
Time bar (total: 6.4s)
| 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 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 15 to 14 computations (6.7% saved)
| 963.0ms | 8 256× | 0 | valid |
ival-mult: 302.0ms (51.4% of total)ival-add: 116.0ms (19.7% of total)ival-div: 89.0ms (15.1% of total)ival-sub: 61.0ms (10.4% of total)exact: 10.0ms (1.7% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 3/4 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3/4 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y #s(literal 3/4 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) | o/n | 1 | 0 |
| ↳ | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) | 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 |
| 101.0ms | 462× | 0 | valid |
| 25.0ms | 12× | 3 | valid |
| 4.0ms | 20× | 2 | valid |
| 3.0ms | 18× | 1 | valid |
Compiled 125 to 40 computations (68% saved)
ival-div: 41.0ms (36% of total)ival-mult: 39.0ms (34.2% of total)adjust: 24.0ms (21% of total)ival-add: 6.0ms (5.3% of total)ival-sub: 3.0ms (2.6% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 127 |
| 1 | 116 | 121 |
| 2 | 303 | 121 |
| 3 | 838 | 121 |
| 4 | 2408 | 85 |
| 5 | 5636 | 85 |
| 6 | 7083 | 85 |
| 0 | 12 | 13 |
| 0 | 18 | 13 |
| 1 | 31 | 13 |
| 2 | 64 | 13 |
| 3 | 138 | 13 |
| 4 | 354 | 9 |
| 5 | 1030 | 9 |
| 6 | 1422 | 9 |
| 7 | 1572 | 9 |
| 8 | 1860 | 9 |
| 9 | 2370 | 9 |
| 10 | 2874 | 9 |
| 11 | 3114 | 9 |
| 12 | 3541 | 9 |
| 13 | 3885 | 9 |
| 14 | 4116 | 9 |
| 15 | 4345 | 9 |
| 16 | 4645 | 9 |
| 17 | 4870 | 9 |
| 18 | 5050 | 9 |
| 19 | 5171 | 9 |
| 20 | 5240 | 9 |
| 21 | 5304 | 9 |
| 22 | 5361 | 9 |
| 23 | 5417 | 9 |
| 24 | 5489 | 9 |
| 25 | 5594 | 9 |
| 26 | 5636 | 9 |
| 27 | 5648 | 9 |
| 28 | 5668 | 9 |
| 29 | 5688 | 9 |
| 30 | 5708 | 9 |
| 0 | 5708 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 4 binary64)) |
Compiled 13 to 12 computations (7.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) | |
| cost-diff | 1 | (+.f64 x (*.f64 y #s(literal 3/4 binary64))) | |
| cost-diff | 2 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) | |
| cost-diff | 2 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 54 |
| 0 | 18 | 54 |
| 1 | 31 | 54 |
| 2 | 64 | 54 |
| 3 | 138 | 54 |
| 4 | 354 | 48 |
| 5 | 1030 | 48 |
| 6 | 1422 | 48 |
| 7 | 1572 | 48 |
| 8 | 1860 | 48 |
| 9 | 2370 | 48 |
| 10 | 2874 | 48 |
| 11 | 3114 | 48 |
| 12 | 3541 | 48 |
| 13 | 3885 | 48 |
| 14 | 4116 | 48 |
| 15 | 4345 | 48 |
| 16 | 4645 | 48 |
| 17 | 4870 | 48 |
| 18 | 5050 | 48 |
| 19 | 5171 | 48 |
| 20 | 5240 | 48 |
| 21 | 5304 | 48 |
| 22 | 5361 | 48 |
| 23 | 5417 | 48 |
| 24 | 5489 | 48 |
| 25 | 5594 | 48 |
| 26 | 5636 | 48 |
| 27 | 5648 | 48 |
| 28 | 5668 | 48 |
| 29 | 5688 | 48 |
| 30 | 5708 | 48 |
| 0 | 5708 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) |
#s(literal 4 binary64) |
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z) |
(+.f64 x (*.f64 y #s(literal 3/4 binary64))) |
x |
(*.f64 y #s(literal 3/4 binary64)) |
y |
#s(literal 3/4 binary64) |
z |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 4 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 3 binary64)) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) |
(*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z) |
(-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) |
(+.f64 x (*.f64 y #s(literal 3/4 binary64))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
x |
(*.f64 y #s(literal 3/4 binary64)) |
(*.f64 #s(literal 3/4 binary64) y) |
y |
#s(literal 3/4 binary64) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) | |
| accuracy | 0.03515625 | (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z) | |
| accuracy | 0.1171875 | (+.f64 x (*.f64 y #s(literal 3/4 binary64))) | |
| accuracy | 0.29686673878058245 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 16.0ms | 231× | 0 | valid |
| 2.0ms | 10× | 2 | valid |
| 2.0ms | 6× | 3 | valid |
| 1.0ms | 9× | 1 | valid |
Compiled 56 to 14 computations (75% saved)
ival-mult: 4.0ms (34.8% of total)ival-add: 3.0ms (26.1% of total)ival-div: 2.0ms (17.4% of total)adjust: 1.0ms (8.7% of total)ival-sub: 1.0ms (8.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
(+.f64 x (*.f64 y #s(literal 3/4 binary64))) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) |
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(* 4 (/ (- (* 3/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(* 3/4 y) |
(+ x (* 3/4 y)) |
(* 4 (- (* 3/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(- (* 3/4 y) z) |
(- (+ x (* 3/4 y)) z) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
x |
(* x (+ 1 (* 3/4 (/ y x)))) |
(* 4 x) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(* 4 (- x z)) |
(+ (* 3 y) (* 4 (- x z))) |
(- x z) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
3 |
(+ 3 (* 4 (/ (- x z) y))) |
(* y (+ 3/4 (/ x y))) |
(* 3 y) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(* 4 (+ x (* 3/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(* -1 z) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z)) |
| 1.0ms | y | @ | 0 | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z)) |
| 1.0ms | x | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z)) |
| 1.0ms | x | @ | 0 | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z)) |
| 1.0ms | x | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 547 |
| 1 | 465 | 526 |
| 2 | 1418 | 501 |
| 3 | 5289 | 500 |
| 0 | 8276 | 452 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(* 4 (/ (- (* 3/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(* 3/4 y) |
(+ x (* 3/4 y)) |
(* 4 (- (* 3/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(- (* 3/4 y) z) |
(- (+ x (* 3/4 y)) z) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
x |
(* x (+ 1 (* 3/4 (/ y x)))) |
(* 4 x) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(* 4 (- x z)) |
(+ (* 3 y) (* 4 (- x z))) |
(- x z) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
3 |
(+ 3 (* 4 (/ (- x z) y))) |
(* y (+ 3/4 (/ x y))) |
(* 3 y) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(* 4 (+ x (* 3/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(* -1 z) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(fma.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -3/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* 4 (/ (- (* 3/4 y) z) y)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 3 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 3 binary64)) |
(* 3/4 y) |
(*.f64 #s(literal 3/4 binary64) y) |
(+ x (* 3/4 y)) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* 4 (- (* 3/4 y) z)) |
(*.f64 (fma.f64 #s(literal -3/4 binary64) y z) #s(literal -4 binary64)) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(*.f64 (-.f64 (fma.f64 #s(literal -3/4 binary64) y z) x) #s(literal -4 binary64)) |
(- (* 3/4 y) z) |
(-.f64 (*.f64 #s(literal 3/4 binary64) y) z) |
(- (+ x (* 3/4 y)) z) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 3 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
x |
(* x (+ 1 (* 3/4 (/ y x)))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -3/4 binary64) y z) (/.f64 #s(literal -4 binary64) x) #s(literal 4 binary64)) x) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) x) x x) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 3 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) x) (fma.f64 #s(literal -3/4 binary64) y z)) #s(literal 4 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal -3/4 binary64) y z) x) #s(literal 1 binary64))) |
(* 4 (/ (- x z) y)) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 3 binary64)) |
(* 4 (- x z)) |
(*.f64 (-.f64 x z) #s(literal 4 binary64)) |
(+ (* 3 y) (* 4 (- x z))) |
(*.f64 (-.f64 (fma.f64 #s(literal -3/4 binary64) y z) x) #s(literal -4 binary64)) |
(- x z) |
(-.f64 x z) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 3 binary64)) |
(* y (+ 3/4 (/ x y))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(*.f64 (-.f64 (fma.f64 #s(literal -3/4 binary64) y z) x) #s(literal -4 binary64)) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(*.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -3/4 binary64)) y) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal -4 binary64)) #s(literal 3 binary64))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 z x) y) #s(literal 3/4 binary64))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -3/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 3 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 3 binary64)) |
(* 4 (+ x (* 3/4 y))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(*.f64 (-.f64 (fma.f64 #s(literal -3/4 binary64) y z) x) #s(literal -4 binary64)) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(* -4 (/ z y)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) z)) z) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 (/.f64 x y) #s(literal -3/4 binary64)) (/.f64 #s(literal -4 binary64) y)) z) |
(* -4 z) |
(*.f64 #s(literal -4 binary64) z) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) #s(literal 4 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) z)) z) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 (/.f64 x y) #s(literal -3/4 binary64)) (/.f64 #s(literal -4 binary64) y)) z) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64) #s(literal -4 binary64)) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) z (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 0 | 18 | 45 |
| 1 | 71 | 45 |
| 2 | 561 | 45 |
| 0 | 8359 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
(+.f64 x (*.f64 y #s(literal 3/4 binary64))) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) |
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y)))) |
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(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64))) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) x)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) (-.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) x) (*.f64 x x))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) y) (fma.f64 #s(literal -3/4 binary64) y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -3/4 binary64) y) (fma.f64 #s(literal -3/4 binary64) y x))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/16 binary64) y) y (*.f64 x (fma.f64 #s(literal -3/4 binary64) y x)))) z)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) y) (fma.f64 #s(literal -3/4 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) y) (fma.f64 #s(literal -3/4 binary64) y x)) (-.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) y) (fma.f64 #s(literal -3/4 binary64) y x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/16 binary64) y) y (*.f64 x (fma.f64 #s(literal -3/4 binary64) y x)))) z)) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (*.f64 #s(literal 9/16 binary64) y) y (*.f64 x (fma.f64 #s(literal -3/4 binary64) y x)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/16 binary64) y) y (*.f64 x (fma.f64 #s(literal -3/4 binary64) y x)))) z)) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 3/4 binary64) y x)) (/.f64 (neg.f64 (fma.f64 #s(literal 3/4 binary64) y x)) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) |
(fma.f64 (fabs.f64 (fma.f64 #s(literal 3/4 binary64) y x)) (/.f64 (fabs.f64 (fma.f64 #s(literal 3/4 binary64) y x)) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (*.f64 #s(literal 9/16 binary64) y) y (*.f64 x (fma.f64 #s(literal -3/4 binary64) y x)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/16 binary64) y) y (*.f64 x (fma.f64 #s(literal -3/4 binary64) y x)))) z)) |
(fma.f64 (fma.f64 #s(literal 3/4 binary64) y x) (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 9/16 binary64) y) y (*.f64 x (fma.f64 #s(literal -3/4 binary64) y x)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/16 binary64) y) y (*.f64 x (fma.f64 #s(literal -3/4 binary64) y x)))) z)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (fma.f64 #s(literal -3/4 binary64) y x) z)) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -3/4 binary64) y x) z))) |
(-.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -3/4 binary64) y x))) (fma.f64 (*.f64 #s(literal 9/16 binary64) y) (/.f64 y (fma.f64 #s(literal -3/4 binary64) y x)) z)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (*.f64 z (/.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))))) |
(-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) |
(-.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 z x)) |
(-.f64 x (fma.f64 #s(literal -3/4 binary64) y z)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) (-.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) x) (*.f64 x x))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) (-.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) x) (*.f64 x x)))) |
(+.f64 (-.f64 x z) (*.f64 #s(literal 3/4 binary64) y)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/16 binary64) y) y (*.f64 x (fma.f64 #s(literal -3/4 binary64) y x)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/16 binary64) y) y (*.f64 x (fma.f64 #s(literal -3/4 binary64) y x)))) z)) |
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) |
(+.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) x) |
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z)) |
(+.f64 x (-.f64 (*.f64 #s(literal 3/4 binary64) y) z)) |
Compiled 10 654 to 1 486 computations (86.1% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 301 | 9 | 310 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 302 | 9 | 311 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
| 38.3% | (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal -4 binary64) z)) y)) | |
| ▶ | 100.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) |
| 69.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) | |
| ▶ | 68.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ▶ | 39.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| 33.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) | |
| 89.4% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) z)) z)) | |
| ▶ | 32.9% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
Compiled 344 to 280 computations (18.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 3/4 binary64) y x) | |
| cost-diff | 0 | (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) | |
| cost-diff | 1 | (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) | |
| cost-diff | 2 | (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (/.f64 (-.f64 x z) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (/.f64 (-.f64 x z) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 163 |
| 0 | 38 | 152 |
| 1 | 71 | 152 |
| 2 | 126 | 152 |
| 3 | 252 | 139 |
| 4 | 617 | 139 |
| 5 | 1078 | 139 |
| 6 | 1346 | 139 |
| 7 | 1509 | 139 |
| 8 | 1805 | 139 |
| 9 | 2403 | 139 |
| 10 | 2850 | 139 |
| 11 | 3122 | 139 |
| 12 | 3582 | 139 |
| 13 | 4011 | 139 |
| 14 | 4349 | 139 |
| 15 | 4594 | 139 |
| 16 | 4838 | 139 |
| 17 | 4976 | 139 |
| 18 | 5069 | 139 |
| 19 | 5157 | 139 |
| 20 | 5236 | 139 |
| 21 | 5301 | 139 |
| 22 | 5391 | 139 |
| 23 | 5433 | 139 |
| 24 | 5445 | 139 |
| 25 | 5465 | 139 |
| 26 | 5485 | 139 |
| 27 | 5505 | 139 |
| 0 | 5505 | 139 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
#s(literal 4 binary64) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) |
(-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) |
(fma.f64 #s(literal 3/4 binary64) y x) |
#s(literal 3/4 binary64) |
y |
x |
z |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 4 binary64))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
#s(literal 4 binary64) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 4 binary64)) |
(/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) |
(-.f64 (/.f64 (-.f64 x z) y) #s(literal -3/4 binary64)) |
(-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(fma.f64 #s(literal 3/4 binary64) y x) |
#s(literal 3/4 binary64) |
y |
x |
z |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 #s(literal 3/4 binary64) y x) | |
| accuracy | 0.00390625 | (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.03515625 | (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) | |
| accuracy | 0.0546875 | (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) | |
| accuracy | 0.0 | (-.f64 x z) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) | |
| accuracy | 0.015625 | (/.f64 (-.f64 x z) y) | |
| accuracy | 20.085350398135365 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.017910009768442016 | (*.f64 (/.f64 x y) #s(literal 4 binary64)) | |
| accuracy | 38.852753214020716 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) | |
| accuracy | 42.95183824923285 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) | |
| accuracy | 0.0 | (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) | |
| accuracy | 0.0 | (-.f64 x z) | |
| accuracy | 0.0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) | |
| accuracy | 0.015625 | (/.f64 (-.f64 x z) y) |
| 85.0ms | 231× | 0 | valid |
| 23.0ms | 6× | 3 | valid |
| 4.0ms | 10× | 2 | valid |
| 3.0ms | 9× | 1 | valid |
Compiled 146 to 26 computations (82.2% saved)
ival-mult: 42.0ms (46.7% of total)adjust: 22.0ms (24.4% of total)ival-add: 14.0ms (15.6% of total)ival-div: 7.0ms (7.8% of total)ival-sub: 4.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) |
(-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) |
(fma.f64 #s(literal 3/4 binary64) y x) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(+ 4 (* -4 (/ z y))) |
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* -1 z) |
(- x z) |
(* 4 (/ x y)) |
(/ x y) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/ (- (* 3/4 y) z) y) |
(- (+ 3/4 (/ x y)) (/ z y)) |
(- (* 3/4 y) z) |
(- (+ x (* 3/4 y)) z) |
(* 3/4 y) |
(+ x (* 3/4 y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (- (+ (* 3/4 (/ 1 x)) (/ 1 y)) (/ z (* x y)))) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(* x (+ 1 (* 3/4 (/ y x)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 3/4 (/ z y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (- x z) y) |
(/ (- (+ x (* 3/4 y)) z) y) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
3/4 |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(* y (+ 3/4 (/ x y))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ 4 (* 4 (/ x y))) |
(+ x (* -1 z)) |
(/ (+ x (* 3/4 y)) y) |
(+ 3/4 (+ (* -1 (/ z y)) (/ x y))) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y)))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (/ x z) 1)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (+ (* 3/4 (/ 1 z)) (/ x (* y z))) (/ 1 y))) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 3/4 (/ x y)) z)) (/ 1 y)))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (+ (* (/ (- (+ (* 3/4 y) x) z) y) 4) 1) (/ (- (+ (* 3/4 y) x) z) y) (- (+ (* 3/4 y) x) z) (+ (* 3/4 y) x)) |
| 3.0ms | z | @ | 0 | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (+ (* (/ (- (+ (* 3/4 y) x) z) y) 4) 1) (/ (- (+ (* 3/4 y) x) z) y) (- (+ (* 3/4 y) x) z) (+ (* 3/4 y) x)) |
| 2.0ms | x | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (+ (* (/ (- (+ (* 3/4 y) x) z) y) 4) 1) (/ (- (+ (* 3/4 y) x) z) y) (- (+ (* 3/4 y) x) z) (+ (* 3/4 y) x)) |
| 2.0ms | x | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (+ (* (/ (- (+ (* 3/4 y) x) z) y) 4) 1) (/ (- (+ (* 3/4 y) x) z) y) (- (+ (* 3/4 y) x) z) (+ (* 3/4 y) x)) |
| 2.0ms | y | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (+ (* (/ (- (+ (* 3/4 y) x) z) y) 4) 1) (/ (- (+ (* 3/4 y) x) z) y) (- (+ (* 3/4 y) x) z) (+ (* 3/4 y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 635 |
| 1 | 619 | 591 |
| 2 | 2031 | 523 |
| 3 | 7100 | 522 |
| 0 | 8005 | 491 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(+ 4 (* -4 (/ z y))) |
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* -1 z) |
(- x z) |
(* 4 (/ x y)) |
(/ x y) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/ (- (* 3/4 y) z) y) |
(- (+ 3/4 (/ x y)) (/ z y)) |
(- (* 3/4 y) z) |
(- (+ x (* 3/4 y)) z) |
(* 3/4 y) |
(+ x (* 3/4 y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (- (+ (* 3/4 (/ 1 x)) (/ 1 y)) (/ z (* x y)))) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(* x (+ 1 (* 3/4 (/ y x)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 3/4 (/ z y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (- x z) y) |
(/ (- (+ x (* 3/4 y)) z) y) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
3/4 |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(* y (+ 3/4 (/ x y))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ 4 (* 4 (/ x y))) |
(+ x (* -1 z)) |
(/ (+ x (* 3/4 y)) y) |
(+ 3/4 (+ (* -1 (/ z y)) (/ x y))) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y)))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (/ x z) 1)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (+ (* 3/4 (/ 1 z)) (/ x (* y z))) (/ 1 y))) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 3/4 (/ x y)) z)) (/ 1 y)))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(fma.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(+ 4 (* -4 (/ z y))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/ x y) |
(/.f64 x y) |
(* -4 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ (- (* 3/4 y) z) y) |
(-.f64 #s(literal 3/4 binary64) (/.f64 z y)) |
(- (+ 3/4 (/ x y)) (/ z y)) |
(-.f64 (/.f64 (-.f64 x z) y) #s(literal -3/4 binary64)) |
(- (* 3/4 y) z) |
(-.f64 (*.f64 #s(literal 3/4 binary64) y) z) |
(- (+ x (* 3/4 y)) z) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(* 3/4 y) |
(*.f64 #s(literal 3/4 binary64) y) |
(+ x (* 3/4 y)) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(/.f64 (-.f64 x z) y) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* x (- (+ (* 3/4 (/ 1 x)) (/ 1 y)) (/ z (* x y)))) |
(-.f64 (/.f64 (-.f64 x z) y) #s(literal -3/4 binary64)) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(* x (+ 1 (* 3/4 (/ y x)))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x (fma.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x (fma.f64 (/.f64 #s(literal 4 binary64) y) z #s(literal -4 binary64)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x z) y) |
(* -1 (* x (- (/ z x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z x) #s(literal 1 binary64))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* -1 (* x (- (* -1 (/ (- 3/4 (/ z y)) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -3/4 binary64) y z) y) x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal -3/4 binary64) y z) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(* 4 (/ (- x z) y)) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- (+ x (* 3/4 y)) z) y) |
(-.f64 (/.f64 (-.f64 x z) y) #s(literal -3/4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
3/4 |
#s(literal 3/4 binary64) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(fma.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) y x) |
(* y (+ 3/4 (/ x y))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal -1 binary64) #s(literal -3/4 binary64))) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 3/4 binary64))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ x y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(+ x (* -1 z)) |
(-.f64 x z) |
(/ (+ x (* 3/4 y)) y) |
(-.f64 (/.f64 x y) #s(literal -3/4 binary64)) |
(+ 3/4 (+ (* -1 (/ z y)) (/ x y))) |
(-.f64 (/.f64 (-.f64 x z) y) #s(literal -3/4 binary64)) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) y)) z) |
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) y)) z) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z) |
(* z (- (/ x z) 1)) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z) |
(* z (- (+ (* 3/4 (/ 1 z)) (/ x (* y z))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -3/4 binary64)) z) (/.f64 #s(literal 1 binary64) y)) z) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) y)) z) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) y)) z) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(*.f64 (/.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) y) z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) z (neg.f64 z)) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z) |
(* -1 (* z (+ (* -1 (/ (+ 3/4 (/ x y)) z)) (/ 1 y)))) |
(neg.f64 (fma.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 x y)) (/.f64 z z) (/.f64 z y))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) z (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 137 |
| 0 | 38 | 129 |
| 1 | 182 | 129 |
| 2 | 1173 | 129 |
| 0 | 8221 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) |
(-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) |
(fma.f64 #s(literal 3/4 binary64) y x) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) |
(*.f64 (+.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (neg.f64 (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)) (*.f64 (neg.f64 (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))))) (*.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))))))) |
(/.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (neg.f64 (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (fma.f64 (*.f64 (neg.f64 (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)) (*.f64 (neg.f64 (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))) #s(literal 64 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))))) |
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 64 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64)))) |
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (-.f64 x z)) (/.f64 #s(literal 4 binary64) y))) |
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (/.f64 (-.f64 x z) y)) #s(literal 4 binary64))) |
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y))) |
(+.f64 (/.f64 #s(literal 64 binary64) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) (/.f64 #s(literal 64 binary64) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))))) |
(+.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))))) |
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 x z) y))) #s(literal 4 binary64))) |
(+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (+.f64 z x) (+.f64 z x)) (/.f64 (-.f64 x z) y)) |
(*.f64 (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (-.f64 x z) y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y))) (neg.f64 (/.f64 (+.f64 z x) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x z)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z))) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (fma.f64 x y (*.f64 (neg.f64 y) z))) (neg.f64 (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) y) (*.f64 (neg.f64 (neg.f64 y)) z)) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 z))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y)) (/.f64 (+.f64 z x) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (*.f64 (+.f64 z x) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x z))) (neg.f64 (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 x y (*.f64 (neg.f64 y) z)) (*.f64 y y)) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 (+.f64 z x) y)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y)) |
(/.f64 (neg.f64 (-.f64 x z)) (neg.f64 y)) |
(/.f64 (-.f64 x z) y) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x z)) y)) |
(neg.f64 (/.f64 (-.f64 x z) (neg.f64 y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 z x) y)) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (/.f64 (+.f64 z x) y))) |
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(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 3/4 binary64) y))) (/.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal 3/4 binary64)) (*.f64 #s(literal 3/4 binary64) y)) (-.f64 x (*.f64 #s(literal 3/4 binary64) y)))) |
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x) |
(+.f64 x (*.f64 #s(literal -3/4 binary64) (neg.f64 y))) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) #s(literal 3/4 binary64))) |
(+.f64 x (*.f64 #s(literal 3/4 binary64) y)) |
Compiled 16 362 to 1 811 computations (88.9% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 421 | 4 | 425 |
| Fresh | 3 | 1 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 426 | 8 | 434 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) |
| ▶ | 69.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
| ✓ | 68.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ✓ | 39.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| ▶ | 65.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) |
| ▶ | 55.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z))) |
| ▶ | 33.9% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
| ✓ | 32.9% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
Compiled 317 to 243 computations (23.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) | |
| cost-diff | 0 | #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z))) | |
| cost-diff | 3 | (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (*.f64 (/.f64 z y) #s(literal -4 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 264 |
| 0 | 50 | 264 |
| 1 | 92 | 262 |
| 2 | 175 | 262 |
| 3 | 364 | 262 |
| 4 | 827 | 234 |
| 5 | 1939 | 228 |
| 6 | 4950 | 228 |
| 0 | 8043 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
(-.f64 x z) |
x |
z |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(/.f64 z y) |
z |
y |
#s(literal -4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) |
#s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(/.f64 z y) |
z |
y |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
x |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z))) |
#s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) |
(/.f64 #s(literal 4 binary64) z) |
#s(literal 4 binary64) |
z |
x |
#s(literal -4 binary64) |
y |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 4 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
(-.f64 x z) |
x |
z |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 #s(literal -4 binary64) (/.f64 z y)))) |
#s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
#s(approx (* (/ (- x z) y) 4) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
#s(literal -4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)))) |
#s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) |
(/.f64 z y) |
z |
y |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
x |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))) |
#s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z)) |
#s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) |
(/.f64 #s(literal 4 binary64) z) |
#s(literal 4 binary64) |
z |
x |
#s(literal -4 binary64) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11556625976844202 | (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) | |
| accuracy | 2.6708409523426573 | (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) | |
| accuracy | 6.549756248630125 | (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z) | |
| accuracy | 20.085350398135365 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z))) | |
| accuracy | 0.0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 0.1015625 | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) | |
| accuracy | 19.597191886645042 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) | |
| accuracy | 0.0 | (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) | |
| accuracy | 0.0 | (/.f64 z y) | |
| accuracy | 0.0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) | |
| accuracy | 22.19336900289018 | #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) | |
| accuracy | 0.0 | (/.f64 z y) | |
| accuracy | 0.028007519536884032 | (*.f64 (/.f64 z y) #s(literal -4 binary64)) | |
| accuracy | 20.085350398135365 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) | |
| accuracy | 29.98014298508758 | #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 0.0 | (-.f64 x z) | |
| accuracy | 0.0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) | |
| accuracy | 0.125 | (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
| 163.0ms | 256× | 0 | valid |
Compiled 182 to 32 computations (82.4% saved)
ival-mult: 27.0ms (43.3% of total)ival-div: 24.0ms (38.5% of total)ival-add: 8.0ms (12.8% of total)ival-sub: 2.0ms (3.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
(-.f64 x z) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(/.f64 z y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) |
#s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z))) |
#s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z)) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(+ 4 (* -4 (/ z y))) |
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(* -1 z) |
(- x z) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
4 |
(+ 4 (* 4 (/ x y))) |
(/ -4 y) |
(- (* 4 (/ x (* y z))) (* 4 (/ 1 y))) |
-4 |
(- (* 4 (/ x z)) 4) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(* 4 (/ x (* y z))) |
(* x (- (* 4 (/ 1 (* y z))) (* 4 (/ 1 (* x y))))) |
(* 4 (/ x z)) |
(* x (- (* 4 (/ 1 z)) (* 4 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(* -1 (* x (- (* 4 (/ 1 (* x y))) (* 4 (/ 1 (* y z)))))) |
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 z))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ 4 y) |
(/ z y) |
(/ (+ (* -4 z) (* 4 y)) y) |
(/ (+ (* 4 x) (* 4 y)) y) |
(/ (* z (- (* 4 (/ x z)) 4)) y) |
(/ (- (* 4 (/ x z)) 4) y) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ x (* -1 z)) |
(/ (+ (* -4 (/ z y)) (* 4 (/ x y))) z) |
(/ (+ (* -4 z) (* 4 x)) z) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y)))) |
(* z (- (/ x z) 1)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 4) (/ 4 y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (+ (* (/ z y) -4) 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) x) 4) (* (/ (+ (* (/ 4 z) x) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (+ (* (/ 4 z) x) -4) y) (+ (* (/ 4 z) x) -4)) |
| 3.0ms | y | @ | 0 | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 4) (/ 4 y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (+ (* (/ z y) -4) 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) x) 4) (* (/ (+ (* (/ 4 z) x) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (+ (* (/ 4 z) x) -4) y) (+ (* (/ 4 z) x) -4)) |
| 3.0ms | y | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 4) (/ 4 y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (+ (* (/ z y) -4) 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) x) 4) (* (/ (+ (* (/ 4 z) x) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (+ (* (/ 4 z) x) -4) y) (+ (* (/ 4 z) x) -4)) |
| 2.0ms | x | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 4) (/ 4 y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (+ (* (/ z y) -4) 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) x) 4) (* (/ (+ (* (/ 4 z) x) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (+ (* (/ 4 z) x) -4) y) (+ (* (/ 4 z) x) -4)) |
| 2.0ms | z | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 4) (/ 4 y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ (- x z) y) 4) 4) (+ (* (/ z y) -4) 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) x) 4) (* (/ (+ (* (/ 4 z) x) -4) y) z) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (+ (* (/ 4 z) x) -4) y) (+ (* (/ 4 z) x) -4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 496 |
| 1 | 512 | 434 |
| 2 | 1653 | 381 |
| 3 | 6116 | 381 |
| 0 | 8008 | 348 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(+ 4 (* -4 (/ z y))) |
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(* -1 z) |
(- x z) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
4 |
(+ 4 (* 4 (/ x y))) |
(/ -4 y) |
(- (* 4 (/ x (* y z))) (* 4 (/ 1 y))) |
-4 |
(- (* 4 (/ x z)) 4) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(* 4 (/ x (* y z))) |
(* x (- (* 4 (/ 1 (* y z))) (* 4 (/ 1 (* x y))))) |
(* 4 (/ x z)) |
(* x (- (* 4 (/ 1 z)) (* 4 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(* -1 (* x (- (* 4 (/ 1 (* x y))) (* 4 (/ 1 (* y z)))))) |
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 z))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ 4 y) |
(/ z y) |
(/ (+ (* -4 z) (* 4 y)) y) |
(/ (+ (* 4 x) (* 4 y)) y) |
(/ (* z (- (* 4 (/ x z)) 4)) y) |
(/ (- (* 4 (/ x z)) 4) y) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ x (* -1 z)) |
(/ (+ (* -4 (/ z y)) (* 4 (/ x y))) z) |
(/ (+ (* -4 z) (* 4 x)) z) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y)))) |
(* z (- (/ x z) 1)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(fma.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(+ 4 (* -4 (/ z y))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 4 binary64)) |
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(* -4 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 (/ x y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(- (* 4 (/ x (* y z))) (* 4 (/ 1 y))) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) y) |
-4 |
#s(literal -4 binary64) |
(- (* 4 (/ x z)) 4) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(* 4 (/ x (* y z))) |
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 4 binary64)) |
(* x (- (* 4 (/ 1 (* y z))) (* 4 (/ 1 (* x y))))) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) y) |
(* 4 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 4 binary64)) |
(* x (- (* 4 (/ 1 z)) (* 4 (/ 1 x)))) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x (fma.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* -1 (* x (- (/ z x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z x) #s(literal 1 binary64))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(* -1 (* x (- (* 4 (/ 1 (* x y))) (* 4 (/ 1 (* y z)))))) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) y) |
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) |
(* 4 (/ (- x z) y)) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ z y) |
(/.f64 z y) |
(/ (+ (* -4 z) (* 4 y)) y) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 4 binary64)) |
(/ (+ (* 4 x) (* 4 y)) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(/ (* z (- (* 4 (/ x z)) 4)) y) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ (- (* 4 (/ x z)) 4) y) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) y) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(+ x (* -1 z)) |
(-.f64 x z) |
(/ (+ (* -4 (/ z y)) (* 4 (/ x y))) z) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) y) |
(/ (+ (* -4 z) (* 4 x)) z) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -4 binary64)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* z (- (/ x z) 1)) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 4 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 4 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 236 |
| 0 | 50 | 236 |
| 1 | 206 | 234 |
| 2 | 1540 | 234 |
| 0 | 8153 | 224 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
(-.f64 x z) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(/.f64 z y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) |
#s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z))) |
#s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z)) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) |
(*.f64 (+.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (neg.f64 (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)) (*.f64 (neg.f64 (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))) |
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (neg.f64 (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (*.f64 (neg.f64 (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)))) (+.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)))) |
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) y)) (-.f64 x z)) (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) y)) (-.f64 x z)))) (+.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) y)) (-.f64 x z)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))))) (*.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64))))))) |
(/.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (neg.f64 (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (fma.f64 (*.f64 (neg.f64 (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)) (*.f64 (neg.f64 (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))))) |
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(-.f64 #s(literal -4 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal 4 binary64) z))) |
(+.f64 (/.f64 #s(literal -64 binary64) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal -4 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal -4 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal -4 binary64))))) (/.f64 #s(literal -64 binary64) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal -4 binary64)))))) |
(+.f64 (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal -4 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal -4 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal -4 binary64))))) (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal -4 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) x) #s(literal -4 binary64)) |
(+.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) z) x)) |
Compiled 13 509 to 1 421 computations (89.5% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 286 | 0 | 286 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 286 | 8 | 294 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) |
| ✓ | 69.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
| ✓ | 68.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ✓ | 39.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| ✓ | 65.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) |
| ✓ | 55.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z))) |
| ✓ | 33.9% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
| ✓ | 32.9% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
Compiled 482 to 215 computations (55.4% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal -4 binary64) z)) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) z)) z)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) |
5 calls:
| 5.0ms | y |
| 5.0ms | z |
| 5.0ms | x |
| 4.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 4.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal -4 binary64) z)) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) |
5 calls:
| 35.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 4.0ms | y |
| 4.0ms | z |
| 3.0ms | x |
| 3.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 99.8% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal -4 binary64) z)) y)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
5 calls:
| 12.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 8.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 3 | x |
| 87.5% | 3 | y |
| 87.7% | 3 | z |
| 99.4% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 99.4% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 3.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 3 | x |
| 71.9% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 71.9% | 2 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 25 to 25 computations (0% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
3 calls:
| 5.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 1 | y |
| 70.3% | 3 | z |
| 85.8% | 3 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
4 calls:
| 4.0ms | z |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.2% | 4 | z |
| 71.3% | 4 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 71.3% | 4 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 64.4% | 6 | x |
Compiled 26 to 28 computations (-7.7% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
3 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 3 | y |
| 63.2% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 63.2% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 25 to 25 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
5 calls:
| 1.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.9% | 1 | y |
| 32.9% | 1 | z |
| 32.9% | 1 | x |
| 32.9% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 32.9% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 373.32789345195965 | 3277810510086671.5 |
| 0.0ms | -104334703947595.42 | 2.999529379369747 |
Compiled 16 to 18 computations (-12.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 155734119379.11716 | 167790690046160.9 |
| 42.0ms | -39304346415382.234 | -0.0004439008701733176 |
| 44.0ms | 288× | 0 | valid |
Compiled 916 to 738 computations (19.4% saved)
ival-mult: 29.0ms (79.5% of total)ival-add: 3.0ms (8.2% of total)ival-div: 2.0ms (5.5% of total)ival-sub: 1.0ms (2.7% of total)exact: 1.0ms (2.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 3.3516857552043274e+76 | 2.7431819397555402e+82 |
| 20.0ms | -1.3151978291160345e+149 | -1.77111507775004e+145 |
| 23.0ms | 272× | 0 | valid |
Compiled 849 to 698 computations (17.8% saved)
ival-add: 8.0ms (49.1% of total)ival-mult: 4.0ms (24.5% of total)ival-div: 2.0ms (12.3% of total)ival-sub: 1.0ms (6.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 373.32789345195965 | 3277810510086671.5 |
| 0.0ms | -104334703947595.42 | 2.999529379369747 |
| 0.0ms | -5.669028092311609e+236 | -1.1493345438848833e+235 |
Compiled 16 to 18 computations (-12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.4844441139250705e+20 | 2.5839211654473552e+33 |
| 0.0ms | -104334703947595.42 | 2.999529379369747 |
Compiled 16 to 18 computations (-12.5% saved)
| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 431 |
| 1 | 109 | 431 |
| 2 | 153 | 431 |
| 3 | 254 | 431 |
| 4 | 542 | 431 |
| 5 | 1174 | 403 |
| 6 | 2288 | 403 |
| 7 | 4940 | 403 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 500 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))) |
(if (<=.f64 x #s(literal -126000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) (if (<=.f64 x #s(literal 44000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))))) |
(if (<=.f64 x #s(literal -77999999999999995267053200437850926379141631030813414961392215098714153474388600700592248962493642222149771095108031072607760193917943268914495488 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 749999999999999993617555756027930405410641278629604048305046368366853738477912064 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -499999999999999970102730657165474578819517884669697781640770412320644082446569662475873607343495247333807664186025665280190212291222751131192523497883201241303896750127789047056565704533819250109131739322386848885414656951827349593128960 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 500 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 400000000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 500 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))) |
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 500 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))))) |
(if (<=.f64 x #s(literal -126000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) (if (<=.f64 x #s(literal 44000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))))) |
(if (or (<=.f64 x #s(literal -126000 binary64)) (not (<=.f64 x #s(literal 44000000000000 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))))) |
(if (<=.f64 x #s(literal -77999999999999995267053200437850926379141631030813414961392215098714153474388600700592248962493642222149771095108031072607760193917943268914495488 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 749999999999999993617555756027930405410641278629604048305046368366853738477912064 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))))) |
(if (or (<=.f64 x #s(literal -77999999999999995267053200437850926379141631030813414961392215098714153474388600700592248962493642222149771095108031072607760193917943268914495488 binary64)) (not (<=.f64 x #s(literal 749999999999999993617555756027930405410641278629604048305046368366853738477912064 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 4) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -499999999999999970102730657165474578819517884669697781640770412320644082446569662475873607343495247333807664186025665280190212291222751131192523497883201241303896750127789047056565704533819250109131739322386848885414656951827349593128960 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 500 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -499999999999999970102730657165474578819517884669697781640770412320644082446569662475873607343495247333807664186025665280190212291222751131192523497883201241303896750127789047056565704533819250109131739322386848885414656951827349593128960 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) (if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 500 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 400000000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))))) |
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 400000000000000000000 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 547 |
| 1 | 465 | 526 |
| 2 | 1418 | 501 |
| 3 | 5289 | 500 |
| 0 | 8276 | 452 |
| 0 | 191 | 635 |
| 1 | 619 | 591 |
| 2 | 2031 | 523 |
| 3 | 7100 | 522 |
| 0 | 8005 | 491 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 511 to 180 computations (64.8% saved)
Compiled 888 to 176 computations (80.2% saved)
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