
(-.f64 (/.f64 y x) #s(literal -1 binary64)) |
(+ 1 (/ y x)) |
(-.f64 (/.f64 y x) #s(literal -1 binary64)) |
| 4 586× | lower-*.f32 |
| 4 580× | lower-*.f64 |
| 3 796× | lower-/.f32 |
| 3 786× | lower-/.f64 |
| 3 584× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 89 |
| 0 | 33 | 87 |
| 1 | 128 | 87 |
| 2 | 757 | 87 |
| 0 | 8373 | 87 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/.f64 #s(literal 100 binary64) y) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(/.f64 #s(literal -100 binary64) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) |
(*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) |
(/.f64 (+.f64 y x) x) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/100 binary64))) (-.f64 x y)) |
(*.f64 (/.f64 x (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/100 binary64))) (-.f64 y x)) |
(*.f64 (/.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/100 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/100 binary64) (+.f64 y x))) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x)) (-.f64 x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) x)) (-.f64 y x)) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/100 binary64) (+.f64 y x))) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 #s(literal 100 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -100 binary64) (+.f64 y x)) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -100 binary64) (+.f64 y x))) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (/.f64 x (-.f64 x y)))) (-.f64 x y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (/.f64 x (-.f64 y x)))) (-.f64 y x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 y x) x) #s(literal 1/100 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (/.f64 (+.f64 y x) x) #s(literal 1/100 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -100 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 y x) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) (+.f64 y x))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (-.f64 x y) #s(literal 1/100 binary64))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (-.f64 x y) #s(literal 100 binary64))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 100 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (-.f64 y x) #s(literal 1/100 binary64))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (-.f64 y x) #s(literal 100 binary64))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal 100 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 1/100 binary64))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 100 binary64))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 100 binary64) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -100 binary64) (+.f64 y x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -100 binary64) (+.f64 y x)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (-.f64 x y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 x (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (-.f64 x y) x)) |
(*.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (-.f64 y x) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 x (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (-.f64 y x) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (/.f64 x (-.f64 x y))) (*.f64 (-.f64 x y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (/.f64 x (-.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (/.f64 x (-.f64 x y))) (-.f64 x y)) |
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (/.f64 x (-.f64 y x))) (*.f64 (-.f64 y x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (/.f64 x (-.f64 y x))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (/.f64 x (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
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(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (-.f64 y x) (*.f64 #s(literal 100 binary64) x))) |
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(-.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) x) (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (neg.f64 x) y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 x (pow.f64 x #s(literal -1 binary64))) (/.f64 y x)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (/.f64 y x)) |
(+.f64 (/.f64 y x) (*.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(+.f64 (/.f64 y x) (*.f64 (pow.f64 x #s(literal -1 binary64)) x)) |
Compiled 24 180 to 3 020 computations (87.5% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 386 | 5 | 1 391 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 387 | 10 | 1 397 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.9% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) |
| ✓ | 99.8% | (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
| ▶ | 52.7% | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) |
| ✓ | 47.9% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) |
| ▶ | 52.7% | #s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) |
| ▶ | 52.8% | #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
| ▶ | 52.7% | #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) |
| ✓ | 52.9% | #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
| ✓ | 48.3% | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
Compiled 95 to 93 computations (2.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (+ y x)) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 100 binary64) x) y) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) | |
| cost-diff | -384 | (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/100 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/100 binary64) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) |
| 56× | lower-*.f32 |
| 50× | lower-*.f64 |
| 32× | lower-/.f32 |
| 28× | *-commutative |
| 20× | lower-/.f64 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 141 |
| 0 | 38 | 141 |
| 1 | 55 | 141 |
| 2 | 70 | 141 |
| 3 | 74 | 141 |
| 4 | 77 | 141 |
| 5 | 85 | 141 |
| 6 | 88 | 141 |
| 7 | 90 | 139 |
| 8 | 91 | 139 |
| 0 | 91 | 139 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) |
#s(literal 1 binary64) |
#s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(/.f64 #s(literal 1/100 binary64) x) |
#s(literal 1/100 binary64) |
x |
y |
#s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) |
(/.f64 x (*.f64 #s(literal 1/100 binary64) y)) |
x |
(*.f64 #s(literal 1/100 binary64) y) |
#s(literal 1/100 binary64) |
y |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(*.f64 #s(literal 100 binary64) x) |
#s(literal 100 binary64) |
x |
y |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 100 binary64) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) |
(/.f64 (/.f64 x y) #s(literal 1/100 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1/100 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) |
#s(literal 1 binary64) |
#s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(/.f64 #s(literal 1/100 binary64) x) |
#s(literal 1/100 binary64) |
x |
y |
#s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) |
(/.f64 x (*.f64 #s(literal 1/100 binary64) y)) |
(/.f64 (/.f64 x y) #s(literal 1/100 binary64)) |
x |
(*.f64 #s(literal 1/100 binary64) y) |
(*.f64 y #s(literal 1/100 binary64)) |
#s(literal 1/100 binary64) |
y |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(*.f64 #s(literal 100 binary64) x) |
#s(literal 100 binary64) |
x |
y |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 100 binary64) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) |
(/.f64 (/.f64 x y) #s(literal 1/100 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1/100 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.2603275632413075 | (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) | |
| accuracy | 30.116561806741256 | #s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.1509525632413075 | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) | |
| accuracy | 30.110988583930478 | #s(approx (/ x (+ y x)) (/.f64 x y)) | |
| accuracy | 0 | (*.f64 #s(literal 100 binary64) x) | |
| accuracy | 0.4377001539807256 | (/.f64 (*.f64 #s(literal 100 binary64) x) y) | |
| accuracy | 30.116561806741256 | #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) | |
| accuracy | 0.1328125 | (*.f64 #s(literal 1/100 binary64) y) | |
| accuracy | 0.21484375 | (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) | |
| accuracy | 30.116561806741256 | #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) | |
| accuracy | 0 | #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) | |
| accuracy | 0.08984375 | (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) | |
| accuracy | 0.1484375 | (/.f64 #s(literal 1/100 binary64) x) | |
| accuracy | 0.21271268839850518 | (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) |
| 172.0ms | 256× | 0 | valid |
Compiled 104 to 25 computations (76% saved)
const: 105.0ms (66.3% of total)ival-div: 41.0ms (25.9% of total)ival-mult: 8.0ms (5.1% of total)ival-add: 4.0ms (2.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) (patch #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/100 binary64) x) (patch (/.f64 #s(literal 1/100 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/100 binary64) y) (patch (*.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 100 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 100 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 100 binary64) x) (patch (*.f64 #s(literal 100 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 100 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1/100 (taylor 0 y) (#s(alt #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) (patch #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/100 (* 1/100 (/ y x))) (taylor 0 y) (#s(alt #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) (patch #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/100 (* 1/100 (/ y x))) (taylor 0 y) (#s(alt #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) (patch #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/100 (* 1/100 (/ y x))) (taylor 0 y) (#s(alt #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) (patch #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1/100 (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/100 (* 1/100 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/100 (* 1/100 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/100 (* 1/100 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/100 binary64) y) (patch (*.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/100 binary64) y) (patch (*.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/100 binary64) y) (patch (*.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/100 binary64) y) (patch (*.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* 100 (/ x y)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1/100 (* 1/100 (/ y x))) (taylor -inf x) (#s(alt #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) (patch #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/100 (* 1/100 (/ y x))) (taylor -inf x) (#s(alt #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) (patch #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/100 (* 1/100 (/ y x))) (taylor -inf x) (#s(alt #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) (patch #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1/100 (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/100 (* 1/100 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1/100 (* 1/100 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/100 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/100 binary64) x) (patch (/.f64 #s(literal 1/100 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/100 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/100 binary64) x) (patch (/.f64 #s(literal 1/100 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/100 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/100 binary64) x) (patch (/.f64 #s(literal 1/100 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/100 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/100 binary64) x) (patch (/.f64 #s(literal 1/100 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 100 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 100 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 100 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 100 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 100 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 100 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 100 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 100 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 100 binary64) x) (patch (*.f64 #s(literal 100 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 100 binary64) x) (patch (*.f64 #s(literal 100 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 100 binary64) x) (patch (*.f64 #s(literal 100 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 100 binary64) x) (patch (*.f64 #s(literal 100 binary64) x) #<representation binary64>) () ())) ()) |
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#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ 1 (* 1/100 (/ (+ y x) x))) (* 1/100 (/ (+ y x) x)) (+ (* (/ 1/100 x) y) 1/100) (/ 1/100 x) (/ (* x 100) (+ x y)) (* 1/100 y) (/ x (* 1/100 y)) (/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ (* x 100) (+ x y)) (/ (/ x y) 1/100)) |
| 1.0ms | y | @ | -inf | ((/ 1 (* 1/100 (/ (+ y x) x))) (* 1/100 (/ (+ y x) x)) (+ (* (/ 1/100 x) y) 1/100) (/ 1/100 x) (/ (* x 100) (+ x y)) (* 1/100 y) (/ x (* 1/100 y)) (/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ (* x 100) (+ x y)) (/ (/ x y) 1/100)) |
| 1.0ms | x | @ | inf | ((/ 1 (* 1/100 (/ (+ y x) x))) (* 1/100 (/ (+ y x) x)) (+ (* (/ 1/100 x) y) 1/100) (/ 1/100 x) (/ (* x 100) (+ x y)) (* 1/100 y) (/ x (* 1/100 y)) (/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ (* x 100) (+ x y)) (/ (/ x y) 1/100)) |
| 1.0ms | y | @ | 0 | ((/ 1 (* 1/100 (/ (+ y x) x))) (* 1/100 (/ (+ y x) x)) (+ (* (/ 1/100 x) y) 1/100) (/ 1/100 x) (/ (* x 100) (+ x y)) (* 1/100 y) (/ x (* 1/100 y)) (/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ (* x 100) (+ x y)) (/ (/ x y) 1/100)) |
| 1.0ms | y | @ | inf | ((/ 1 (* 1/100 (/ (+ y x) x))) (* 1/100 (/ (+ y x) x)) (+ (* (/ 1/100 x) y) 1/100) (/ 1/100 x) (/ (* x 100) (+ x y)) (* 1/100 y) (/ x (* 1/100 y)) (/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ (* x 100) (+ x y)) (/ (/ x y) 1/100)) |
| 1× | egg-herbie |
| 11 420× | lower-fma.f64 |
| 11 420× | lower-fma.f32 |
| 4 298× | lower-*.f64 |
| 4 298× | lower-*.f32 |
| 3 398× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 219 | 2873 |
| 1 | 665 | 2830 |
| 2 | 1672 | 2696 |
| 3 | 5965 | 2694 |
| 0 | 8057 | 2531 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
1/100 |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
1/100 |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 1/100 (/ y x)) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* 1/100 (/ y x)) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 1/100 (/ y x)) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* 1/100 (/ y x)) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* 1/100 (/ y x)) |
(/ (+ (* 1/100 x) (* 1/100 y)) x) |
(/ (+ (* 1/100 x) (* 1/100 y)) x) |
(/ (+ (* 1/100 x) (* 1/100 y)) x) |
(* 1/100 (/ y x)) |
(/ (+ (* 1/100 x) (* 1/100 y)) x) |
(/ (+ (* 1/100 x) (* 1/100 y)) x) |
(/ (+ (* 1/100 x) (* 1/100 y)) x) |
(/ 1/100 x) |
(/ 1/100 x) |
(/ 1/100 x) |
(/ 1/100 x) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
1/100 |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
1/100 |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
(/ 1/100 x) |
(/ 1/100 x) |
(/ 1/100 x) |
(/ 1/100 x) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
1/100 |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
1/100 |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
(+ 1/100 (* 1/100 (/ y x))) |
(/ 1/100 x) |
(/ 1/100 x) |
(/ 1/100 x) |
(/ 1/100 x) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
| Outputs |
|---|
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
1/100 |
#s(literal 1/100 binary64) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
1/100 |
#s(literal 1/100 binary64) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
(* 1/100 y) |
(*.f64 #s(literal 1/100 binary64) y) |
(* 1/100 y) |
(*.f64 #s(literal 1/100 binary64) y) |
(* 1/100 y) |
(*.f64 #s(literal 1/100 binary64) y) |
(* 1/100 y) |
(*.f64 #s(literal 1/100 binary64) y) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal -100 binary64) (*.f64 x #s(literal 100 binary64))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) #s(literal 100 binary64) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -100 binary64))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) #s(literal 100 binary64) (*.f64 (fma.f64 (/.f64 x y) x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -100 binary64))) y) |
(* 1/100 (/ y x)) |
(*.f64 (/.f64 #s(literal 1/100 binary64) x) y) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(* 1/100 (/ y x)) |
(*.f64 (/.f64 #s(literal 1/100 binary64) x) y) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(* y (+ (* 1/100 (/ 1 x)) (* 1/100 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal -100 binary64) (*.f64 x #s(literal 100 binary64))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) #s(literal 100 binary64) (*.f64 (*.f64 (/.f64 x y) x) #s(literal -100 binary64))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) #s(literal 100 binary64) (*.f64 (fma.f64 (/.f64 x y) x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -100 binary64))) y) |
(* 1/100 y) |
(*.f64 #s(literal 1/100 binary64) y) |
(* 1/100 y) |
(*.f64 #s(literal 1/100 binary64) y) |
(* 1/100 y) |
(*.f64 #s(literal 1/100 binary64) y) |
(* 1/100 y) |
(*.f64 #s(literal 1/100 binary64) y) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
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100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
1/100 |
#s(literal 1/100 binary64) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
1/100 |
#s(literal 1/100 binary64) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(/ 1/100 x) |
(/.f64 #s(literal 1/100 binary64) x) |
(/ 1/100 x) |
(/.f64 #s(literal 1/100 binary64) x) |
(/ 1/100 x) |
(/.f64 #s(literal 1/100 binary64) x) |
(/ 1/100 x) |
(/.f64 #s(literal 1/100 binary64) x) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
1/100 |
#s(literal 1/100 binary64) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
1/100 |
#s(literal 1/100 binary64) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(+ 1/100 (* 1/100 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(/ 1/100 x) |
(/.f64 #s(literal 1/100 binary64) x) |
(/ 1/100 x) |
(/.f64 #s(literal 1/100 binary64) x) |
(/ 1/100 x) |
(/.f64 #s(literal 1/100 binary64) x) |
(/ 1/100 x) |
(/.f64 #s(literal 1/100 binary64) x) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
(* 100 x) |
(*.f64 x #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
| 5 244× | lower-*.f32 |
| 5 238× | lower-*.f64 |
| 5 014× | lower-/.f32 |
| 5 002× | lower-/.f64 |
| 3 478× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 122 |
| 0 | 38 | 122 |
| 1 | 148 | 122 |
| 2 | 824 | 122 |
| 0 | 8411 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) |
#s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) |
(fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)) |
(/.f64 #s(literal 1/100 binary64) x) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) |
(*.f64 #s(literal 1/100 binary64) y) |
(/.f64 x (*.f64 #s(literal 1/100 binary64) y)) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(*.f64 #s(literal 100 binary64) x) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) |
(/.f64 (/.f64 x y) #s(literal 1/100 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal -1/2 binary64))) (pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))))) |
(*.f64 (pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))))) |
(/.f64 (pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))))) |
(*.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) |
(pow.f64 (pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal 1 binary64)) |
#s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal -1/2 binary64))) (pow.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))))) |
(/.f64 #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64))) #s(literal 1 binary64)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal -100 binary64) (/.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/100 binary64) y)) (*.f64 #s(literal -100 binary64) (/.f64 x y))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -100 binary64) (/.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/100 binary64) x) y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -100 binary64) (neg.f64 x)) |
(*.f64 (neg.f64 x) #s(literal -100 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -100 binary64) x)) |
(*.f64 (*.f64 #s(literal 100 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 100 binary64) x) |
(*.f64 x #s(literal 100 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) x)) |
(pow.f64 (*.f64 #s(literal 100 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/100 binary64) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1/100 binary64)) |
(/.f64 #s(literal -100 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 #s(literal -100 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) #s(literal -1/100 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/100 binary64) x)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 100 binary64) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 x #s(literal 1/100 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/100 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) x)) |
(neg.f64 (*.f64 #s(literal -100 binary64) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -100 binary64) x)) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ x (+ y x)) (/.f64 x y))) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 x y) #s(literal 100 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -100 binary64) x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -100 binary64) x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/100 binary64) x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/100 binary64) x) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -100 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/100 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -100 binary64) x)) |
(*.f64 (/.f64 #s(literal -100 binary64) y) (neg.f64 x)) |
(*.f64 #s(literal -100 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 100 binary64) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(*.f64 (*.f64 #s(literal -100 binary64) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -100 binary64)) |
(*.f64 (neg.f64 x) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -100 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 100 binary64))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -100 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -100 binary64) (/.f64 x y))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 100 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(*.f64 x (*.f64 #s(literal -100 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64))) |
(*.f64 x (/.f64 #s(literal 100 binary64) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 100 binary64))) |
(pow.f64 (*.f64 (/.f64 #s(literal 1/100 binary64) x) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/100 binary64) x)) |
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) x) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -100 binary64) x)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal -1/100 binary64) y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 y #s(literal 1/100 binary64))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -1/100 binary64) y)) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1/100 binary64) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1/100 binary64) x)) |
(/.f64 (/.f64 #s(literal -100 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -100 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/100 binary64) x)) |
(/.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal -100 binary64) x) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1/100 binary64)) |
(/.f64 (neg.f64 x) (*.f64 #s(literal -1/100 binary64) y)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/100 binary64) (/.f64 y x))) |
(/.f64 (/.f64 x y) #s(literal 1/100 binary64)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(/.f64 #s(literal 100 binary64) (/.f64 y x)) |
(/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/100 binary64) x) y)) |
(neg.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/100 binary64) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -100 binary64) (/.f64 x y)))) |
(neg.f64 (*.f64 #s(literal 100 binary64) (/.f64 (neg.f64 x) y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 100 binary64))) |
(neg.f64 (*.f64 #s(literal -100 binary64) (/.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal -100 binary64) (/.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/100 binary64) y)) (*.f64 #s(literal -100 binary64) (/.f64 x y))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -100 binary64) (/.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/100 binary64) x) y)) #s(literal -1 binary64))) |
Compiled 8 416 to 1 090 computations (87% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 753 | 0 | 753 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 753 | 10 | 763 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.9% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ✓ | 99.6% | (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) |
| ✓ | 99.8% | (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
| ✓ | 52.7% | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) |
| ✓ | 47.9% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) |
| ✓ | 52.7% | #s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) |
| ✓ | 52.8% | #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
| ✓ | 52.7% | #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) |
| ✓ | 52.9% | #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
| ✓ | 48.3% | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
Compiled 133 to 98 computations (26.3% saved)
| Inputs |
|---|
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (/.f64 x y) #s(literal 1/100 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (+ y x) x)) (fma.f64 (/.f64 #s(literal 1/100 binary64) x) y #s(literal 1/100 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
3 calls:
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) |
3 calls:
| 8.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 3 | x |
| 76.5% | 3 | y |
| 98.4% | 2 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) |
| Outputs |
|---|
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
1 calls:
| 2.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 2 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 7 to 6 computations (14.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
| Outputs |
|---|
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.3% | 1 | y |
| 48.3% | 1 | x |
| 48.3% | 1 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 24.741567721468865 | 98.06325806449699 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 24.741567721468865 | 98.06325806449699 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
| 6× | *-commutative-binary64-*.f64 |
| 2× | +-commutative-binary64-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 85 |
| 1 | 28 | 85 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 40 binary64)) #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 40 binary64)) #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 y x))) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 40 binary64)) #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 y x)) #s(literal 40 binary64)) #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 40 binary64)) #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 y x)) #s(literal 40 binary64)) #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
| 15 982× | lower-fma.f64 |
| 15 982× | lower-fma.f32 |
| 4 492× | lower-/.f32 |
| 4 490× | lower-/.f64 |
| 4 158× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 34 | 13 |
| 2 | 218 | 13 |
| 3 | 2144 | 13 |
| 0 | 8195 | 13 |
| 0 | 142 | 445 |
| 1 | 400 | 440 |
| 2 | 985 | 420 |
| 3 | 3160 | 406 |
| 4 | 7109 | 406 |
| 0 | 8148 | 375 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 89 to 53 computations (40.4% saved)
Compiled 132 to 68 computations (48.5% saved)
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