
Time bar (total: 10.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 6 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 7 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 8 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 9 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 10 |
| 65.6% | 65.5% | 34.3% | 0.2% | 0% | 0% | 0% | 11 |
| 76.6% | 76.4% | 23.4% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 621.0ms | 8 256× | 0 | valid |
ival-div: 139.0ms (34.3% of total)ival-mult: 131.0ms (32.3% of total)ival-sub: 81.0ms (20% of total)ival-add: 40.0ms (9.9% of total)ival-true: 6.0ms (1.5% of total)exact: 5.0ms (1.2% of total)ival-assert: 3.0ms (0.7% of total)| 1× | egg-herbie |
| 2 112× | lower-fma.f64 |
| 2 112× | lower-fma.f32 |
| 1 152× | lower-*.f32 |
| 1 148× | lower-*.f64 |
| 1 100× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 222 |
| 1 | 209 | 210 |
| 2 | 609 | 210 |
| 3 | 1702 | 174 |
| 4 | 4679 | 168 |
| 5 | 7740 | 168 |
| 0 | 11 | 15 |
| 0 | 17 | 15 |
| 1 | 30 | 15 |
| 2 | 69 | 15 |
| 3 | 139 | 15 |
| 4 | 327 | 15 |
| 5 | 736 | 13 |
| 6 | 2052 | 11 |
| 7 | 2750 | 11 |
| 8 | 3078 | 11 |
| 9 | 3329 | 11 |
| 10 | 3509 | 11 |
| 11 | 3525 | 11 |
| 12 | 3586 | 11 |
| 13 | 3702 | 11 |
| 14 | 3752 | 11 |
| 15 | 3764 | 11 |
| 16 | 3764 | 11 |
| 17 | 3764 | 11 |
| 18 | 3764 | 11 |
| 0 | 3764 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| Outputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 23 | 0 | - | 1 | (1.2308372222585267e+119 4.0360640589057455e-254 1.231471305631422e-68 -3.8126853348249655e-162) | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
| 1 | 0 | - | 0 | - | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 0 | 0 | - | 0 | - | (/.f64 y (*.f64 z #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 z #s(literal 3 binary64)) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) | n/u | 12 | 0 |
| ↳ | (*.f64 (*.f64 z #s(literal 3 binary64)) y) | underflow | 30 | |
+.f64 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | nan-rescue | 1 | 0 |
| ↳ | (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) | overflow | 37 | |
| ↳ | (/.f64 y (*.f64 z #s(literal 3 binary64))) | overflow | 37 | |
| ↳ | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) | overflow | 38 | |
| ↳ | (*.f64 (*.f64 z #s(literal 3 binary64)) y) | overflow | 38 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 13 | 1 |
| - | 0 | 242 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 13 | 0 | 1 |
| - | 0 | 0 | 242 |
| number | freq |
|---|---|
| 0 | 243 |
| 1 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 65.0ms | 512× | 0 | valid |
Compiled 136 to 48 computations (64.7% saved)
ival-div: 7.0ms (34.5% of total)ival-mult: 7.0ms (34.5% of total)ival-sub: 3.0ms (14.8% of total)ival-add: 2.0ms (9.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.8% | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (*.f64 z #s(literal 3 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
| ✓ | cost-diff | 640 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 2 112× | lower-fma.f64 |
| 2 112× | lower-fma.f32 |
| 1 152× | lower-*.f32 |
| 1 148× | lower-*.f64 |
| 722× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 0 | 17 | 47 |
| 1 | 30 | 47 |
| 2 | 69 | 47 |
| 3 | 139 | 47 |
| 4 | 327 | 47 |
| 5 | 736 | 45 |
| 6 | 2052 | 43 |
| 7 | 2750 | 43 |
| 8 | 3078 | 43 |
| 9 | 3329 | 43 |
| 10 | 3509 | 43 |
| 11 | 3525 | 43 |
| 12 | 3586 | 43 |
| 13 | 3702 | 43 |
| 14 | 3752 | 43 |
| 15 | 3764 | 43 |
| 16 | 3764 | 43 |
| 17 | 3764 | 43 |
| 18 | 3764 | 43 |
| 0 | 3764 | 41 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
x |
(/.f64 y (*.f64 z #s(literal 3 binary64))) |
y |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
t |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
| Outputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(/.f64 y (*.f64 z #s(literal 3 binary64))) |
y |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
(/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
t |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 y (*.f64 z #s(literal 3 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 z #s(literal 3 binary64)) y) |
| ✓ | accuracy | 99.7% | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| ✓ | accuracy | 91.4% | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
| 20.0ms | 256× | 0 | valid |
Compiled 49 to 13 computations (73.5% saved)
ival-div: 4.0ms (39.2% of total)ival-mult: 3.0ms (29.4% of total)ival-sub: 1.0ms (9.8% of total)ival-add: 1.0ms (9.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))> |
#<alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))> |
#<alt (/.f64 y (*.f64 z #s(literal 3 binary64)))> |
#<alt (*.f64 z #s(literal 3 binary64))> |
#<alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))> |
#<alt (*.f64 (*.f64 z #s(literal 3 binary64)) y)> |
| Outputs |
|---|
#<alt (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))> |
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))> |
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))> |
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))> |
#<alt x> |
#<alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))> |
#<alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))> |
#<alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (/ (+ (* 1/3 (/ t z)) (* x y)) y)> |
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)> |
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)> |
#<alt (* -1/3 (/ y z))> |
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))> |
#<alt (/ (- (* 1/3 (/ t y)) (* 1/3 y)) z)> |
#<alt (/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)> |
#<alt (/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)> |
#<alt (/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)> |
#<alt x> |
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))> |
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))> |
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))> |
#<alt (+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))> |
#<alt (+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))> |
#<alt (- x (* 1/3 (/ y z)))> |
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))> |
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))> |
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))> |
#<alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))> |
#<alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (- x (* 1/3 (/ y z)))> |
#<alt (- x (* 1/3 (/ y z)))> |
#<alt (- x (* 1/3 (/ y z)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))> |
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))> |
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))> |
#<alt x> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (/ (- (* x z) (* 1/3 y)) z)> |
#<alt (/ (- (* x z) (* 1/3 y)) z)> |
#<alt (/ (- (* x z) (* 1/3 y)) z)> |
#<alt x> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt x> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (* (* z 3) y) |
| 2.0ms | z | @ | inf | (* z 3) |
| 1.0ms | z | @ | 0 | (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) |
| 1.0ms | x | @ | 0 | (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) |
| 1.0ms | t | @ | inf | (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) |
| 1× | batch-egg-rewrite |
| 10 320× | lower-fma.f64 |
| 10 320× | lower-fma.f32 |
| 6 744× | lower-*.f32 |
| 6 740× | lower-*.f64 |
| 4 744× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 0 | 17 | 42 |
| 1 | 69 | 42 |
| 2 | 861 | 38 |
| 0 | 9318 | 37 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(/.f64 y (*.f64 z #s(literal 3 binary64))) |
(*.f64 z #s(literal 3 binary64)) |
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
| Outputs |
|---|
(+.f64 x (neg.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) |
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(+.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(+.f64 (/.f64 y (*.f64 z #s(literal -3 binary64))) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
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(*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 t (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) |
(neg.f64 (*.f64 (*.f64 y z) #s(literal -3 binary64))) |
(/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 y z) #s(literal -3 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(*.f64 z (neg.f64 (*.f64 y #s(literal -3 binary64)))) |
(*.f64 #s(literal 3 binary64) (*.f64 y z)) |
(*.f64 #s(literal 3 binary64) (*.f64 z y)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
(*.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (*.f64 z #s(literal -3 binary64))) |
(*.f64 (*.f64 z #s(literal -3 binary64)) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) z) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) |
(*.f64 (neg.f64 z) (*.f64 y #s(literal -3 binary64))) |
(*.f64 (*.f64 y z) #s(literal 3 binary64)) |
(*.f64 (*.f64 z y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (neg.f64 z)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) z) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 3 binary64)) |
| 1× | egg-herbie |
| 10 462× | lower-fma.f64 |
| 10 462× | lower-fma.f32 |
| 3 274× | lower-*.f64 |
| 3 274× | lower-*.f32 |
| 2 252× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1412 |
| 1 | 307 | 1322 |
| 2 | 875 | 1322 |
| 3 | 2795 | 1262 |
| 4 | 6348 | 1262 |
| 0 | 8216 | 1196 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1/3 (/ y z)) |
(- x (* 1/3 (/ y z))) |
(- x (* 1/3 (/ y z))) |
(- x (* 1/3 (/ y z))) |
x |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1/3 (/ y z)) |
(/ (- (* x z) (* 1/3 y)) z) |
(/ (- (* x z) (* 1/3 y)) z) |
(/ (- (* x z) (* 1/3 y)) z) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
| Outputs |
|---|
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(/ (- (* x z) (* 1/3 y)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(/ (- (* x z) (* 1/3 y)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(/ (- (* x z) (* 1/3 y)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
Compiled 14 464 to 1 073 computations (92.6% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 534 | 14 | 548 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 535 | 14 | 549 |
| Status | Accuracy | Program |
|---|---|---|
| 94.7% | (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) | |
| ▶ | 94.7% | (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
| ▶ | 95.1% | (fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64)) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
| 64.8% | (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) | |
| ▶ | 85.1% | (fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
| 56.5% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y) | |
| 34.0% | (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) | |
| 94.7% | (-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64)))) | |
| 95.0% | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) | |
| 94.8% | (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | |
| 94.7% | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) | |
| 70.3% | (+.f64 (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | |
| ▶ | 71.7% | (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
| ▶ | 39.8% | (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
Compiled 436 to 292 computations (33% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) |
| ✓ | cost-diff | 640 | (fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
| ✓ | cost-diff | 0 | (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (/.f64 t (*.f64 y z)) |
| ✓ | cost-diff | 512 | (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
| ✓ | cost-diff | 0 | (/.f64 t y) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 t y) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) z) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/3 binary64) z) |
| ✓ | cost-diff | 0 | (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) |
| ✓ | cost-diff | 320 | (fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64)) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
| 12 732× | lower-fma.f32 |
| 12 724× | lower-fma.f64 |
| 5 198× | lower-*.f32 |
| 5 182× | lower-*.f64 |
| 2 546× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 170 |
| 0 | 53 | 169 |
| 1 | 92 | 167 |
| 2 | 214 | 163 |
| 3 | 481 | 163 |
| 4 | 1151 | 163 |
| 5 | 3126 | 163 |
| 6 | 6616 | 163 |
| 0 | 8206 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64)) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 y #s(literal 1/3 binary64)) |
y |
#s(literal 1/3 binary64) |
(+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
x |
(/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
t |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(*.f64 z #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
y |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
z |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(/.f64 #s(literal 1/3 binary64) z) |
#s(literal 1/3 binary64) |
z |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(/.f64 t (*.f64 y z)) |
t |
(*.f64 y z) |
y |
z |
#s(literal 1/3 binary64) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
x |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
x |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 z x)) |
#s(literal 1/3 binary64) |
(*.f64 z x) |
z |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64)) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(+.f64 (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 y #s(literal 1/3 binary64)) |
y |
#s(literal 1/3 binary64) |
(+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(+.f64 x (/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64))))) |
x |
(/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
(/.f64 t (*.f64 z (*.f64 y #s(literal 3 binary64)))) |
t |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(*.f64 z #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
y |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
z |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/.f64 #s(literal 1/3 binary64) z) |
#s(literal 1/3 binary64) |
z |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 z y)) |
t |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(literal 1/3 binary64) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
x |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (*.f64 z x)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 z x)) |
#s(literal 1/3 binary64) |
(*.f64 z x) |
z |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 z x) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) |
| ✓ | accuracy | 90.1% | (fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
| ✓ | accuracy | 86.2% | (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
| ✓ | accuracy | 99.6% | (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -1/3 binary64) z) |
| ✓ | accuracy | 91.5% | (/.f64 t (*.f64 y z)) |
| ✓ | accuracy | 100.0% | (/.f64 t y) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 t y) y) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/3 binary64) z) |
| ✓ | accuracy | 95.0% | (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
| ✓ | accuracy | 99.8% | (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -1/3 binary64) z) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64)) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
| ✓ | accuracy | 99.7% | (*.f64 y (*.f64 z #s(literal 3 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 y #s(literal 1/3 binary64)) |
| ✓ | accuracy | 91.4% | (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
| 80.0ms | 256× | 0 | valid |
Compiled 177 to 34 computations (80.8% saved)
ival-mult: 34.0ms (56.6% of total)ival-div: 13.0ms (21.7% of total)const: 6.0ms (10% of total)ival-add: 5.0ms (8.3% of total)ival-sub: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64)) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))))> |
#<alt (/.f64 #s(literal -1 binary64) z)> |
#<alt (*.f64 y #s(literal 1/3 binary64))> |
#<alt (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))> |
#<alt (*.f64 y (/.f64 #s(literal -1/3 binary64) z))> |
#<alt (/.f64 #s(literal -1/3 binary64) z)> |
#<alt (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))> |
#<alt (/.f64 #s(literal 1/3 binary64) z)> |
#<alt (-.f64 (/.f64 t y) y)> |
#<alt (/.f64 t y)> |
#<alt (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))> |
#<alt (/.f64 t (*.f64 y z))> |
#<alt (*.f64 y z)> |
#<alt (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)> |
#<alt (fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x)> |
#<alt (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y))> |
#<alt (/.f64 #s(literal 1/3 binary64) (*.f64 z x))> |
#<alt (*.f64 z x)> |
#<alt (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))> |
#<alt (*.f64 y (*.f64 z #s(literal 3 binary64)))> |
| Outputs |
|---|
#<alt (/ (+ (* -1/3 y) (* 1/3 (/ t y))) z)> |
#<alt (/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z)> |
#<alt (/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z)> |
#<alt (/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z)> |
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#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))> |
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z)))> |
#<alt (+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z)))> |
#<alt (+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
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#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))> |
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#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))> |
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#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1)))> |
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#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))> |
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#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))> |
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#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))> |
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#<alt (* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z))))))> |
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#<alt (* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z))))))> |
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#<alt (/ (+ (* 1/3 (/ t z)) (* x y)) y)> |
#<alt (/ (+ (* 1/3 (/ t z)) (* x y)) y)> |
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#<alt (/ (+ (* 1/3 (/ t y)) (* x z)) z)> |
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#<alt (/ (+ (* 1/3 (/ t y)) (* x z)) z)> |
#<alt x> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt x> |
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#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
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#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
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#<alt (* -1/3 (/ y z))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
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#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (* -1/3 (/ y z))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (* -1 y)> |
#<alt (- (/ t y) y)> |
#<alt (- (/ t y) y)> |
#<alt (- (/ t y) y)> |
#<alt (/ t y)> |
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))> |
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))> |
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))> |
#<alt (/ t y)> |
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))> |
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))> |
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))> |
#<alt (/ t y)> |
#<alt (/ (+ t (* -1 (pow y 2))) y)> |
#<alt (/ (+ t (* -1 (pow y 2))) y)> |
#<alt (/ (+ t (* -1 (pow y 2))) y)> |
#<alt (* -1 y)> |
#<alt (* y (- (/ t (pow y 2)) 1))> |
#<alt (* y (- (/ t (pow y 2)) 1))> |
#<alt (* y (- (/ t (pow y 2)) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
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#<alt (/ t y)> |
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#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))> |
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))> |
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (/ (+ (* 1/3 (/ t z)) (* x y)) y)> |
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)> |
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)> |
#<alt (* -1/3 (/ y z))> |
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))> |
#<alt (/ (+ (* -1/3 y) (* 1/3 (/ t y))) z)> |
#<alt (/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z)> |
#<alt (/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z)> |
#<alt (/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z)> |
#<alt x> |
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))> |
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))> |
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z)))> |
#<alt (+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z)))> |
#<alt (+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z)))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))> |
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))> |
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z)))))))> |
#<alt (* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z)))))))> |
#<alt (* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z)))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1)))> |
#<alt (/ t (* y z))> |
#<alt (/ t (* y z))> |
#<alt (/ t (* y z))> |
#<alt (/ t (* y z))> |
#<alt (/ t (* y z))> |
#<alt (/ t (* y z))> |
#<alt (/ t (* y z))> |
#<alt (/ t (* y z))> |
#<alt (/ t (* y z))> |
#<alt (/ t (* y z))> |
#<alt (/ t (* y z))> |
#<alt (/ t (* y z))> |
#<alt (/ t (* y z))> |
#<alt (/ t (* y z))> |
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#<alt (/ t (* y z))> |
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#<alt (/ t (* y z))> |
#<alt (/ t (* y z))> |
#<alt (* y z)> |
#<alt (* y z)> |
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#<alt (+ x (* -1/3 (/ y z)))> |
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#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (/ (+ (* -1/3 y) (* x z)) z)> |
#<alt (/ (+ (* -1/3 y) (* x z)) z)> |
#<alt (/ (+ (* -1/3 y) (* x z)) z)> |
#<alt x> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt x> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (* -1/3 (/ y z))> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))> |
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))> |
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))> |
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))> |
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z)))))> |
#<alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z)))))> |
#<alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1)))> |
#<alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1)))> |
#<alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1)))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (/ (+ (* 1/3 (- (/ t y) y)) (* x z)) z)> |
#<alt (/ (+ (* 1/3 (- (/ t y) y)) (* x z)) z)> |
#<alt (/ (+ (* 1/3 (- (/ t y) y)) (* x z)) z)> |
#<alt x> |
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))> |
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))> |
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))> |
#<alt x> |
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))> |
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))> |
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))> |
#<alt (+ x (* -1/3 (/ y z)))> |
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))> |
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))> |
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (/ (+ (* 1/3 (/ t z)) (* x y)) y)> |
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)> |
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)> |
#<alt (* -1/3 (/ y z))> |
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))> |
#<alt (* -1/3 (/ y (* x z)))> |
#<alt (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z)))))> |
#<alt (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z)))))> |
#<alt (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z)))))> |
#<alt (* 1/3 (/ t (* x (* y z))))> |
#<alt (* t (+ (* -1/3 (/ y (* t (* x z)))) (* 1/3 (/ 1 (* x (* y z))))))> |
#<alt (* t (+ (* -1/3 (/ y (* t (* x z)))) (* 1/3 (/ 1 (* x (* y z))))))> |
#<alt (* t (+ (* -1/3 (/ y (* t (* x z)))) (* 1/3 (/ 1 (* x (* y z))))))> |
#<alt (* 1/3 (/ t (* x (* y z))))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t (* x z)))) (* 1/3 (/ 1 (* x (* y z)))))))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t (* x z)))) (* 1/3 (/ 1 (* x (* y z)))))))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t (* x z)))) (* 1/3 (/ 1 (* x (* y z)))))))> |
#<alt (* 1/3 (/ t (* x (* y z))))> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) (* x z))) (* 1/3 (/ t (* x z)))) y)> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) (* x z))) (* 1/3 (/ t (* x z)))) y)> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) (* x z))) (* 1/3 (/ t (* x z)))) y)> |
#<alt (* -1/3 (/ y (* x z)))> |
#<alt (* y (- (* 1/3 (/ t (* x (* (pow y 2) z)))) (* 1/3 (/ 1 (* x z)))))> |
#<alt (* y (- (* 1/3 (/ t (* x (* (pow y 2) z)))) (* 1/3 (/ 1 (* x z)))))> |
#<alt (* y (- (* 1/3 (/ t (* x (* (pow y 2) z)))) (* 1/3 (/ 1 (* x z)))))> |
#<alt (* -1/3 (/ y (* x z)))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* x (* (pow y 2) z)))) (* 1/3 (/ 1 (* x z))))))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* x (* (pow y 2) z)))) (* 1/3 (/ 1 (* x z))))))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* x (* (pow y 2) z)))) (* 1/3 (/ 1 (* x z))))))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (/ 1/3 (* x z))> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
#<alt (* 3 (* y z))> |
150 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | t | @ | 0 | (* (/ 1/3 z) (- (/ t y) y)) |
| 3.0ms | y | @ | -inf | (/ t (* y (* z 3))) |
| 2.0ms | x | @ | 0 | (+ (* y (/ -1/3 z)) x) |
| 1.0ms | z | @ | 0 | (* (/ 1/3 (* z x)) (- (/ t y) y)) |
| 1.0ms | y | @ | -inf | (* (/ 1/3 (* z x)) (- (/ t y) y)) |
| 1× | batch-egg-rewrite |
| 9 908× | lower-fma.f32 |
| 9 900× | lower-fma.f64 |
| 5 332× | lower-/.f32 |
| 5 318× | lower-/.f64 |
| 4 212× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 131 |
| 0 | 53 | 134 |
| 1 | 202 | 128 |
| 2 | 1894 | 128 |
| 0 | 8487 | 127 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64)) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) z) |
(*.f64 y #s(literal 1/3 binary64)) |
(+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(/.f64 #s(literal -1/3 binary64) z) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(/.f64 #s(literal 1/3 binary64) z) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(/.f64 t (*.f64 y z)) |
(*.f64 y z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 z x)) |
(*.f64 z x) |
(/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
| Outputs |
|---|
(+.f64 x (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(+.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(+.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(+.f64 (/.f64 y (*.f64 z #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x)) |
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) x) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) (*.f64 z z)) (-.f64 (/.f64 (-.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 t y))) z) x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x)) (-.f64 (/.f64 (-.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 t y))) z) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) (*.f64 y (*.f64 z #s(literal 3 binary64))))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 t y)) (*.f64 y #s(literal -1/3 binary64))) z) x)) (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 t y)) (*.f64 y #s(literal -1/3 binary64))) z) x))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x)) (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x) (/.f64 y (*.f64 z #s(literal -3 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) (*.f64 z z)) (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x) (/.f64 y (*.f64 z #s(literal -3 binary64)))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) (/.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) (*.f64 y (*.f64 z #s(literal 3 binary64))))) (-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) (-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal 1/3 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x)) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 y) z) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x)) |
(fma.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) z) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x)) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 z y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 t) (*.f64 z y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) (/.f64 (neg.f64 t) y) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 y #s(literal -1 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x)) |
(fma.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x)) |
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| 1× | egg-herbie |
| 9 014× | lower-fma.f64 |
| 9 014× | lower-fma.f32 |
| 5 760× | lower-*.f64 |
| 5 760× | lower-*.f32 |
| 2 018× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 4642 |
| 1 | 555 | 4639 |
| 2 | 1701 | 4237 |
| 3 | 5956 | 4171 |
| 0 | 8269 | 3985 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* -1/3 y) (* 1/3 (/ t y))) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
x |
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x |
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(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
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(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
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(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
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(/ (+ t (* -1 (pow y 2))) y) |
(* -1 y) |
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(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
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x |
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(* 1/3 (/ t (* x (* y z)))) |
(* -1 (* t (- (* 1/3 (/ y (* t (* x z)))) (* 1/3 (/ 1 (* x (* y z))))))) |
(* -1 (* t (- (* 1/3 (/ y (* t (* x z)))) (* 1/3 (/ 1 (* x (* y z))))))) |
(* -1 (* t (- (* 1/3 (/ y (* t (* x z)))) (* 1/3 (/ 1 (* x (* y z))))))) |
(* 1/3 (/ t (* x (* y z)))) |
(/ (+ (* -1/3 (/ (pow y 2) (* x z))) (* 1/3 (/ t (* x z)))) y) |
(/ (+ (* -1/3 (/ (pow y 2) (* x z))) (* 1/3 (/ t (* x z)))) y) |
(/ (+ (* -1/3 (/ (pow y 2) (* x z))) (* 1/3 (/ t (* x z)))) y) |
(* -1/3 (/ y (* x z))) |
(* y (- (* 1/3 (/ t (* x (* (pow y 2) z)))) (* 1/3 (/ 1 (* x z))))) |
(* y (- (* 1/3 (/ t (* x (* (pow y 2) z)))) (* 1/3 (/ 1 (* x z))))) |
(* y (- (* 1/3 (/ t (* x (* (pow y 2) z)))) (* 1/3 (/ 1 (* x z))))) |
(* -1/3 (/ y (* x z))) |
(* -1 (* y (+ (* -1/3 (/ t (* x (* (pow y 2) z)))) (* 1/3 (/ 1 (* x z)))))) |
(* -1 (* y (+ (* -1/3 (/ t (* x (* (pow y 2) z)))) (* 1/3 (/ 1 (* x z)))))) |
(* -1 (* y (+ (* -1/3 (/ t (* x (* (pow y 2) z)))) (* 1/3 (/ 1 (* x z)))))) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(/ 1/3 (* x z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
| Outputs |
|---|
(/ (+ (* -1/3 y) (* 1/3 (/ t y))) z) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y) (*.f64 z x)) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y) (*.f64 z x)) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y) (*.f64 z x)) z) |
x |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
x |
(+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/.f64 (fma.f64 y (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/.f64 (fma.f64 y (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
x |
(* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t))) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t))) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t))) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
x |
(* x (+ 1 (* 1/3 (/ t (* x (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(* x (+ 1 (* 1/3 (/ t (* x (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(* x (+ 1 (* 1/3 (/ t (* x (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
x |
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* t (+ (* 1/3 (/ 1 (* y z))) (/ x t))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(* t (+ (* 1/3 (/ 1 (* y z))) (/ x t))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(* t (+ (* 1/3 (/ 1 (* y z))) (/ x t))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/ (+ (* 1/3 (/ t y)) (* x z)) z) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t y) (*.f64 z x)) z) |
(/ (+ (* 1/3 (/ t y)) (* x z)) z) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t y) (*.f64 z x)) z) |
(/ (+ (* 1/3 (/ t y)) (* x z)) z) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t y) (*.f64 z x)) z) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1/3 (/ y z)) |
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(/ 1/3 (* x z)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 z x)) |
(/ 1/3 (* x z)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 z x)) |
(/ 1/3 (* x z)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 z x)) |
(/ 1/3 (* x z)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 z x)) |
(/ 1/3 (* x z)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 z x)) |
(/ 1/3 (* x z)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 z x)) |
(/ 1/3 (* x z)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 z x)) |
(/ 1/3 (* x z)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 z x)) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
Compiled 43 778 to 2 772 computations (93.7% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 918 | 12 | 1 930 |
| Fresh | 5 | 4 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 927 | 17 | 1 944 |
| Status | Accuracy | Program |
|---|---|---|
| 64.8% | (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) | |
| 58.9% | (fma.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y (*.f64 z x)))) x) | |
| 56.5% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y) | |
| 71.7% | (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) | |
| 39.9% | (/.f64 (*.f64 y #s(literal -1/3 binary64)) z) | |
| 34.0% | (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) | |
| 39.8% | (/.f64 y (*.f64 z #s(literal -3 binary64))) | |
| 70.3% | (-.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 y (*.f64 z #s(literal 3 binary64)))) | |
| ▶ | 95.0% | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
| ▶ | 71.7% | (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
| ▶ | 39.8% | (*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
| 71.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 t y) y)) | |
| 35.1% | (*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y)) | |
| 39.8% | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64))) | |
| ▶ | 71.7% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) |
| ▶ | 39.8% | (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
| ✓ | 39.8% | (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
Compiled 407 to 289 computations (29% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (/.f64 t y) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 t y) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 t y) y) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 t y) y) z) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 t y) |
| ✓ | cost-diff | 0 | (-.f64 y (/.f64 t y)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
| 2 112× | lower-fma.f64 |
| 2 112× | lower-fma.f32 |
| 1 152× | lower-*.f32 |
| 1 138× | lower-*.f64 |
| 592× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 126 |
| 0 | 41 | 120 |
| 1 | 74 | 118 |
| 2 | 151 | 118 |
| 3 | 389 | 118 |
| 4 | 935 | 118 |
| 5 | 2108 | 118 |
| 6 | 3105 | 118 |
| 7 | 3437 | 118 |
| 8 | 3537 | 118 |
| 9 | 3558 | 118 |
| 10 | 3561 | 118 |
| 11 | 3629 | 118 |
| 12 | 3641 | 118 |
| 13 | 3641 | 118 |
| 14 | 3677 | 118 |
| 15 | 3815 | 118 |
| 16 | 3815 | 118 |
| 17 | 3815 | 118 |
| 0 | 3815 | 117 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
x |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(/.f64 y z) |
y |
z |
#s(literal -1/3 binary64) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64))) |
#s(literal 1 binary64) |
(*.f64 z #s(literal -3 binary64)) |
z |
#s(literal -3 binary64) |
(*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
z |
#s(literal 1/3 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(literal 1/3 binary64) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
| Outputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
(/.f64 y z) |
y |
z |
#s(literal -1/3 binary64) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64))) |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal 1 binary64) |
(*.f64 z #s(literal -3 binary64)) |
z |
#s(literal -3 binary64) |
(*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal -3 binary64))) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
z |
#s(literal 1/3 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal -3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(literal 1/3 binary64) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) z) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 t y) y) |
| ✓ | accuracy | 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 95.0% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) |
| ✓ | accuracy | 100.0% | (/.f64 t y) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 t y) y) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 95.1% | (/.f64 (-.f64 (/.f64 t y) y) z) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal -3 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 y (/.f64 t y)) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 3 binary64)) |
| ✓ | accuracy | 94.9% | (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
| 99.0ms | 256× | 0 | valid |
Compiled 128 to 27 computations (78.9% saved)
ival-div: 13.0ms (38.4% of total)ival-mult: 10.0ms (29.5% of total)const: 6.0ms (17.7% of total)ival-sub: 4.0ms (11.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))> |
#<alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))> |
#<alt (-.f64 y (/.f64 t y))> |
#<alt (/.f64 t y)> |
#<alt (*.f64 (/.f64 y z) #s(literal -1/3 binary64))> |
#<alt (/.f64 y z)> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))> |
#<alt (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64))))> |
#<alt (*.f64 z #s(literal -3 binary64))> |
#<alt (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64))> |
#<alt (/.f64 (-.f64 (/.f64 t y) y) z)> |
#<alt (-.f64 (/.f64 t y) y)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64))> |
#<alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))> |
#<alt (/.f64 #s(literal 1 binary64) z)> |
#<alt (*.f64 z #s(literal 3 binary64))> |
| Outputs |
|---|
#<alt (* -1/3 (/ (- y (/ t y)) z))> |
#<alt (- x (* 1/3 (/ (- y (/ t y)) z)))> |
#<alt (- x (* 1/3 (/ (- y (/ t y)) z)))> |
#<alt (- x (* 1/3 (/ (- y (/ t y)) z)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z)))))> |
#<alt (* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z)))))> |
#<alt (* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (/ (- (* x y) (* -1/3 (/ t z))) y)> |
#<alt (/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y)> |
#<alt (/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y)> |
#<alt (* -1/3 (/ y z))> |
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))> |
#<alt (- x (* 1/3 (/ y z)))> |
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))> |
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))> |
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))> |
#<alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))> |
#<alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1/3 (/ (- y (/ t y)) z))> |
#<alt (/ (- (* x z) (* 1/3 (- y (/ t y)))) z)> |
#<alt (/ (- (* x z) (* 1/3 (- y (/ t y)))) z)> |
#<alt (/ (- (* x z) (* 1/3 (- y (/ t y)))) z)> |
#<alt x> |
#<alt (+ x (* -1/3 (/ (- y (/ t y)) z)))> |
#<alt (+ x (* -1/3 (/ (- y (/ t y)) z)))> |
#<alt (+ x (* -1/3 (/ (- y (/ t y)) z)))> |
#<alt x> |
#<alt (+ x (* -1/3 (/ (- y (/ t y)) z)))> |
#<alt (+ x (* -1/3 (/ (- y (/ t y)) z)))> |
#<alt (+ x (* -1/3 (/ (- y (/ t y)) z)))> |
#<alt (* -1/3 (/ t (* y z)))> |
#<alt (/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y)> |
#<alt (/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y)> |
#<alt (/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y)> |
#<alt (* 1/3 (/ y z))> |
#<alt (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* 1/3 (/ y z))> |
#<alt (* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* 1/3 (/ y z))> |
#<alt (+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z)))> |
#<alt (+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z)))> |
#<alt (+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z)))> |
#<alt (* -1/3 (/ t (* y z)))> |
#<alt (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* -1/3 (/ t (* y z)))> |
#<alt (* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* 1/3 (/ (- y (/ t y)) z))> |
#<alt (* 1/3 (/ (- y (/ t y)) z))> |
#<alt (* 1/3 (/ (- y (/ t y)) z))> |
#<alt (* 1/3 (/ (- y (/ t y)) z))> |
#<alt (* 1/3 (/ (- y (/ t y)) z))> |
#<alt (* 1/3 (/ (- y (/ t y)) z))> |
#<alt (* 1/3 (/ (- y (/ t y)) z))> |
#<alt (* 1/3 (/ (- y (/ t y)) z))> |
#<alt (* 1/3 (/ (- y (/ t y)) z))> |
#<alt (* 1/3 (/ (- y (/ t y)) z))> |
#<alt (* 1/3 (/ (- y (/ t y)) z))> |
#<alt (* 1/3 (/ (- y (/ t y)) z))> |
#<alt (* -1 (/ t y))> |
#<alt (/ (- (pow y 2) t) y)> |
#<alt (/ (- (pow y 2) t) y)> |
#<alt (/ (- (pow y 2) t) y)> |
#<alt y> |
#<alt (* y (+ 1 (* -1 (/ t (pow y 2)))))> |
#<alt (* y (+ 1 (* -1 (/ t (pow y 2)))))> |
#<alt (* y (+ 1 (* -1 (/ t (pow y 2)))))> |
#<alt y> |
#<alt (* -1 (* y (- (/ t (pow y 2)) 1)))> |
#<alt (* -1 (* y (- (/ t (pow y 2)) 1)))> |
#<alt (* -1 (* y (- (/ t (pow y 2)) 1)))> |
#<alt y> |
#<alt (+ y (* -1 (/ t y)))> |
#<alt (+ y (* -1 (/ t y)))> |
#<alt (+ y (* -1 (/ t y)))> |
#<alt (* -1 (/ t y))> |
#<alt (* t (- (/ y t) (/ 1 y)))> |
#<alt (* t (- (/ y t) (/ 1 y)))> |
#<alt (* t (- (/ y t) (/ 1 y)))> |
#<alt (* -1 (/ t y))> |
#<alt (* -1 (* t (+ (* -1 (/ y t)) (/ 1 y))))> |
#<alt (* -1 (* t (+ (* -1 (/ y t)) (/ 1 y))))> |
#<alt (* -1 (* t (+ (* -1 (/ y t)) (/ 1 y))))> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (/ -1/3 z)> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -1/3 (/ y z))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (* -1/3 (/ y z))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* -1 (/ y z))> |
#<alt (+ (* -1 (/ y z)) (/ t (* y z)))> |
#<alt (+ (* -1 (/ y z)) (/ t (* y z)))> |
#<alt (+ (* -1 (/ y z)) (/ t (* y z)))> |
#<alt (/ t (* y z))> |
#<alt (* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z))))> |
#<alt (* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z))))> |
#<alt (* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z))))> |
#<alt (/ t (* y z))> |
#<alt (* -1 (* t (- (/ y (* t z)) (/ 1 (* y z)))))> |
#<alt (* -1 (* t (- (/ y (* t z)) (/ 1 (* y z)))))> |
#<alt (* -1 (* t (- (/ y (* t z)) (/ 1 (* y z)))))> |
#<alt (/ t (* y z))> |
#<alt (/ (+ (* -1 (/ (pow y 2) z)) (/ t z)) y)> |
#<alt (/ (+ (* -1 (/ (pow y 2) z)) (/ t z)) y)> |
#<alt (/ (+ (* -1 (/ (pow y 2) z)) (/ t z)) y)> |
#<alt (* -1 (/ y z))> |
#<alt (* y (- (/ t (* (pow y 2) z)) (/ 1 z)))> |
#<alt (* y (- (/ t (* (pow y 2) z)) (/ 1 z)))> |
#<alt (* y (- (/ t (* (pow y 2) z)) (/ 1 z)))> |
#<alt (* -1 (/ y z))> |
#<alt (* -1 (* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 z))))> |
#<alt (* -1 (* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 z))))> |
#<alt (* -1 (* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 z))))> |
#<alt (/ (- (/ t y) y) z)> |
#<alt (/ (- (/ t y) y) z)> |
#<alt (/ (- (/ t y) y) z)> |
#<alt (/ (- (/ t y) y) z)> |
#<alt (/ (- (/ t y) y) z)> |
#<alt (/ (- (/ t y) y) z)> |
#<alt (/ (- (/ t y) y) z)> |
#<alt (/ (- (/ t y) y) z)> |
#<alt (/ (- (/ t y) y) z)> |
#<alt (/ (- (/ t y) y) z)> |
#<alt (/ (- (/ t y) y) z)> |
#<alt (/ (- (/ t y) y) z)> |
#<alt (* -1 y)> |
#<alt (- (/ t y) y)> |
#<alt (- (/ t y) y)> |
#<alt (- (/ t y) y)> |
#<alt (/ t y)> |
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))> |
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))> |
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))> |
#<alt (/ t y)> |
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))> |
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))> |
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))> |
#<alt (/ t y)> |
#<alt (/ (+ t (* -1 (pow y 2))) y)> |
#<alt (/ (+ t (* -1 (pow y 2))) y)> |
#<alt (/ (+ t (* -1 (pow y 2))) y)> |
#<alt (* -1 y)> |
#<alt (* y (- (/ t (pow y 2)) 1))> |
#<alt (* y (- (/ t (pow y 2)) 1))> |
#<alt (* y (- (/ t (pow y 2)) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (* -1/3 (/ y z))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | (/ (- y (/ t y)) (* z 3)) |
| 4.0ms | y | @ | 0 | (* (/ (- (/ t y) y) z) 1/3) |
| 3.0ms | y | @ | inf | (* (* (/ 1 z) 1/3) (- (/ t y) y)) |
| 3.0ms | y | @ | -inf | (/ (- y (/ t y)) (* z 3)) |
| 1.0ms | x | @ | 0 | (- x (/ (- y (/ t y)) (* z 3))) |
| 1× | batch-egg-rewrite |
| 5 200× | lower-/.f32 |
| 5 188× | lower-/.f64 |
| 4 748× | lower-*.f32 |
| 4 734× | lower-*.f64 |
| 4 358× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 94 |
| 0 | 41 | 88 |
| 1 | 143 | 86 |
| 2 | 1131 | 86 |
| 0 | 8285 | 85 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
(-.f64 y (/.f64 t y)) |
(/.f64 t y) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(/.f64 y z) |
(/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
(*.f64 z #s(literal -3 binary64)) |
(*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(-.f64 (/.f64 t y) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) |
(/.f64 #s(literal 1 binary64) z) |
(*.f64 z #s(literal 3 binary64)) |
| Outputs |
|---|
(+.f64 x (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) x) |
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal 1/3 binary64) z) x) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 t y) y) (*.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y)))) (*.f64 (*.f64 z #s(literal -3 binary64)) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64))))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal 1/3 binary64) z) x) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal 1/3 binary64) z) x)) (/.f64 (/.f64 (*.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal 1/3 binary64) z) x))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal 1/3 binary64))) (neg.f64 (*.f64 (+.f64 y (/.f64 t y)) z))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 z (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 y y (*.f64 t #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)))) (neg.f64 (*.f64 z (+.f64 y (/.f64 t y))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (-.f64 (/.f64 t y) y)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 y y (*.f64 t #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)))) (neg.f64 (+.f64 y (/.f64 t y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (/.f64 t y) y)) #s(literal 1/3 binary64))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/3 binary64) z))) (neg.f64 (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 y y (*.f64 t #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) (/.f64 #s(literal 1/3 binary64) z))) (neg.f64 (+.f64 y (/.f64 t y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 z))) |
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64))))) (pow.f64 (/.f64 y (*.f64 z #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (-.f64 (*.f64 (/.f64 y (*.f64 z #s(literal -3 binary64))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) (*.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (/.f64 y (*.f64 z #s(literal -3 binary64))))))) |
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64))))) (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) z) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) z) (neg.f64 y)) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (neg.f64 y))) (*.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (neg.f64 y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 (/.f64 t y) y) (*.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y)))) (*.f64 (*.f64 z #s(literal -3 binary64)) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) (/.f64 (-.f64 y (/.f64 t y)) z)) #s(literal 1/9 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))))) |
(pow.f64 (neg.f64 (/.f64 (*.f64 z #s(literal 3 binary64)) (-.f64 y (/.f64 t y)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 z (-.f64 (/.f64 t y) y)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (-.f64 (/.f64 t y) y)) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z)) |
(*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 t y) y) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 y (/.f64 t y)) #s(literal -3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (/.f64 t y) y)) (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 (-.f64 (/.f64 t y) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 y y (*.f64 t #s(literal 1 binary64)))) z))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (/.f64 t y)) z))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 y y (*.f64 t #s(literal 1 binary64))))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y (/.f64 t y))))) |
(*.f64 (neg.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (-.f64 (/.f64 t y) y))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 y y (*.f64 t #s(literal 1 binary64)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y)))) |
(*.f64 (*.f64 (neg.f64 (-.f64 (/.f64 t y) y)) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/3 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 y y (*.f64 t #s(literal 1 binary64)))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) (/.f64 #s(literal 1/3 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 y y (*.f64 t #s(literal 1 binary64))))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))) z) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 t #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 t t) (*.f64 y y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 y y (*.f64 t #s(literal 1 binary64))))) (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 t #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) (neg.f64 z))) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 t #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) z)) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 t #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))) (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 t #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 t t) (*.f64 y y))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) (neg.f64 z))) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 t t) (*.f64 y y))) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) z)) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 t t) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 t t) (*.f64 y y))) (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 y y (*.f64 t #s(literal 1 binary64))))) z)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 y y (*.f64 t #s(literal 1 binary64))))) (neg.f64 z))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 y y (*.f64 t #s(literal 1 binary64))))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) z)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) (neg.f64 z))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))) (*.f64 z #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 t #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 t t) (*.f64 y y))) (*.f64 z #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (/.f64 t y) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) z)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 z)))) |
(pow.f64 z #s(literal -1 binary64)) |
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 z)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal -3 binary64))) |
(neg.f64 (*.f64 z #s(literal -3 binary64))) |
(/.f64 z #s(literal 1/3 binary64)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) z)) |
(/.f64 (*.f64 z #s(literal -3 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 z) #s(literal -1/3 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z #s(literal -3 binary64)) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 z #s(literal -3 binary64)))))) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) z) |
(*.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -3 binary64) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal -3 binary64))) |
(*.f64 (neg.f64 z) #s(literal -3 binary64)) |
| 1× | egg-herbie |
| 10 294× | lower-fma.f64 |
| 10 294× | lower-fma.f32 |
| 4 792× | lower-*.f64 |
| 4 792× | lower-*.f32 |
| 2 012× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 2779 |
| 1 | 471 | 2683 |
| 2 | 1478 | 2627 |
| 3 | 4425 | 2453 |
| 0 | 8214 | 2413 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/3 (/ (- y (/ t y)) z)) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
x |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
x |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (- (* x y) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1/3 (/ (- y (/ t y)) z)) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(* -1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(* 1/3 (/ y z)) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* 1/3 (/ y z)) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* 1/3 (/ y z)) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(* -1/3 (/ t (* y z))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* -1/3 (/ t (* y z))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* -1 (/ t y)) |
(/ (- (pow y 2) t) y) |
(/ (- (pow y 2) t) y) |
(/ (- (pow y 2) t) y) |
y |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
y |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
y |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(* -1 (/ t y)) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(* -1 (/ t y)) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -1/3 (/ y z)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(* 1/3 (/ t (* y z))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (/ t (* y z))) |
(+ (* -1 (/ y z)) (/ t (* y z))) |
(+ (* -1 (/ y z)) (/ t (* y z))) |
(/ t (* y z)) |
(* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z)))) |
(* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z)))) |
(* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z)))) |
(/ t (* y z)) |
(* -1 (* t (- (/ y (* t z)) (/ 1 (* y z))))) |
(* -1 (* t (- (/ y (* t z)) (/ 1 (* y z))))) |
(* -1 (* t (- (/ y (* t z)) (/ 1 (* y z))))) |
(/ t (* y z)) |
(/ (+ (* -1 (/ (pow y 2) z)) (/ t z)) y) |
(/ (+ (* -1 (/ (pow y 2) z)) (/ t z)) y) |
(/ (+ (* -1 (/ (pow y 2) z)) (/ t z)) y) |
(* -1 (/ y z)) |
(* y (- (/ t (* (pow y 2) z)) (/ 1 z))) |
(* y (- (/ t (* (pow y 2) z)) (/ 1 z))) |
(* y (- (/ t (* (pow y 2) z)) (/ 1 z))) |
(* -1 (/ y z)) |
(* -1 (* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 z)))) |
(* -1 (* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 z)))) |
(* -1 (* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 z)))) |
(/ (- (/ t y) y) z) |
(/ (- (/ t y) y) z) |
(/ (- (/ t y) y) z) |
(/ (- (/ t y) y) z) |
(/ (- (/ t y) y) z) |
(/ (- (/ t y) y) z) |
(/ (- (/ t y) y) z) |
(/ (- (/ t y) y) z) |
(/ (- (/ t y) y) z) |
(/ (- (/ t y) y) z) |
(/ (- (/ t y) y) z) |
(/ (- (/ t y) y) z) |
(* -1 y) |
(- (/ t y) y) |
(- (/ t y) y) |
(- (/ t y) y) |
(/ t y) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(/ t y) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(/ t y) |
(/ (+ t (* -1 (pow y 2))) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(* -1 y) |
(* y (- (/ t (pow y 2)) 1)) |
(* y (- (/ t (pow y 2)) 1)) |
(* y (- (/ t (pow y 2)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ y z)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(* 1/3 (/ t (* y z))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
| Outputs |
|---|
(* -1/3 (/ (- y (/ t y)) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(/ (- (* x y) (* -1/3 (/ t z))) y) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1/3 (/ y z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1/3 (/ y z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) (*.f64 t (/.f64 x t))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) (*.f64 t (/.f64 x t))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) (*.f64 t (/.f64 x t))) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) (*.f64 t (/.f64 x t))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) (*.f64 t (/.f64 x t))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) (*.f64 t (/.f64 x t))) |
(* -1/3 (/ (- y (/ t y)) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
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(/.f64 t (*.f64 y z)) |
(* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z)))) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z)))) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z)))) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(/ t (* y z)) |
(/.f64 t (*.f64 y z)) |
(* -1 (* t (- (/ y (* t z)) (/ 1 (* y z))))) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(* -1 (* t (- (/ y (* t z)) (/ 1 (* y z))))) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(* -1 (* t (- (/ y (* t z)) (/ 1 (* y z))))) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(/ t (* y z)) |
(/.f64 t (*.f64 y z)) |
(/ (+ (* -1 (/ (pow y 2) z)) (/ t z)) y) |
(/.f64 (-.f64 (/.f64 t z) (*.f64 y (/.f64 y z))) y) |
(/ (+ (* -1 (/ (pow y 2) z)) (/ t z)) y) |
(/.f64 (-.f64 (/.f64 t z) (*.f64 y (/.f64 y z))) y) |
(/ (+ (* -1 (/ (pow y 2) z)) (/ t z)) y) |
(/.f64 (-.f64 (/.f64 t z) (*.f64 y (/.f64 y z))) y) |
(* -1 (/ y z)) |
(neg.f64 (/.f64 y z)) |
(* y (- (/ t (* (pow y 2) z)) (/ 1 z))) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(* y (- (/ t (* (pow y 2) z)) (/ 1 z))) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(* y (- (/ t (* (pow y 2) z)) (/ 1 z))) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(* -1 (/ y z)) |
(neg.f64 (/.f64 y z)) |
(* -1 (* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 z)))) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(* -1 (* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 z)))) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(* -1 (* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 z)))) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(/ (- (/ t y) y) z) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(/ (- (/ t y) y) z) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(/ (- (/ t y) y) z) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(/ (- (/ t y) y) z) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(/ (- (/ t y) y) z) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(/ (- (/ t y) y) z) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(/ (- (/ t y) y) z) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(/ (- (/ t y) y) z) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(/ (- (/ t y) y) z) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(/ (- (/ t y) y) z) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(/ (- (/ t y) y) z) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(/ (- (/ t y) y) z) |
(/.f64 (-.f64 (/.f64 t y) y) z) |
(* -1 y) |
(neg.f64 y) |
(- (/ t y) y) |
(-.f64 (/.f64 t y) y) |
(- (/ t y) y) |
(-.f64 (/.f64 t y) y) |
(- (/ t y) y) |
(-.f64 (/.f64 t y) y) |
(/ t y) |
(/.f64 t y) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(-.f64 (/.f64 t y) y) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(-.f64 (/.f64 t y) y) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(-.f64 (/.f64 t y) y) |
(/ t y) |
(/.f64 t y) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(-.f64 (/.f64 t y) y) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(-.f64 (/.f64 t y) y) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(-.f64 (/.f64 t y) y) |
(/ t y) |
(/.f64 t y) |
(/ (+ t (* -1 (pow y 2))) y) |
(-.f64 (/.f64 t y) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(-.f64 (/.f64 t y) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(-.f64 (/.f64 t y) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ t (pow y 2)) 1)) |
(-.f64 (/.f64 t y) y) |
(* y (- (/ t (pow y 2)) 1)) |
(-.f64 (/.f64 t y) y) |
(* y (- (/ t (pow y 2)) 1)) |
(-.f64 (/.f64 t y) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(-.f64 (/.f64 t y) y) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(-.f64 (/.f64 t y) y) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(-.f64 (/.f64 t y) y) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* -1/3 (/ y z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t z) (*.f64 y (/.f64 y z)))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t z) (*.f64 y (/.f64 y z)))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t z) (*.f64 y (/.f64 y z)))) y) |
(* -1/3 (/ y z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* -1/3 (/ y z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
Compiled 31 946 to 2 806 computations (91.2% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 750 | 7 | 1 757 |
| Fresh | 3 | 8 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 754 | 20 | 1 774 |
| Status | Accuracy | Program |
|---|---|---|
| 64.8% | (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) | |
| 58.9% | (fma.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y (*.f64 z x)))) x) | |
| ▶ | 58.1% | (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
| 56.5% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y) | |
| ▶ | 71.7% | (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
| 39.9% | (/.f64 (*.f64 y #s(literal -1/3 binary64)) z) | |
| 34.0% | (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) | |
| ▶ | 39.8% | (/.f64 y (*.f64 z #s(literal -3 binary64))) |
| 70.3% | (-.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (/.f64 y (*.f64 z #s(literal 3 binary64)))) | |
| ✓ | 95.0% | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
| 35.0% | (*.f64 (/.f64 (/.f64 t y) z) #s(literal 1/3 binary64)) | |
| ✓ | 71.7% | (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
| ✓ | 39.8% | (*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
| 34.0% | (*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) | |
| ▶ | 71.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 t y) y)) |
| ▶ | 39.8% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64))) |
| 35.1% | (*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y)) | |
| 35.0% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (/.f64 t y)) | |
| ✓ | 39.8% | (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
| ✓ | 39.8% | (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
Compiled 423 to 300 computations (29.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 t y) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 t y) y) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) |
| ✓ | cost-diff | 0 | (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (*.f64 z #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 t y) y) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 t y) y)) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) |
| 1 696× | lower-fma.f32 |
| 1 694× | lower-fma.f64 |
| 1 120× | lower-*.f32 |
| 1 108× | lower-*.f64 |
| 592× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 105 |
| 0 | 38 | 105 |
| 1 | 68 | 99 |
| 2 | 141 | 99 |
| 3 | 285 | 99 |
| 4 | 615 | 99 |
| 5 | 983 | 99 |
| 6 | 1699 | 99 |
| 7 | 2221 | 99 |
| 8 | 2821 | 99 |
| 9 | 3108 | 99 |
| 10 | 3132 | 99 |
| 11 | 3144 | 99 |
| 12 | 3156 | 99 |
| 13 | 3175 | 99 |
| 14 | 3185 | 99 |
| 15 | 3189 | 99 |
| 16 | 3189 | 99 |
| 17 | 3189 | 99 |
| 18 | 3225 | 99 |
| 19 | 3363 | 99 |
| 20 | 3363 | 99 |
| 21 | 3363 | 99 |
| 0 | 3363 | 99 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 t y) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
y |
(*.f64 z #s(literal -3 binary64)) |
z |
#s(literal -3 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64))) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 y #s(literal -1/3 binary64)) |
y |
#s(literal -1/3 binary64) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
t |
(/.f64 #s(literal 1/3 binary64) (*.f64 y z)) |
#s(literal 1/3 binary64) |
(*.f64 y z) |
y |
z |
x |
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 t y) y)) |
(/.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) z) |
(/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) z) |
#s(literal 1 binary64) |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
y |
(*.f64 z #s(literal -3 binary64)) |
z |
#s(literal -3 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64))) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 y #s(literal -1/3 binary64)) |
y |
#s(literal -1/3 binary64) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 z y)) x) |
t |
(/.f64 #s(literal 1/3 binary64) (*.f64 y z)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 z y)) |
#s(literal 1/3 binary64) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
x |
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) z) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 t y) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 t y) y) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 3 binary64)) |
| ✓ | accuracy | 94.9% | (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) |
| ✓ | accuracy | 94.3% | (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) z) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 y #s(literal -1/3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal -3 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 y (*.f64 z #s(literal -3 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 t y) y) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 3 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) |
| ✓ | accuracy | 95.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 t y) y)) |
| 106.0ms | 256× | 0 | valid |
Compiled 108 to 26 computations (75.9% saved)
ival-mult: 11.0ms (36.5% of total)ival-div: 10.0ms (33.2% of total)const: 6.0ms (19.9% of total)ival-sub: 1.0ms (3.3% of total)ival-add: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64)))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 t y) y))> |
#<alt (*.f64 z #s(literal 3 binary64))> |
#<alt (-.f64 (/.f64 t y) y)> |
#<alt (/.f64 y (*.f64 z #s(literal -3 binary64)))> |
#<alt (*.f64 z #s(literal -3 binary64))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) z)> |
#<alt (*.f64 y #s(literal -1/3 binary64))> |
#<alt (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) (*.f64 y z))> |
#<alt (*.f64 y z)> |
#<alt (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))> |
#<alt (/.f64 t y)> |
| Outputs |
|---|
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (/ 1/3 z)> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (* -1/3 (/ y z))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* 3 z)> |
#<alt (* -1 y)> |
#<alt (- (/ t y) y)> |
#<alt (- (/ t y) y)> |
#<alt (- (/ t y) y)> |
#<alt (/ t y)> |
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))> |
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))> |
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))> |
#<alt (/ t y)> |
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))> |
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))> |
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))> |
#<alt (/ t y)> |
#<alt (/ (+ t (* -1 (pow y 2))) y)> |
#<alt (/ (+ t (* -1 (pow y 2))) y)> |
#<alt (/ (+ t (* -1 (pow y 2))) y)> |
#<alt (* -1 y)> |
#<alt (* y (- (/ t (pow y 2)) 1))> |
#<alt (* y (- (/ t (pow y 2)) 1))> |
#<alt (* y (- (/ t (pow y 2)) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -3 z)> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1/3 (/ y z))> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt x> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* t (+ (* 1/3 (/ 1 (* y z))) (/ x t)))> |
#<alt (* t (+ (* 1/3 (/ 1 (* y z))) (/ x t)))> |
#<alt (* t (+ (* 1/3 (/ 1 (* y z))) (/ x t)))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (/ (+ (* 1/3 (/ t z)) (* x y)) y)> |
#<alt (/ (+ (* 1/3 (/ t z)) (* x y)) y)> |
#<alt (/ (+ (* 1/3 (/ t z)) (* x y)) y)> |
#<alt x> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt x> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (/ (+ (* 1/3 (/ t y)) (* x z)) z)> |
#<alt (/ (+ (* 1/3 (/ t y)) (* x z)) z)> |
#<alt (/ (+ (* 1/3 (/ t y)) (* x z)) z)> |
#<alt x> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt x> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt (+ x (* 1/3 (/ t (* y z))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (/ t (* x (* y z))))))> |
#<alt (* x (+ 1 (* 1/3 (/ t (* x (* y z))))))> |
#<alt (* x (+ 1 (* 1/3 (/ t (* x (* y z))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1)))> |
#<alt (* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1)))> |
#<alt (* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1)))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (/ 1/3 (* y z))> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* -1/3 (/ y z))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))> |
#<alt (* 1/3 (/ t (* y z)))> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)> |
#<alt (* -1/3 (/ y z))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))> |
#<alt (* -1/3 (/ y z))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (* 1/3 (/ (- (/ t y) y) z))> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | t | @ | 0 | (+ (* t (/ 1/3 (* y z))) x) |
| 0.0ms | z | @ | inf | (/ (- (/ t y) y) (* z 3)) |
| 0.0ms | t | @ | inf | (+ (* t (/ 1/3 (* y z))) x) |
| 0.0ms | z | @ | 0 | (/ (- (/ t y) y) (* z 3)) |
| 0.0ms | z | @ | inf | (* (/ 1 (* z 3)) (- (/ t y) y)) |
| 1× | batch-egg-rewrite |
| 7 256× | lower-fma.f32 |
| 7 254× | lower-fma.f64 |
| 5 384× | lower-*.f32 |
| 5 372× | lower-*.f64 |
| 3 652× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 73 |
| 0 | 38 | 69 |
| 1 | 129 | 67 |
| 2 | 871 | 67 |
| 0 | 9040 | 67 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 t y) y)) |
(*.f64 z #s(literal 3 binary64)) |
(-.f64 (/.f64 t y) y) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
(*.f64 z #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64))) |
(/.f64 #s(literal 1 binary64) z) |
(*.f64 y #s(literal -1/3 binary64)) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y z)) |
(*.f64 y z) |
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
(/.f64 t y) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) z)) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1/3 binary64) z) |
(/.f64 #s(literal -1 binary64) (*.f64 z #s(literal -3 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -3 binary64)) |
(pow.f64 (*.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 z z)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) z)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/3 binary64)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 z #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z #s(literal 3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 z #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 z #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z #s(literal 3 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z #s(literal 3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(+.f64 (/.f64 y (*.f64 z #s(literal -3 binary64))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
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(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 3 binary64)) (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t (fma.f64 y y (/.f64 (*.f64 t t) (*.f64 y y))))) z)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t (fma.f64 y y (/.f64 (*.f64 t t) (*.f64 y y))))) (neg.f64 z))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t (fma.f64 y y (/.f64 (*.f64 t t) (*.f64 y y))))) (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t (fma.f64 y y (/.f64 (*.f64 t t) (*.f64 y y))))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) z)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) (neg.f64 z))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (+.f64 t (fma.f64 y y (/.f64 (*.f64 t t) (*.f64 y y)))) (*.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 t y) y) (+.f64 t (fma.f64 y y (/.f64 (*.f64 t t) (*.f64 y y)))))) |
(*.f64 (/.f64 (+.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 t y) y) (+.f64 y (/.f64 t y)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 3 binary64)) (-.f64 (/.f64 t y) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 z #s(literal 3 binary64)) (-.f64 (/.f64 t y) y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 (/.f64 t y) y) (pow.f64 (*.f64 z #s(literal 3 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z #s(literal 3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1 binary64) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y t)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 t (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 t (neg.f64 y))) |
(neg.f64 (/.f64 t (neg.f64 y))) |
(neg.f64 (*.f64 (/.f64 t (neg.f64 y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y t)) |
(/.f64 t y) |
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 t))) |
(/.f64 (neg.f64 t) (neg.f64 y)) |
(/.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 y)) |
(pow.f64 (/.f64 y t) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 t y)) |
(*.f64 t (/.f64 #s(literal 1 binary64) y)) |
(*.f64 t (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 t y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 y))) |
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 t) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) t) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y t) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 5 610× | lower-fma.f64 |
| 5 610× | lower-fma.f32 |
| 3 896× | lower-*.f64 |
| 3 896× | lower-*.f32 |
| 2 096× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 1824 |
| 1 | 265 | 1821 |
| 2 | 746 | 1821 |
| 3 | 2452 | 1821 |
| 4 | 4206 | 1821 |
| 5 | 7678 | 1821 |
| 0 | 8495 | 1779 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ y z)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(* 1/3 (/ t (* y z))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* -1 y) |
(- (/ t y) y) |
(- (/ t y) y) |
(- (/ t y) y) |
(/ t y) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(/ t y) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(/ t y) |
(/ (+ t (* -1 (pow y 2))) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(* -1 y) |
(* y (- (/ t (pow y 2)) 1)) |
(* y (- (/ t (pow y 2)) 1)) |
(* y (- (/ t (pow y 2)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(* 1/3 (/ t (* y z))) |
(* t (+ (* 1/3 (/ 1 (* y z))) (/ x t))) |
(* t (+ (* 1/3 (/ 1 (* y z))) (/ x t))) |
(* t (+ (* 1/3 (/ 1 (* y z))) (/ x t))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t y)) (* x z)) z) |
(/ (+ (* 1/3 (/ t y)) (* x z)) z) |
(/ (+ (* 1/3 (/ t y)) (* x z)) z) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(* 1/3 (/ t (* y z))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
x |
(* x (+ 1 (* 1/3 (/ t (* x (* y z)))))) |
(* x (+ 1 (* 1/3 (/ t (* x (* y z)))))) |
(* x (+ 1 (* 1/3 (/ t (* x (* y z)))))) |
x |
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) |
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) |
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1/3 (/ y z)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(* 1/3 (/ t (* y z))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
| Outputs |
|---|
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(/ 1/3 z) |
(/.f64 #s(literal 1/3 binary64) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ t (* y z))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
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(*.f64 z y) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ t (* y z))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ t (* y z))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ t (* y z))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y))) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal -1/3 binary64)) z) (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal -1/3 binary64)) z) (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal -1/3 binary64)) z) (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
Compiled 30 020 to 2 033 computations (93.2% saved)
17 alts after pruning (9 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 753 | 3 | 1 756 |
| Fresh | 4 | 6 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 759 | 17 | 1 776 |
| Status | Accuracy | Program |
|---|---|---|
| 58.1% | (fma.f64 (*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 1/3 binary64) x) | |
| 64.8% | (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) | |
| ✓ | 58.1% | (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
| 39.9% | (/.f64 (*.f64 y #s(literal -1/3 binary64)) z) | |
| 34.0% | (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) | |
| ✓ | 39.8% | (/.f64 y (*.f64 z #s(literal -3 binary64))) |
| ✓ | 95.0% | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
| 58.3% | (+.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) x) | |
| 35.0% | (*.f64 (/.f64 (/.f64 t y) z) #s(literal 1/3 binary64)) | |
| ✓ | 71.7% | (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
| ✓ | 39.8% | (*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
| 34.0% | (*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) | |
| 35.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (/.f64 t y)) | |
| ✓ | 39.8% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64))) |
| 35.1% | (*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y)) | |
| ✓ | 39.8% | (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
| ✓ | 39.8% | (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
Compiled 560 to 236 computations (57.9% saved)
| Inputs |
|---|
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(+.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y)) |
(*.f64 (/.f64 (/.f64 t y) z) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 1/3 binary64) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (/.f64 t y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (/.f64 t y)) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y (*.f64 z x)))) x) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 t y) y)) |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(+.f64 (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(-.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64)))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64)) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) |
| Outputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64)))) |
6 calls:
| 12.0ms | y |
| 12.0ms | z |
| 11.0ms | (*.f64 z #s(literal 3 binary64)) |
| 11.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | x |
| 97.0% | 2 | y |
| 98.3% | 2 | z |
| 99.8% | 3 | t |
| 98.1% | 2 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 98.3% | 2 | (*.f64 z #s(literal 3 binary64)) |
Compiled 46 to 33 computations (28.3% saved)
| Inputs |
|---|
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(+.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y)) |
(*.f64 (/.f64 (/.f64 t y) z) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 1/3 binary64) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (/.f64 t y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (/.f64 t y)) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y (*.f64 z x)))) x) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 t y) y)) |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(+.f64 (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(-.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
2 calls:
| 12.0ms | (*.f64 z #s(literal 3 binary64)) |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | z |
| 98.2% | 2 | (*.f64 z #s(literal 3 binary64)) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(+.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y)) |
(*.f64 (/.f64 (/.f64 t y) z) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 1/3 binary64) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (/.f64 t y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (/.f64 t y)) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y (*.f64 z x)))) x) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 t y) y)) |
| Outputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
6 calls:
| 9.0ms | x |
| 9.0ms | y |
| 8.0ms | z |
| 8.0ms | (*.f64 z #s(literal 3 binary64)) |
| 8.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 1 | x |
| 95.0% | 1 | y |
| 95.0% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 95.0% | 1 | t |
| 95.0% | 1 | z |
| 95.0% | 1 | (*.f64 z #s(literal 3 binary64)) |
Compiled 46 to 33 computations (28.3% saved)
| Inputs |
|---|
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(+.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y)) |
(*.f64 (/.f64 (/.f64 t y) z) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 1/3 binary64) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (/.f64 t y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (/.f64 t y)) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y (*.f64 z x)))) x) |
| Outputs |
|---|
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) x) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
6 calls:
| 8.0ms | z |
| 7.0ms | x |
| 7.0ms | (*.f64 z #s(literal 3 binary64)) |
| 7.0ms | y |
| 7.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 3 | t |
| 84.4% | 3 | x |
| 91.1% | 3 | y |
| 87.6% | 3 | z |
| 82.2% | 3 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 87.6% | 3 | (*.f64 z #s(literal 3 binary64)) |
Compiled 46 to 33 computations (28.3% saved)
| Inputs |
|---|
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
| Outputs |
|---|
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 3 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
| Outputs |
|---|
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
4 calls:
| 5.0ms | z |
| 4.0ms | x |
| 4.0ms | (*.f64 z #s(literal 3 binary64)) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.8% | 1 | x |
| 64.8% | 1 | z |
| 64.8% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 83.5% | 3 | y |
Compiled 22 to 18 computations (18.2% saved)
| Inputs |
|---|
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/3 binary64))) |
| Outputs |
|---|
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
4 calls:
| 71.0ms | t |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.8% | 1 | x |
| 64.8% | 1 | t |
| 64.8% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 64.8% | 1 | y |
Compiled 34 to 23 computations (32.4% saved)
| Inputs |
|---|
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
| Outputs |
|---|
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
6 calls:
| 3.0ms | (*.f64 z #s(literal 3 binary64)) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | t |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.9% | 1 | y |
| 39.9% | 1 | z |
| 39.9% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 39.9% | 1 | t |
| 39.9% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 39.9% | 1 | x |
Compiled 46 to 33 computations (28.3% saved)
Total -0.1b remaining (-0.2%)
Threshold costs -0.1b (-0.2%)
| Inputs |
|---|
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
| Outputs |
|---|
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
6 calls:
| 21.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 2.0ms | (*.f64 z #s(literal 3 binary64)) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.8% | 1 | x |
| 39.8% | 1 | t |
| 39.8% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 39.8% | 1 | y |
| 39.8% | 1 | z |
| 39.8% | 1 | (*.f64 z #s(literal 3 binary64)) |
Compiled 46 to 33 computations (28.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 74.33075378540359 | 1467289.7124463932 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 74.33075378540359 | 1467289.7124463932 |
Compiled 20 to 18 computations (10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 4023.038945007366 | 110634561618536850.0 |
| 46.0ms | -8.902427013487704e+19 | -3860684410608.1997 |
| 19.0ms | 304× | 0 | valid |
Compiled 497 to 360 computations (27.6% saved)
ival-div: 4.0ms (35.3% of total)ival-mult: 4.0ms (35.3% of total)ival-sub: 1.0ms (8.8% of total)ival-add: 1.0ms (8.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4023.038945007366 | 110634561618536850.0 |
| 1.0ms | -8.902427013487704e+19 | -3860684410608.1997 |
Compiled 478 to 341 computations (28.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 2.242464298621624e-81 | 3.5748637819306516e-80 |
| 14.0ms | -4.894294748657495e-97 | -2.6183176370034545e-105 |
| 15.0ms | 240× | 0 | valid |
Compiled 367 to 273 computations (25.6% saved)
ival-div: 3.0ms (32.3% of total)ival-mult: 3.0ms (32.3% of total)ival-sub: 1.0ms (10.8% of total)ival-add: 1.0ms (10.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 226× | unsub-neg_binary64 |
| 224× | distribute-lft-neg-in_binary64 |
| 190× | neg-mul-1_binary64 |
| 112× | neg-sub0_binary64 |
| 104× | cancel-sign-sub_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 172 |
| 1 | 62 | 172 |
| 2 | 84 | 172 |
| 3 | 115 | 172 |
| 4 | 158 | 172 |
| 5 | 203 | 172 |
| 6 | 263 | 172 |
| 7 | 417 | 172 |
| 8 | 635 | 172 |
| 9 | 746 | 172 |
| 10 | 805 | 172 |
| 11 | 847 | 172 |
| 12 | 868 | 172 |
| 13 | 880 | 172 |
| 14 | 889 | 172 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 100 binary64)) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64))))) |
(if (<=.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 100 binary64)) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(if (<=.f64 y #s(literal -8000000000000000 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 125000000000000 binary64)) (+.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))) |
(if (<=.f64 y #s(literal -8000000000000000 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 125000000000000 binary64)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))) |
(if (<=.f64 y #s(literal -7060839510393891/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 8009951384703413/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 100 binary64)) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64))))) |
(if (<=.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 100 binary64)) (+.f64 x (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) (-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 t (*.f64 (*.f64 z y) #s(literal -3 binary64))))) |
(if (<=.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 100 binary64)) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))) |
(if (<=.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 100 binary64)) (+.f64 x (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
(if (<=.f64 y #s(literal -8000000000000000 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 125000000000000 binary64)) (+.f64 (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))) |
(if (<=.f64 y #s(literal -8000000000000000 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 125000000000000 binary64)) (+.f64 x (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))) |
(if (<=.f64 y #s(literal -8000000000000000 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 125000000000000 binary64)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))) |
(if (<=.f64 y #s(literal -8000000000000000 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 125000000000000 binary64)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 z y)) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))) |
(if (<=.f64 y #s(literal -7060839510393891/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 8009951384703413/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))) |
(if (<=.f64 y #s(literal -7060839510393891/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 8009951384703413/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
| 10 462× | lower-fma.f64 |
| 10 462× | lower-fma.f32 |
| 10 320× | lower-fma.f64 |
| 10 320× | lower-fma.f32 |
| 10 294× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 0 | 17 | 42 |
| 1 | 69 | 42 |
| 2 | 861 | 38 |
| 0 | 9318 | 37 |
| 0 | 29 | 131 |
| 0 | 53 | 134 |
| 1 | 202 | 128 |
| 2 | 1894 | 128 |
| 0 | 8487 | 127 |
| 0 | 102 | 1412 |
| 1 | 307 | 1322 |
| 2 | 875 | 1322 |
| 3 | 2795 | 1262 |
| 4 | 6348 | 1262 |
| 0 | 8216 | 1196 |
| 0 | 23 | 73 |
| 0 | 38 | 69 |
| 1 | 129 | 67 |
| 2 | 871 | 67 |
| 0 | 9040 | 67 |
| 0 | 157 | 2779 |
| 1 | 471 | 2683 |
| 2 | 1478 | 2627 |
| 3 | 4425 | 2453 |
| 0 | 8214 | 2413 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 374 to 194 computations (48.1% saved)
Compiled 428 to 140 computations (67.3% saved)
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