
Time bar (total: 5.4s)
| 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)
| 824.0ms | 8 256× | 0 | valid |
ival-div: 295.0ms (46.7% of total)ival-mult: 223.0ms (35.3% of total)ival-add: 98.0ms (15.5% of total)ival-true: 6.0ms (1% of total)exact: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 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 | 1 | 0 |
| ↳ | (*.f64 x #s(literal 100 binary64)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 512× | 0 | valid |
Compiled 59 to 28 computations (52.5% saved)
ival-div: 4.0ms (35.3% of total)ival-mult: 4.0ms (35.3% of total)ival-add: 3.0ms (26.5% 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 |
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 |
|---|---|---|
| ▶ | 99.3% | (/.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)) |
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 | 0.42574501741718873 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 16.0ms | 256× | 0 | valid |
Compiled 34 to 14 computations (58.8% saved)
ival-div: 3.0ms (46.4% of total)ival-mult: 2.0ms (31% of total)ival-add: 1.0ms (15.5% 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 (*.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)) |
| 1.0ms | y | @ | 0 | ((/ (* x 100) (+ x y)) (* x 100) (+ x y)) |
| 1× | egg-herbie |
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) |
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 |
|---|
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Compiled 8 511 to 1 130 computations (86.7% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 370 | 7 | 377 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 370 | 8 | 378 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.3% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 99.6% | (/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64))) | |
| ▶ | 99.7% | (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) |
| 99.1% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (*.f64 #s(literal -100 binary64) x)) | |
| ▶ | 51.6% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) |
| ▶ | 48.6% | #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
| ▶ | 52.1% | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
Compiled 97 to 92 computations (5.2% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) | |
| 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 #s(literal 100 binary64) (+.f64 y x)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 97 |
| 0 | 29 | 97 |
| 1 | 43 | 97 |
| 2 | 49 | 97 |
| 3 | 51 | 97 |
| 0 | 51 | 97 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) |
(/.f64 #s(literal 100 binary64) (+.f64 y x)) |
#s(literal 100 binary64) |
(+.f64 y x) |
y |
x |
#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 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
#s(literal 100 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(/.f64 #s(literal 100 binary64) (+.f64 y x)) |
(/.f64 #s(literal 100 binary64) (+.f64 x y)) |
#s(literal 100 binary64) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#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 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(/.f64 x (+.f64 y x)) |
(/.f64 x (+.f64 x y)) |
x |
(+.f64 y x) |
(+.f64 x y) |
y |
#s(literal 100 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.01171875 | (/.f64 x (+.f64 y x)) | |
| accuracy | 0.1838540461608142 | (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal -100 binary64) x) | |
| accuracy | 0.07421875 | (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) | |
| accuracy | 30.969958124797724 | #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 | 0.6712983050304817 | (*.f64 (/.f64 #s(literal 100 binary64) y) x) | |
| accuracy | 32.78964362643734 | #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) | |
| accuracy | 30.672050477028733 | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 100 binary64) (+.f64 y x)) | |
| accuracy | 0.16015625 | (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) |
| 111.0ms | 256× | 0 | valid |
Compiled 161 to 35 computations (78.3% saved)
ival-add: 80.0ms (82.9% of total)ival-div: 9.0ms (9.3% of total)ival-mult: 7.0ms (7.3% 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 #s(literal 100 binary64) (+.f64 y x)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 100 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 100 binary64) (+.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>) () ()) |
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| Outputs |
|---|
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#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 (taylor -inf x) (#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 -inf x) (#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 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#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 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#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 -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | ((* (/ 100 (+ y x)) x) (/ 100 (+ 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) (* (/ x (+ y x)) 100) (/ x (+ y x))) |
| 2.0ms | x | @ | 0 | ((* (/ 100 (+ y x)) x) (/ 100 (+ 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) (* (/ x (+ y x)) 100) (/ x (+ y x))) |
| 2.0ms | y | @ | inf | ((* (/ 100 (+ y x)) x) (/ 100 (+ 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) (* (/ x (+ y x)) 100) (/ x (+ y x))) |
| 2.0ms | x | @ | inf | ((* (/ 100 (+ y x)) x) (/ 100 (+ 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) (* (/ x (+ y x)) 100) (/ x (+ y x))) |
| 1.0ms | x | @ | -inf | ((* (/ 100 (+ y x)) x) (/ 100 (+ 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) (* (/ x (+ y x)) 100) (/ x (+ y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 303 | 2886 |
| 1 | 948 | 2725 |
| 2 | 2427 | 2589 |
| 3 | 7301 | 2542 |
| 0 | 8531 | 2344 |
| 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))))) |
(/ 100 x) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 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 |
(+ 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)))) |
(* 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) |
(/ (+ 100 (* -100 (/ x y))) y) |
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) |
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x 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) |
(/ 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) |
(* 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) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) 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)) |
(/ 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)) |
(* 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) |
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) |
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 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)))) |
(/ 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))) |
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 (* -100 (/ y x))) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) 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 |
(+ 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))) |
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) |
(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) 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 |
(+ 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))) |
| 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 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(/ 100 x) |
(/.f64 #s(literal 100 binary64) x) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) x) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) x) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal -100 binary64) x) x)) y (/.f64 #s(literal 100 binary64) x)) |
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 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) x) y #s(literal -100 binary64)) x) y #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 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(/ 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 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
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(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)) y) x) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) y) x #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 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -100 binary64)) |
(/ (+ (* -100 y) (* 100 x)) x) |
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 x y)) x) |
(/ (+ (* -100 y) (* 100 x)) x) |
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 x y)) x) |
(/ (+ (* -100 y) (* 100 x)) x) |
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 x y)) 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 x) |
(/.f64 #s(literal -100 binary64) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)) y) x) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) y) x #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) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(+.f64 (fma.f64 (/.f64 (neg.f64 x) (*.f64 y y)) x (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 x y)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 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 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #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 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) #s(literal 100 binary64))) |
(/ 100 x) |
(/.f64 #s(literal 100 binary64) x) |
(/ (+ 100 (* -100 (/ y x))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) #s(literal 100 binary64))) x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x 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 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #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 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) #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 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #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 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) #s(literal 100 binary64))) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #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 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #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 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) #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 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #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 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #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 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 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)))) |
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 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) #s(literal 100 binary64))) |
(/ 100 x) |
(/.f64 #s(literal 100 binary64) x) |
(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) #s(literal 100 binary64))) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x 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 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) #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 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) #s(literal 100 binary64))) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #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 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) #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 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #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 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 80 |
| 0 | 29 | 80 |
| 1 | 113 | 80 |
| 2 | 654 | 80 |
| 3 | 7190 | 80 |
| 0 | 8287 | 80 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) |
(/.f64 #s(literal 100 binary64) (+.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 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
(/.f64 x (+.f64 y x)) |
| Outputs |
|---|
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Compiled 18 541 to 2 016 computations (89.1% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 037 | 4 | 1 041 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 039 | 10 | 1 049 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.3% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ✓ | 99.7% | (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) |
| ▶ | 48.5% | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) |
| ✓ | 51.6% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) |
| ▶ | 48.6% | #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 x #s(literal 100 binary64)) y)) |
| ▶ | 48.6% | #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) |
| ✓ | 48.6% | #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
| ▶ | 48.5% | #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) |
| ✓ | 52.1% | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
Compiled 62 to 61 computations (1.6% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 x #s(literal 100 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 100 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 x #s(literal 100 binary64)) y)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/100 binary64) y) | |
| cost-diff | 0 | (/.f64 x (*.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 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 108 |
| 0 | 33 | 102 |
| 1 | 47 | 102 |
| 2 | 61 | 102 |
| 3 | 75 | 102 |
| 4 | 97 | 102 |
| 5 | 137 | 102 |
| 6 | 183 | 102 |
| 7 | 227 | 102 |
| 8 | 296 | 102 |
| 9 | 368 | 102 |
| 10 | 718 | 102 |
| 11 | 1214 | 102 |
| 12 | 1308 | 102 |
| 13 | 1421 | 102 |
| 14 | 1519 | 102 |
| 15 | 1596 | 102 |
| 16 | 1597 | 102 |
| 0 | 1597 | 102 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(literal -100 binary64) |
x |
#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 x #s(literal 100 binary64)) y)) |
(/.f64 (*.f64 x #s(literal 100 binary64)) y) |
(*.f64 x #s(literal 100 binary64)) |
x |
#s(literal 100 binary64) |
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) |
| Outputs |
|---|
#s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) |
(/.f64 #s(literal 100 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(literal -100 binary64) |
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) y) x)) |
(/.f64 x (*.f64 #s(literal 1/100 binary64) y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
x |
(*.f64 #s(literal 1/100 binary64) y) |
#s(literal 1/100 binary64) |
y |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 x #s(literal 100 binary64)) y)) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
(/.f64 (*.f64 x #s(literal 100 binary64)) y) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(*.f64 x #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) x) |
x |
#s(literal 100 binary64) |
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) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.1838540461608142 | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) | |
| accuracy | 32.786408390803196 | #s(approx (/ x (+ y x)) (/.f64 x y)) | |
| accuracy | 0 | (*.f64 x #s(literal 100 binary64)) | |
| accuracy | 0.42914025427296676 | (/.f64 (*.f64 x #s(literal 100 binary64)) y) | |
| accuracy | 32.78964362643734 | #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 x #s(literal 100 binary64)) y)) | |
| accuracy | 0.11328125 | (*.f64 #s(literal 1/100 binary64) y) | |
| accuracy | 0.22391378162065376 | (/.f64 x (*.f64 #s(literal 1/100 binary64) y)) | |
| accuracy | 32.78964362643734 | #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.3203125 | (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) | |
| accuracy | 0.6712983050304817 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) | |
| accuracy | 32.78964362643734 | #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) |
| 144.0ms | 256× | 0 | valid |
Compiled 159 to 40 computations (74.8% saved)
ival-add: 106.0ms (80.3% of total)ival-div: 11.0ms (8.3% of total)ival-mult: 10.0ms (7.6% of total)const: 5.0ms (3.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<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 x (*.f64 #s(literal 1/100 binary64) y)) (patch (/.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 #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 x #s(literal 100 binary64)) y)) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 x #s(literal 100 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<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>) () ()) |
| Outputs |
|---|
#s(alt (/ 100 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | ((* (/ -1 y) -100) (/ (* x 100) (+ x y)) (* (* (/ -1 y) -100) x) (/ -1 y) (/ (* x 100) (+ x y)) (/ x (* 1/100 y)) (* 1/100 y) (/ (* x 100) (+ x y)) (/ (* x 100) y) (* x 100) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y)) |
| 1.0ms | y | @ | -inf | ((* (/ -1 y) -100) (/ (* x 100) (+ x y)) (* (* (/ -1 y) -100) x) (/ -1 y) (/ (* x 100) (+ x y)) (/ x (* 1/100 y)) (* 1/100 y) (/ (* x 100) (+ x y)) (/ (* x 100) y) (* x 100) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y)) |
| 1.0ms | y | @ | inf | ((* (/ -1 y) -100) (/ (* x 100) (+ x y)) (* (* (/ -1 y) -100) x) (/ -1 y) (/ (* x 100) (+ x y)) (/ x (* 1/100 y)) (* 1/100 y) (/ (* x 100) (+ x y)) (/ (* x 100) y) (* x 100) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y)) |
| 1.0ms | x | @ | -inf | ((* (/ -1 y) -100) (/ (* x 100) (+ x y)) (* (* (/ -1 y) -100) x) (/ -1 y) (/ (* x 100) (+ x y)) (/ x (* 1/100 y)) (* 1/100 y) (/ (* x 100) (+ x y)) (/ (* x 100) y) (* x 100) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y)) |
| 1.0ms | x | @ | inf | ((* (/ -1 y) -100) (/ (* x 100) (+ x y)) (* (* (/ -1 y) -100) x) (/ -1 y) (/ (* x 100) (+ x y)) (/ x (* 1/100 y)) (* 1/100 y) (/ (* x 100) (+ x y)) (/ (* x 100) y) (* x 100) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 2272 |
| 1 | 635 | 2234 |
| 2 | 1611 | 2122 |
| 3 | 5775 | 2120 |
| 0 | 8291 | 2011 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 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)) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 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 (/ 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 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 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -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) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 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 (/ 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 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 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -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)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 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 (/ 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)) |
(* 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 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 |
(+ 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 |
(+ 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 (* -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 |
(+ 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) |
| Outputs |
|---|
(/ 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 #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 (-.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) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
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 (-.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) |
(* 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 |
#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 (-.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 #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 (-.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 y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x 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 y) |
(/.f64 #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 (/.f64 #s(literal -100 binary64) y) 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)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
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(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 (-.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 (/ (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 (* -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 (-.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 #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 (-.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 #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 (-.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 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 (-.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 y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 95 |
| 0 | 33 | 89 |
| 1 | 107 | 89 |
| 2 | 546 | 89 |
| 3 | 5012 | 89 |
| 0 | 8405 | 89 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) |
(/.f64 #s(literal -1 binary64) 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)) |
(*.f64 #s(literal 1/100 binary64) y) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 x #s(literal 100 binary64)) y)) |
(/.f64 (*.f64 x #s(literal 100 binary64)) y) |
(*.f64 x #s(literal 100 binary64)) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
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Compiled 5 204 to 692 computations (86.7% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 559 | 0 | 559 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 6 | 6 |
| Total | 559 | 10 | 569 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.3% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ✓ | 99.7% | (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) |
| ✓ | 48.5% | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) |
| ✓ | 51.6% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) |
| ✓ | 48.6% | #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 x #s(literal 100 binary64)) y)) |
| ✓ | 48.6% | #s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) |
| ✓ | 48.6% | #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
| ✓ | 48.5% | #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) |
| ✓ | 52.1% | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
Compiled 140 to 99 computations (29.3% 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 x #s(literal 100 binary64)) 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 #s(literal 100 binary64) (+.f64 y x)) x) |
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
(/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64))) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (*.f64 #s(literal -100 binary64) x)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) |
3 calls:
| 6.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 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 x #s(literal 100 binary64)) 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:
| 5.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 3 | x |
| 75.2% | 3 | y |
| 97.7% | 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 x #s(literal 100 binary64)) 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 |
|---|---|---|
| 97.2% | 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 | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | y |
| 52.1% | 1 | x |
| 52.1% | 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 | 0.006157142751565057 | 69.25920894222786 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.006157142751565057 | 69.25920894222786 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 85 |
| 1 | 28 | 85 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 5764607523034235/576460752303423488 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 5764607523034235/576460752303423488 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 #s(literal 100 binary64) (+.f64 y x)) x) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 5764607523034235/576460752303423488 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 5764607523034235/576460752303423488 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)) |
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 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 34 | 13 |
| 2 | 218 | 13 |
| 3 | 2144 | 13 |
| 0 | 8195 | 13 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 89 to 53 computations (40.4% saved)
Compiled 132 to 68 computations (48.5% saved)
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