
Time bar (total: 4.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 100% | 99.8% | 0% | 0.2% | 0% | 0% | 0% | 1 |
Compiled 15 to 15 computations (0% saved)
| 611.0ms | 8 253× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
| 0.0ms | 1× | 3 | valid |
ival-div: 124.0ms (36.4% of total)ival-mult: 107.0ms (31.4% of total)ival-sub: 53.0ms (15.6% of total)ival-add: 37.0ms (10.9% of total)exact: 11.0ms (3.2% of total)ival-true: 6.0ms (1.8% of total)ival-assert: 3.0ms (0.9% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 0 | - | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) | o/n | 2 | 0 |
| ↳ | (*.f64 y z) | overflow | 35 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 0 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 0 | 0 | 254 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 46.0ms | 512× | 0 | valid |
Compiled 115 to 43 computations (62.6% saved)
ival-mult: 7.0ms (36.6% of total)ival-div: 6.0ms (31.4% of total)ival-sub: 2.0ms (10.5% of total)ival-add: 2.0ms (10.5% of total)exact: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 704× | lower-fma.f64 |
| 704× | lower-fma.f32 |
| 664× | sub-neg |
| 350× | unsub-neg |
| 342× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 164 |
| 1 | 164 | 155 |
| 2 | 405 | 154 |
| 3 | 1042 | 154 |
| 4 | 2188 | 154 |
| 5 | 2948 | 154 |
| 6 | 3153 | 154 |
| 7 | 3176 | 154 |
| 8 | 3183 | 154 |
| 9 | 3183 | 154 |
| 10 | 3185 | 154 |
| 11 | 3191 | 154 |
| 0 | 13 | 11 |
| 0 | 20 | 11 |
| 1 | 31 | 11 |
| 2 | 57 | 11 |
| 3 | 108 | 11 |
| 4 | 189 | 11 |
| 5 | 315 | 11 |
| 6 | 486 | 11 |
| 7 | 666 | 11 |
| 8 | 798 | 11 |
| 9 | 800 | 11 |
| 0 | 800 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 x #s(literal 1/8 binary64) t)) |
(sort y z)
Compiled 17 to 13 computations (23.5% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) | |
| cost-diff | 128 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) | |
| cost-diff | 384 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
| 704× | lower-fma.f64 |
| 704× | lower-fma.f32 |
| 320× | lower-*.f32 |
| 316× | lower-*.f64 |
| 160× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 39 |
| 0 | 20 | 39 |
| 1 | 31 | 39 |
| 2 | 57 | 39 |
| 3 | 108 | 39 |
| 4 | 189 | 39 |
| 5 | 315 | 39 |
| 6 | 486 | 39 |
| 7 | 666 | 39 |
| 8 | 798 | 39 |
| 9 | 800 | 39 |
| 0 | 800 | 36 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
#s(literal 1 binary64) |
#s(literal 8 binary64) |
x |
(/.f64 (*.f64 y z) #s(literal 2 binary64)) |
(*.f64 y z) |
y |
z |
#s(literal 2 binary64) |
t |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 x #s(literal 1/8 binary64) t)) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
(*.f64 x #s(literal 1/8 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(literal 8 binary64) |
x |
(/.f64 (*.f64 y z) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(literal 2 binary64) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) | |
| accuracy | 0.3881788432301685 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 25.0ms | 256× | 0 | valid |
Compiled 49 to 15 computations (69.4% saved)
ival-div: 3.0ms (32.1% of total)ival-mult: 3.0ms (32.1% of total)ival-sub: 1.0ms (10.7% of total)ival-add: 1.0ms (10.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt t (taylor inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt t (taylor -inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ t (* 1/8 x)) (taylor 0 z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 x) (taylor 0 z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) (taylor inf z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) (taylor inf z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) (taylor inf z) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | ((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z)) |
| 1.0ms | y | @ | inf | ((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z)) |
| 1.0ms | z | @ | inf | ((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z)) |
| 1.0ms | y | @ | -inf | ((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z)) |
| 1.0ms | z | @ | 0 | ((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z)) |
| 1× | egg-herbie |
| 10 994× | lower-fma.f64 |
| 10 994× | lower-fma.f32 |
| 2 884× | lower-*.f64 |
| 2 884× | lower-*.f32 |
| 1 240× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 922 |
| 1 | 242 | 922 |
| 2 | 634 | 922 |
| 3 | 1915 | 922 |
| 4 | 5132 | 922 |
| 0 | 8095 | 819 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/8 x) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
t |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* 1/8 x) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* -1/2 (* y z)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* -1/2 (* y z)) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1/2 (* y z)) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* 1/8 x) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* -1/2 (* y z)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* -1/2 (* y z)) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1/2 (* y z)) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* -1/2 (* y z)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(* 1/8 x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* 1/8 x) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* 1/8 x) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* 1/8 x) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
| Outputs |
|---|
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(- t (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
| 8 930× | lower-fma.f64 |
| 8 930× | lower-fma.f32 |
| 4 482× | lower-*.f32 |
| 4 478× | lower-*.f64 |
| 2 730× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 0 | 20 | 29 |
| 1 | 65 | 29 |
| 2 | 503 | 29 |
| 3 | 6469 | 29 |
| 0 | 8004 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
(/.f64 (*.f64 y z) #s(literal 2 binary64)) |
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
(*.f64 y z) |
| Outputs |
|---|
#s(literal 1/8 binary64) |
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(*.f64 (neg.f64 y) (*.f64 z #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64))) |
(*.f64 (neg.f64 z) (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 z y)) |
(*.f64 (*.f64 (neg.f64 y) z) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(*.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) |
(*.f64 z (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) |
(*.f64 z (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) z)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(/.f64 (*.f64 (neg.f64 y) z) #s(literal -2 binary64)) |
(/.f64 (*.f64 z y) #s(literal 2 binary64)) |
(/.f64 y (/.f64 #s(literal 2 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) t) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) (*.f64 (*.f64 (neg.f64 t) t) t))) (fma.f64 t (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) t) (*.f64 t t)) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) t) (*.f64 t t)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) t) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (*.f64 t (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) t) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (*.f64 t (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) t) (*.f64 t t)) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))) (fma.f64 (*.f64 (*.f64 (-.f64 t (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) t) (*.f64 (-.f64 t (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) t)) (*.f64 (-.f64 t (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) t) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 t (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) t) (-.f64 (*.f64 (-.f64 t (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))) |
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(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 z (/.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 z (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))) |
(-.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (*.f64 z y)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))) |
(+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (*.f64 z y)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64))) |
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(*.f64 (*.f64 #s(literal 1 binary64) z) y) |
(*.f64 (*.f64 #s(literal 1 binary64) y) z) |
(*.f64 (neg.f64 (neg.f64 y)) z) |
(*.f64 (neg.f64 (neg.f64 z)) y) |
(*.f64 (neg.f64 y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 z y) #s(literal 1 binary64)) |
(*.f64 z (*.f64 y #s(literal 1 binary64))) |
(*.f64 z (neg.f64 (neg.f64 y))) |
(*.f64 z y) |
(*.f64 y (*.f64 z #s(literal 1 binary64))) |
(*.f64 y (neg.f64 (neg.f64 z))) |
(*.f64 y z) |
(*.f64 #s(literal 1 binary64) (*.f64 z y)) |
(neg.f64 (*.f64 (neg.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) z)) |
Compiled 11 733 to 853 computations (92.7% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 400 | 5 | 405 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 401 | 5 | 406 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
| ▶ | 64.2% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
| ▶ | 69.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) |
| ▶ | 34.3% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
| ▶ | 37.6% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
Compiled 102 to 70 computations (31.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 1/8 binary64) t) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/8 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/8 binary64)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) |
| 704× | lower-fma.f32 |
| 698× | lower-fma.f64 |
| 320× | lower-*.f32 |
| 312× | lower-*.f64 |
| 160× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 141 |
| 0 | 35 | 141 |
| 1 | 55 | 136 |
| 2 | 86 | 136 |
| 3 | 138 | 136 |
| 4 | 219 | 136 |
| 5 | 356 | 136 |
| 6 | 516 | 136 |
| 7 | 693 | 136 |
| 8 | 823 | 136 |
| 9 | 825 | 136 |
| 0 | 825 | 131 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 x #s(literal 1/8 binary64)) |
x |
#s(literal 1/8 binary64) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
(*.f64 x #s(literal 1/8 binary64)) |
x |
#s(literal 1/8 binary64) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
x |
#s(literal 1/8 binary64) |
t |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
y |
t |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 x #s(literal 1/8 binary64)) |
x |
#s(literal 1/8 binary64) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
(*.f64 x #s(literal 1/8 binary64)) |
x |
#s(literal 1/8 binary64) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
x |
#s(literal 1/8 binary64) |
t |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
y |
t |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) z) | |
| accuracy | 20.772546275812385 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.3881788432301685 | (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) | |
| accuracy | 39.539120117769656 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) | |
| accuracy | 0 | (fma.f64 x #s(literal 1/8 binary64) t) | |
| accuracy | 22.899565531545132 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) | |
| accuracy | 0 | (*.f64 x #s(literal 1/8 binary64)) | |
| accuracy | 42.0168681261681 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (*.f64 x #s(literal 1/8 binary64)) | |
| accuracy | 0.3842725932301685 | (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) | |
| accuracy | 19.129207018962145 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) |
| 67.0ms | 256× | 0 | valid |
Compiled 125 to 25 computations (80% saved)
ival-add: 35.0ms (68% of total)ival-mult: 11.0ms (21.4% of total)ival-div: 3.0ms (5.8% of total)ival-sub: 1.0ms (1.9% of total)exact: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/8 binary64)) (patch (*.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (patch (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) z) (patch (*.f64 #s(literal -1/2 binary64) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* x 1/8)) (* z y) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z)) |
| 1.0ms | z | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* x 1/8)) (* z y) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z)) |
| 1.0ms | z | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* x 1/8)) (* z y) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z)) |
| 1.0ms | z | @ | 0 | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* x 1/8)) (* z y) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z)) |
| 1.0ms | x | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* x 1/8)) (* z y) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z)) |
| 1× | egg-herbie |
| 6 946× | lower-fma.f64 |
| 6 946× | lower-fma.f32 |
| 3 216× | lower-*.f64 |
| 3 216× | lower-*.f32 |
| 1 758× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 3114 |
| 1 | 369 | 3114 |
| 2 | 1058 | 3114 |
| 3 | 3046 | 3114 |
| 4 | 6295 | 3114 |
| 0 | 8299 | 2662 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/8 x) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* 1/8 x) |
(+ t (* 1/8 x)) |
(+ t (* 1/8 x)) |
(+ t (* 1/8 x)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
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(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
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t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
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t |
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t |
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t |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
t |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
t |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
t |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
t |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
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(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
t |
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(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 (* y z)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
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(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
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(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
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(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
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(* -1/2 z) |
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(* 1/8 x) |
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(* y z) |
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(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
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(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1/2 (* y z)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
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(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
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(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
t |
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(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
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(* 1/8 x) |
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(* 1/8 x) |
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(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
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(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* 1/8 x) |
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(* 1/8 x) |
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(* 1/8 x) |
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(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* 1/8 x) |
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(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
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(* 1/8 x) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
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(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* 1/8 x) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(* 1/8 x) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* 1/8 x) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
| Outputs |
|---|
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(+ t (* -1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(+ t (* -1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(+ t (* -1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(* t (+ 1 (* 1/8 (/ x t)))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
t |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
t |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(+ t (* -1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(+ t (* -1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(+ t (* -1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
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(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(- t (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- t (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(- t (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- t (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (+ 1/8 (/ t x))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(* x (+ 1/8 (/ t x))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(* x (+ 1/8 (/ t x))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t)) |
| 16 282× | lower-fma.f32 |
| 16 276× | lower-fma.f64 |
| 5 556× | lower-*.f32 |
| 5 548× | lower-*.f64 |
| 3 286× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 118 |
| 0 | 35 | 118 |
| 1 | 131 | 113 |
| 2 | 909 | 113 |
| 0 | 9069 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(*.f64 z y) |
(*.f64 x #s(literal 1/8 binary64)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(*.f64 #s(literal -1/2 binary64) z) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (*.f64 z y)) (*.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 z y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 #s(literal -1/16 binary64) x))))))) |
(*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) y) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) y) z (*.f64 #s(literal -1/64 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 z y) z) y))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) y) z (*.f64 #s(literal -1/64 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (*.f64 z y)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 z y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 #s(literal -1/16 binary64) x)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) y) z) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) y) z) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) y) z) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) y) z) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) t)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) t) (*.f64 t t))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) t) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) t))) |
(/.f64 (fma.f64 t t (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 z y) z) y))) (-.f64 t (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (*.f64 z y)) (*.f64 (*.f64 (neg.f64 t) t) t)) (neg.f64 (fma.f64 t t (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) t))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (*.f64 z y)) (*.f64 (*.f64 (neg.f64 t) t) t)) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) y) z (*.f64 t (-.f64 t (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) (fma.f64 (*.f64 z #s(literal 1/2 binary64)) y t)) (fma.f64 (*.f64 z #s(literal 1/2 binary64)) y t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) y) z) (*.f64 t t)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) t)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (*.f64 z y)) (*.f64 (*.f64 t t) t)) (fma.f64 t t (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) t)))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (*.f64 z y)) (*.f64 (*.f64 t t) t)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) y) z (*.f64 t (-.f64 t (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (fma.f64 t t (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 z y) z) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) t))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (*.f64 z y)) (*.f64 (*.f64 t t) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (*.f64 z y)) (*.f64 (*.f64 t t) t)) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) y) z (*.f64 t (-.f64 t (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))))) |
(neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) t)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (neg.f64 (neg.f64 t))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (neg.f64 (neg.f64 t))) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t) |
(fma.f64 (neg.f64 y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t))) |
(fma.f64 (neg.f64 y) (*.f64 z #s(literal 1/2 binary64)) t) |
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t))) |
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64)) t) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (neg.f64 (neg.f64 t))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) t) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y) (neg.f64 (neg.f64 t))) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y) t) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) z) (neg.f64 (neg.f64 t))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) z) t) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) y) z) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z #s(literal 1/2 binary64)) y t)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) t)))) |
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64) (neg.f64 (neg.f64 t))) |
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64) t) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (neg.f64 (neg.f64 t))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 (neg.f64 t))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (neg.f64 (neg.f64 t))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) t) |
(fma.f64 z (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 (neg.f64 t))) |
(fma.f64 z (neg.f64 (*.f64 y #s(literal 1/2 binary64))) t) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (neg.f64 t))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) (neg.f64 (neg.f64 t))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) t) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) (neg.f64 (neg.f64 t))) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (neg.f64 (neg.f64 t))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) t) |
(-.f64 (+.f64 t #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(-.f64 (/.f64 (*.f64 t t) (-.f64 t (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) y) z) (-.f64 t (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 z y) z) y)) (fma.f64 (*.f64 z #s(literal 1/2 binary64)) y t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) t))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) t)) |
(-.f64 t (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 z y) z) y)) (fma.f64 (*.f64 z #s(literal 1/2 binary64)) y t)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) t)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (neg.f64 (neg.f64 t))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) t) |
(+.f64 t (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(*.f64 (neg.f64 z) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) z) |
(*.f64 z #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 z)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 z) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) z)) |
(/.f64 z #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) z))) |
(neg.f64 (*.f64 z #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/2 binary64))) |
Compiled 8 879 to 526 computations (94.1% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 681 | 1 | 682 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 682 | 5 | 687 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
| ✓ | 64.2% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
| ✓ | 69.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) |
| ▶ | 38.2% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
| ✓ | 34.3% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
Compiled 51 to 35 computations (31.4% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
| 704× | lower-fma.f64 |
| 704× | lower-fma.f32 |
| 320× | lower-*.f32 |
| 316× | lower-*.f64 |
| 158× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 28 |
| 0 | 20 | 28 |
| 1 | 35 | 28 |
| 2 | 66 | 28 |
| 3 | 117 | 28 |
| 4 | 198 | 28 |
| 5 | 326 | 28 |
| 6 | 487 | 28 |
| 7 | 661 | 28 |
| 8 | 791 | 28 |
| 9 | 793 | 28 |
| 0 | 793 | 26 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
(*.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
z |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(*.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
y |
#s(literal -1/2 binary64) |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) | |
| accuracy | 0 | (*.f64 y #s(literal -1/2 binary64)) | |
| accuracy | 39.539120117769656 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
| 24.0ms | 256× | 0 | valid |
Compiled 26 to 18 computations (30.8% saved)
ival-mult: 6.0ms (49.3% of total)ival-div: 3.0ms (24.6% of total)ival-sub: 1.0ms (8.2% of total)ival-add: 1.0ms (8.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt t (taylor inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt t (taylor -inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ t (* 1/8 x)) (taylor 0 z) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) (taylor inf z) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) (taylor inf z) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) (taylor inf z) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor -inf z) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) (taylor -inf z) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) (taylor -inf z) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) (taylor -inf z) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor -inf z) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor -inf z) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor -inf z) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor -inf z) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ t (* 1/8 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor inf y) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) (taylor inf y) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) (taylor inf y) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) (taylor inf y) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor -inf y) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) (taylor -inf y) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) (taylor -inf y) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/2 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 x) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | z | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* (* y -1/2) z) (* y -1/2)) |
| 8.0ms | z | @ | 0 | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* (* y -1/2) z) (* y -1/2)) |
| 1.0ms | y | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* (* y -1/2) z) (* y -1/2)) |
| 1.0ms | y | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* (* y -1/2) z) (* y -1/2)) |
| 1.0ms | z | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* (* y -1/2) z) (* y -1/2)) |
| 1× | egg-herbie |
| 6 658× | lower-fma.f64 |
| 6 658× | lower-fma.f32 |
| 2 362× | lower-*.f64 |
| 2 362× | lower-*.f32 |
| 1 764× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 606 |
| 1 | 188 | 606 |
| 2 | 496 | 606 |
| 3 | 1534 | 606 |
| 4 | 4397 | 606 |
| 5 | 7460 | 606 |
| 0 | 8182 | 530 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/8 x) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
t |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 (* y z)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 (* y z)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* 1/8 x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* 1/8 x) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
| Outputs |
|---|
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
t |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(+ t (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(- t (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
| 9 514× | lower-fma.f64 |
| 9 514× | lower-fma.f32 |
| 4 588× | lower-*.f32 |
| 4 584× | lower-*.f64 |
| 2 730× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 25 |
| 0 | 20 | 25 |
| 1 | 69 | 25 |
| 2 | 511 | 25 |
| 3 | 6526 | 25 |
| 0 | 8084 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
(*.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)) z) |
(*.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (neg.f64 z) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) z) y) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(*.f64 z (/.f64 (neg.f64 y) #s(literal 2 binary64))) |
(*.f64 z (/.f64 y #s(literal -2 binary64))) |
(*.f64 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(*.f64 z (neg.f64 (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 y (*.f64 #s(literal -1/2 binary64) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) |
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 z y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 z y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z)) |
(/.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) z)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) #s(literal -1/4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (*.f64 z y))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 z y) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(/.f64 (*.f64 (neg.f64 y) z) #s(literal 2 binary64)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(/.f64 (*.f64 z y) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 z y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 z y))) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 y #s(literal -1/2 binary64)) |
Compiled 997 to 90 computations (91% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 121 | 0 | 121 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 121 | 5 | 126 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
| ✓ | 64.2% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
| ✓ | 69.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) |
| ✓ | 38.2% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
| ✓ | 34.3% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
Compiled 105 to 59 computations (43.8% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) |
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
9 calls:
| 19.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 3.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 3.0ms | y |
| 3.0ms | t |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | y |
| 99.4% | 1 | z |
| 99.4% | 1 | t |
| 99.4% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 99.4% | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 99.4% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 99.4% | 1 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 99.4% | 1 | (*.f64 y z) |
Compiled 77 to 61 computations (20.8% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
9 calls:
| 26.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 3.0ms | x |
| 3.0ms | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 3.0ms | t |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.8% | 3 | x |
| 88.5% | 3 | y |
| 87.7% | 3 | z |
| 89.3% | 3 | t |
| 80.9% | 4 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 88.9% | 3 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 89.8% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 92.7% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 92.7% | 3 | (*.f64 y z) |
Compiled 77 to 61 computations (20.8% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
5 calls:
| 6.0ms | (*.f64 y z) |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 2.0ms | x |
| 2.0ms | t |
| 2.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.1% | 5 | t |
| 64.2% | 1 | x |
| 64.2% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 89.2% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 89.2% | 3 | (*.f64 y z) |
Compiled 35 to 28 computations (20% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
3 calls:
| 2.0ms | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 2.0ms | (*.f64 y z) |
| 2.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.5% | 3 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 88.6% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 88.6% | 3 | (*.f64 y z) |
Compiled 31 to 24 computations (22.6% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
7 calls:
| 8.0ms | y |
| 2.0ms | z |
| 2.0ms | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 2.0ms | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.2% | 1 | t |
| 64.2% | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 64.2% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 64.2% | 1 | z |
| 64.2% | 1 | y |
| 64.2% | 1 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 64.2% | 1 | (*.f64 y z) |
Compiled 63 to 49 computations (22.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
9 calls:
| 3.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 1.0ms | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 1.0ms | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 1.0ms | t |
| 1.0ms | (*.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.3% | 1 | y |
| 34.3% | 1 | t |
| 34.3% | 1 | x |
| 34.3% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 34.3% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 34.3% | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 34.3% | 1 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 34.3% | 1 | (*.f64 y z) |
| 34.3% | 1 | z |
Compiled 77 to 61 computations (20.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3739914937844867e+51 | 1.139364655711972e+57 |
| 0.0ms | -2.0656846472605038e+45 | -2.34367097633501e+38 |
Compiled 20 to 20 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.537528510918747e+147 | 6.2119496209341155e+147 |
| 0.0ms | -5.187561889674298e+59 | -1.6673966084333669e+53 |
Compiled 20 to 20 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.537528510918747e+147 | 6.2119496209341155e+147 |
| 0.0ms | -5.187561889674298e+59 | -1.6673966084333669e+53 |
Compiled 20 to 20 computations (0% saved)
| 1× | egg-herbie |
| 24× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 232 |
| 1 | 61 | 232 |
| 2 | 69 | 232 |
| 3 | 81 | 232 |
| 4 | 90 | 232 |
| 5 | 96 | 232 |
| 6 | 98 | 232 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
(if (<=.f64 (*.f64 y z) #s(literal -1999999999999999859514578049071102439861518336 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (*.f64 y z) #s(literal 3999999999999999972883794697446511905846833767776256 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)))) |
(if (<=.f64 (*.f64 y z) #s(literal -499999999999999974693567648537009433481822505506705036541952 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 y z) #s(literal 5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)))) |
(if (<=.f64 (*.f64 y z) #s(literal -499999999999999974693567648537009433481822505506705036541952 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 y z) #s(literal 5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
(+.f64 t (-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) #s(literal 8 binary64))) (/.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(if (<=.f64 (*.f64 y z) #s(literal -1999999999999999859514578049071102439861518336 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (*.f64 y z) #s(literal 3999999999999999972883794697446511905846833767776256 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)))) |
(if (<=.f64 (*.f64 z y) #s(literal -1999999999999999859514578049071102439861518336 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (*.f64 z y) #s(literal 3999999999999999972883794697446511905846833767776256 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)))) |
(if (<=.f64 (*.f64 y z) #s(literal -499999999999999974693567648537009433481822505506705036541952 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 y z) #s(literal 5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)))) |
(if (<=.f64 (*.f64 z y) #s(literal -499999999999999974693567648537009433481822505506705036541952 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 z y) #s(literal 5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)))) |
(if (<=.f64 (*.f64 y z) #s(literal -499999999999999974693567648537009433481822505506705036541952 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 y z) #s(literal 5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))) |
(if (<=.f64 (*.f64 z y) #s(literal -499999999999999974693567648537009433481822505506705036541952 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 z y) #s(literal 5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) |
| 16 282× | lower-fma.f32 |
| 16 276× | lower-fma.f64 |
| 10 994× | lower-fma.f64 |
| 10 994× | lower-fma.f32 |
| 5 556× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 922 |
| 1 | 242 | 922 |
| 2 | 634 | 922 |
| 3 | 1915 | 922 |
| 4 | 5132 | 922 |
| 0 | 8095 | 819 |
| 0 | 27 | 118 |
| 0 | 35 | 118 |
| 1 | 131 | 113 |
| 2 | 909 | 113 |
| 0 | 9069 | 108 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 201 to 101 computations (49.8% saved)
(sort y z)
Compiled 396 to 198 computations (50% saved)
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