
Time bar (total: 9.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 6 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 7 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 8 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 9 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 10 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 11 |
| 48.4% | 48.3% | 51.5% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 13 to 12 computations (7.7% saved)
| 799.0ms | 8 256× | 0 | valid |
ival-mult: 295.0ms (72.9% of total)ival-div: 60.0ms (14.8% of total)ival-sub: 36.0ms (8.9% of total)ival-true: 6.0ms (1.5% of total)exact: 5.0ms (1.2% of total)ival-assert: 4.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 24 | 0 | - | 3 | (-5.122445558059591e+166 1.0408206732729958e+164 -3.76962390526202e+218 6.688147252799954e+258) | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 9 | 0 | - | 9 | (6.883409150320453e-175 3.0789005368573645e+119 1.0423051845205204e+287 8.690292312865797e+201) | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 t z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) | n/o | 17 | 0 |
| ↳ | (*.f64 t z) | overflow | 33 | |
| ↳ | (*.f64 y z) | overflow | 41 | |
| ↳ | (-.f64 (*.f64 y z) (*.f64 t z)) | overflow | 60 | |
/.f64 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) | n/u | 4 | 0 |
| ↳ | (*.f64 t z) | underflow | 28 | |
| ↳ | (*.f64 y z) | underflow | 32 | |
| ↳ | (-.f64 (*.f64 y z) (*.f64 t z)) | underflow | 10 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 21 | 12 |
| - | 0 | 223 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 21 | 0 | 12 |
| - | 0 | 0 | 223 |
| number | freq |
|---|---|
| 0 | 235 |
| 1 | 21 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 39.0ms | 512× | 0 | valid |
Compiled 111 to 47 computations (57.7% saved)
ival-mult: 10.0ms (50% of total)ival-div: 6.0ms (30% of total)ival-sub: 3.0ms (15% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 186× | div-sub |
| 880× | lower-fma.f64 |
| 880× | lower-fma.f32 |
| 852× | associate-/r* |
| 846× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 137 |
| 1 | 177 | 126 |
| 2 | 472 | 126 |
| 3 | 1807 | 126 |
| 4 | 4450 | 126 |
| 5 | 6516 | 126 |
| 6 | 7612 | 126 |
| 7 | 7820 | 126 |
| 8 | 7898 | 126 |
| 0 | 10 | 11 |
| 0 | 15 | 9 |
| 1 | 27 | 9 |
| 2 | 53 | 9 |
| 3 | 88 | 9 |
| 4 | 119 | 9 |
| 5 | 170 | 9 |
| 6 | 302 | 9 |
| 7 | 492 | 9 |
| 8 | 844 | 9 |
| 9 | 1860 | 9 |
| 10 | 2436 | 9 |
| 11 | 2610 | 9 |
| 12 | 2709 | 9 |
| 13 | 2762 | 9 |
| 14 | 2765 | 9 |
| 15 | 2803 | 9 |
| 16 | 2803 | 9 |
| 0 | 2803 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(negabs z)
(negabs x)
Compiled 11 to 10 computations (9.1% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.2% | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 320 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 880× | lower-fma.f64 |
| 880× | lower-fma.f32 |
| 846× | times-frac |
| 784× | lower-*.f32 |
| 778× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 0 | 15 | 28 |
| 1 | 27 | 28 |
| 2 | 53 | 28 |
| 3 | 88 | 28 |
| 4 | 119 | 28 |
| 5 | 170 | 28 |
| 6 | 302 | 28 |
| 7 | 492 | 28 |
| 8 | 844 | 28 |
| 9 | 1860 | 28 |
| 10 | 2436 | 28 |
| 11 | 2610 | 28 |
| 12 | 2709 | 28 |
| 13 | 2762 | 28 |
| 14 | 2765 | 28 |
| 15 | 2803 | 28 |
| 16 | 2803 | 28 |
| 0 | 2803 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(-.f64 (*.f64 y z) (*.f64 t z)) |
(*.f64 y z) |
y |
z |
(*.f64 t z) |
t |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(-.f64 (*.f64 y z) (*.f64 t z)) |
(*.f64 (-.f64 y t) z) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(*.f64 t z) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 2.003897993320823 | (-.f64 (*.f64 y z) (*.f64 t z)) | |
| accuracy | 5.434494371757319 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 17.0ms | 256× | 0 | valid |
Compiled 34 to 12 computations (64.7% saved)
ival-mult: 5.0ms (58% of total)ival-div: 2.0ms (23.2% of total)ival-sub: 1.0ms (11.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y z) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* y z) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* y z) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* y z) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t 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 (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ x (* z (- y t)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* z (- (* -1 y) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
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#s(alt (- (* y z) (* t z)) (taylor 0 y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* y (+ (* -1 z) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | t | @ | inf | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 2.0ms | x | @ | 0 | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 2.0ms | z | @ | -inf | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 1.0ms | z | @ | inf | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 1.0ms | x | @ | inf | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 1× | egg-herbie |
| 9 616× | lower-fma.f64 |
| 9 616× | lower-fma.f32 |
| 5 624× | lower-*.f64 |
| 5 624× | lower-*.f32 |
| 2 346× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 1157 |
| 1 | 621 | 1109 |
| 2 | 2090 | 1067 |
| 3 | 5449 | 1063 |
| 0 | 8463 | 1032 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* -1 (* t z)) |
(* t (- (/ (* y z) t) z)) |
(* t (- (/ (* y z) t) z)) |
(* t (- (/ (* y z) t) z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(* -1 (* t z)) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -1 (* t z)) |
(- (* y z) (* t z)) |
(- (* y z) (* t z)) |
(- (* y z) (* t z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* y z) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
| Outputs |
|---|
(* y z) |
(*.f64 z y) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 (/.f64 (/.f64 t y) y) x (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 (/.f64 (/.f64 t y) y) x (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* t (- (/ (* y z) t) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* t (- (/ (* y z) t) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* t (- (/ (* y z) t) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(*.f64 (*.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z)) (/.f64 #s(literal -2 binary64) t)) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 t t)) (/.f64 y t)) (/.f64 x z)) t)) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z) (*.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 t t)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) t)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(*.f64 (*.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z)) (/.f64 #s(literal -2 binary64) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x z) (fma.f64 y (/.f64 y t) y)) (/.f64 #s(literal -2 binary64) t) (*.f64 (/.f64 x z) #s(literal -2 binary64))) t) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x z) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) t))) t))) t)) t) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(- (* y z) (* t z)) |
(*.f64 (-.f64 y t) z) |
(- (* y z) (* t z)) |
(*.f64 (-.f64 y t) z) |
(- (* y z) (* t z)) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (fma.f64 (/.f64 (/.f64 x t) t) y (/.f64 x t))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) y (/.f64 x (*.f64 (*.f64 t t) z))) y (/.f64 x (*.f64 t z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) z) (fma.f64 (/.f64 (/.f64 x t) t) y (/.f64 x t)) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) z) (fma.f64 (/.f64 x (pow.f64 t #s(literal 4 binary64))) y (/.f64 x (pow.f64 t #s(literal 3 binary64))))) (*.f64 y y))) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 x z) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 t y)) (/.f64 t y)) (/.f64 x z)) y)) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x z) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 t y)) (/.f64 t y) (pow.f64 (/.f64 t y) #s(literal 3 binary64))) (/.f64 x z))) y) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x z) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 x z) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x z) (/.f64 (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) y)) y)))) y)) y) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
| 4 490× | lower-*.f32 |
| 4 484× | lower-*.f64 |
| 3 948× | lower-/.f32 |
| 3 946× | lower-/.f64 |
| 3 788× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 0 | 15 | 23 |
| 1 | 48 | 23 |
| 2 | 330 | 23 |
| 3 | 3469 | 23 |
| 0 | 8227 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 y z) (*.f64 t z)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 y z) |
(*.f64 t z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| Outputs |
|---|
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(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x)) (-.f64 y t)) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z z) t) (-.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (-.f64 y t) z)) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (-.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (*.f64 z y) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) |
(/.f64 (*.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 y t)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x z))) (-.f64 y t)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (-.f64 y t))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (*.f64 (neg.f64 z) (-.f64 y t))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 z (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 x z))) (neg.f64 (-.f64 y t))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) z) (+.f64 t y))) (*.f64 (*.f64 (+.f64 t y) z) (*.f64 (neg.f64 z) (-.f64 y t)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (neg.f64 (/.f64 (/.f64 (-.f64 y t) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) z)) (neg.f64 (/.f64 (-.f64 y t) x))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 z z) t) (-.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (*.f64 (-.f64 y t) z))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (-.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (*.f64 z y) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) z) (+.f64 t y)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (pow.f64 (*.f64 (+.f64 t y) z) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 x z)) (-.f64 y t)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 y t) x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z (*.f64 (-.f64 y t) #s(literal 1/2 binary64))))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 y t)) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (-.f64 y t) x)) |
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y t) (*.f64 #s(literal 2 binary64) (/.f64 x z))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (/.f64 (-.f64 y t) x)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y t) (*.f64 #s(literal 2 binary64) (/.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x)))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 z) (-.f64 y t))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z)) |
(/.f64 x (*.f64 z (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 y t))))) |
(neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 y t)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 z y))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 z y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) y))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)))) |
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 t z) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (*.f64 t z) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 y t) z)) (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 y t)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 y t)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 t z) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (*.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (*.f64 (*.f64 t z) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 z y))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 z y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) y))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)))) |
Compiled 12 941 to 1 369 computations (89.4% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 530 | 14 | 544 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 531 | 14 | 545 |
| Status | Accuracy | Program |
|---|---|---|
| 90.6% | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) | |
| 91.4% | (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) | |
| 52.3% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 y t) z)) (*.f64 (*.f64 (neg.f64 z) (-.f64 y t)) (*.f64 #s(literal -2 binary64) x))) (*.f64 (*.f64 (neg.f64 z) (-.f64 y t)) (*.f64 (-.f64 y t) z))) | |
| 91.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) | |
| ▶ | 91.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
| 55.8% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) | |
| 53.7% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| 90.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y t) (*.f64 #s(literal 2 binary64) (/.f64 x z)))) | |
| ▶ | 88.3% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x)))) |
| ▶ | 92.7% | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
| ▶ | 91.3% | (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
| 91.4% | (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) | |
| ▶ | 55.8% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
| 49.8% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (*.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z)) (/.f64 #s(literal -2 binary64) t))) |
Compiled 316 to 288 computations (8.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 y t) x) | |
| cost-diff | 0 | (*.f64 z (/.f64 (-.f64 y t) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x)))) | |
| cost-diff | 0 | (-.f64 y t) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (-.f64 y t)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) | |
| cost-diff | -384 | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) | |
| cost-diff | 0 | (-.f64 y t) | |
| cost-diff | 0 | (*.f64 (-.f64 y t) z) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | (/.f64 x (*.f64 t z)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) | |
| cost-diff | 0 | (-.f64 y t) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) z) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
| 2 982× | lower-fma.f64 |
| 2 982× | lower-fma.f32 |
| 2 248× | lower-*.f32 |
| 2 232× | lower-*.f64 |
| 1 840× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 156 |
| 0 | 48 | 152 |
| 1 | 91 | 152 |
| 2 | 161 | 152 |
| 3 | 274 | 152 |
| 4 | 518 | 152 |
| 5 | 933 | 152 |
| 6 | 2091 | 152 |
| 7 | 3683 | 152 |
| 8 | 5262 | 152 |
| 9 | 7180 | 152 |
| 10 | 7962 | 152 |
| 0 | 8005 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(-.f64 y t) |
y |
t |
x |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/.f64 x (*.f64 t z)) |
x |
(*.f64 t z) |
t |
z |
#s(literal -2 binary64) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 (-.f64 y t) z) |
(-.f64 y t) |
y |
t |
z |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
(/.f64 x z) |
x |
z |
(/.f64 #s(literal 2 binary64) (-.f64 y t)) |
#s(literal 2 binary64) |
(-.f64 y t) |
y |
t |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x)))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x))) |
#s(literal 1/2 binary64) |
(*.f64 z (/.f64 (-.f64 y t) x)) |
z |
(/.f64 (-.f64 y t) x) |
(-.f64 y t) |
y |
t |
x |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) |
(/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 t y)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(-.f64 y t) |
y |
t |
x |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 t z)))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 t z))) |
(/.f64 x (*.f64 t z)) |
x |
(*.f64 t z) |
t |
z |
#s(literal -2 binary64) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 (-.f64 y t) z) |
(-.f64 y t) |
y |
t |
z |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(/.f64 x z) |
x |
z |
(/.f64 #s(literal 2 binary64) (-.f64 y t)) |
(/.f64 #s(literal -2 binary64) (-.f64 t y)) |
#s(literal 2 binary64) |
(-.f64 y t) |
y |
t |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x)))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x))) |
(*.f64 (*.f64 (/.f64 (-.f64 y t) x) z) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 z (/.f64 (-.f64 y t) x)) |
(*.f64 (/.f64 (-.f64 y t) x) z) |
z |
(/.f64 (-.f64 y t) x) |
(-.f64 y t) |
y |
t |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x))) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 y t) x) | |
| accuracy | 1.1159980191189207 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x)))) | |
| accuracy | 6.474982316513309 | (*.f64 z (/.f64 (-.f64 y t) x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (-.f64 y t) | |
| accuracy | 0.015625 | (/.f64 #s(literal 2 binary64) (-.f64 y t)) | |
| accuracy | 5.572826245508604 | (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) | |
| accuracy | 0 | (-.f64 y t) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.015625 | (*.f64 (-.f64 y t) z) | |
| accuracy | 5.434494371757319 | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 0.01171875 | (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) | |
| accuracy | 3.845976278492047 | (/.f64 x (*.f64 t z)) | |
| accuracy | 25.752635507897754 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) z) | |
| accuracy | 0 | (-.f64 y t) | |
| accuracy | 0.1796875 | (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) | |
| accuracy | 4.6146351374828205 | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
| 58.0ms | 256× | 0 | valid |
Compiled 150 to 30 computations (80% saved)
ival-mult: 16.0ms (48.2% of total)ival-div: 14.0ms (42.2% of total)ival-sub: 2.0ms (6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) z) (patch (/.f64 #s(literal 2 binary64) z) #<representation binary64>) () ()) |
#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (-.f64 y t)) (patch (/.f64 #s(literal 2 binary64) (-.f64 y t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x))) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (/.f64 (-.f64 y t) x)) (patch (*.f64 z (/.f64 (-.f64 y t) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y t) x) (patch (/.f64 (-.f64 y t) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (* y z)) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 y) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (-.f64 y t)) (patch (/.f64 #s(literal 2 binary64) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (-.f64 y t)) (patch (/.f64 #s(literal 2 binary64) (-.f64 y t)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* z (- y t)) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 (-.f64 y t) x)) (patch (*.f64 z (/.f64 (-.f64 y t) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y t)) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 (-.f64 y t) x)) (patch (*.f64 z (/.f64 (-.f64 y t) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y t)) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 (-.f64 y t) x)) (patch (*.f64 z (/.f64 (-.f64 y t) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y t) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 y t) x) (patch (/.f64 (-.f64 y t) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y t) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 y t) x) (patch (/.f64 (-.f64 y t) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y t) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 y t) x) (patch (/.f64 (-.f64 y t) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y t) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 y t) x) (patch (/.f64 (-.f64 y t) x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | z | @ | inf | ((* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 z) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 1 (* 1/2 (* z (/ (- y t) x)))) (* 1/2 (* z (/ (- y t) x))) (* z (/ (- y t) x)) (/ (- y t) x)) |
| 12.0ms | x | @ | -inf | ((* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 z) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 1 (* 1/2 (* z (/ (- y t) x)))) (* 1/2 (* z (/ (- y t) x))) (* z (/ (- y t) x)) (/ (- y t) x)) |
| 5.0ms | t | @ | -inf | ((* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 z) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 1 (* 1/2 (* z (/ (- y t) x)))) (* 1/2 (* z (/ (- y t) x))) (* z (/ (- y t) x)) (/ (- y t) x)) |
| 4.0ms | t | @ | 0 | ((* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 z) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 1 (* 1/2 (* z (/ (- y t) x)))) (* 1/2 (* z (/ (- y t) x))) (* z (/ (- y t) x)) (/ (- y t) x)) |
| 4.0ms | z | @ | -inf | ((* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 z) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 1 (* 1/2 (* z (/ (- y t) x)))) (* 1/2 (* z (/ (- y t) x))) (* z (/ (- y t) x)) (/ (- y t) x)) |
| 1× | egg-herbie |
| 6 414× | lower-fma.f64 |
| 6 414× | lower-fma.f32 |
| 5 782× | lower-*.f64 |
| 5 782× | lower-*.f32 |
| 2 808× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 524 | 7200 |
| 1 | 1691 | 6685 |
| 2 | 5231 | 6633 |
| 0 | 8196 | 6428 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(/ 2 (* y z)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
y |
(+ y (* -1 t)) |
(+ y (* -1 t)) |
(+ y (* -1 t)) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* y z) |
(+ (* -1 (* t z)) (* y z)) |
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(+ (* -1 (* t z)) (* y z)) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(/ 2 y) |
(+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) |
(+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* 1/2 (/ (* y z) x)) |
(+ (* -1/2 (/ (* t z) x)) (* 1/2 (/ (* y z) x))) |
(+ (* -1/2 (/ (* t z) x)) (* 1/2 (/ (* y z) x))) |
(+ (* -1/2 (/ (* t z) x)) (* 1/2 (/ (* y z) x))) |
(/ (* y z) x) |
(+ (* -1 (/ (* t z) x)) (/ (* y z) x)) |
(+ (* -1 (/ (* t z) x)) (/ (* y z) x)) |
(+ (* -1 (/ (* t z) x)) (/ (* y z) x)) |
(/ y x) |
(+ (* -1 (/ t x)) (/ y x)) |
(+ (* -1 (/ t x)) (/ y x)) |
(+ (* -1 (/ t x)) (/ y x)) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(/ -2 (* t z)) |
(/ (- (* -2 (/ y (* t z))) (* 2 (/ 1 z))) t) |
(/ (- (* -2 (/ (pow y 2) (* (pow t 2) z))) (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z)))) t) |
(/ (- (* -2 (/ (pow y 3) (* (pow t 3) z))) (+ (* 2 (/ y (* t z))) (+ (* 2 (/ (pow y 2) (* (pow t 2) z))) (* 2 (/ 1 z))))) t) |
(* -1 t) |
(* t (- (/ y t) 1)) |
(* t (- (/ y t) 1)) |
(* t (- (/ y t) 1)) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (* t z)) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(/ -2 t) |
(/ (- (* -2 (/ y t)) 2) t) |
(/ (- (* -2 (/ (pow y 2) (pow t 2))) (+ 2 (* 2 (/ y t)))) t) |
(/ (- (* -2 (/ (pow y 3) (pow t 3))) (+ 2 (+ (* 2 (/ y t)) (* 2 (/ (pow y 2) (pow t 2)))))) t) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(* -1/2 (/ (* t z) x)) |
(* t (+ (* -1/2 (/ z x)) (* 1/2 (/ (* y z) (* t x))))) |
(* t (+ (* -1/2 (/ z x)) (* 1/2 (/ (* y z) (* t x))))) |
(* t (+ (* -1/2 (/ z x)) (* 1/2 (/ (* y z) (* t x))))) |
(* -1 (/ (* t z) x)) |
(* t (+ (* -1 (/ z x)) (/ (* y z) (* t x)))) |
(* t (+ (* -1 (/ z x)) (/ (* y z) (* t x)))) |
(* t (+ (* -1 (/ z x)) (/ (* y z) (* t x)))) |
(* -1 (/ t x)) |
(* t (- (/ y (* t x)) (/ 1 x))) |
(* t (- (/ y (* t x)) (/ 1 x))) |
(* t (- (/ y (* t x)) (/ 1 x))) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(/ -2 (* t z)) |
(* -1 (/ (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (/ (pow y 2) (* t z))) (* 2 (/ y z))) t)) (* 2 (/ 1 z))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) (* t z))) (* -2 (/ (pow y 2) z))) t)) (* 2 (/ y z))) t)) (* 2 (/ 1 z))) t)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ y t))))) |
(* -1 (* t (+ 1 (* -1 (/ y t))))) |
(* -1 (* t (+ 1 (* -1 (/ y t))))) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(* -2 (/ x (* t z))) |
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(/ x (* t z)) |
(/ x (* t z)) |
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(* t z) |
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(* -1 (* t z)) |
(* -1 (* t (+ z (* -1 (/ (* y z) t))))) |
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(* -1 (* t (+ z (* -1 (/ (* y z) t))))) |
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(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(/ -2 t) |
(* -1 (/ (+ 2 (* 2 (/ y t))) t)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) t)) (* 2 y)) t))) t)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) t)) (* -2 (pow y 2))) t)) (* 2 y)) t))) t)) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(* -1/2 (/ (* t z) x)) |
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(* -1 (* t (+ (* -1/2 (/ (* y z) (* t x))) (* 1/2 (/ z x))))) |
(* -1 (* t (+ (* -1/2 (/ (* y z) (* t x))) (* 1/2 (/ z x))))) |
(* -1 (/ (* t z) x)) |
(* -1 (* t (+ (* -1 (/ (* y z) (* t x))) (/ z x)))) |
(* -1 (* t (+ (* -1 (/ (* y z) (* t x))) (/ z x)))) |
(* -1 (* t (+ (* -1 (/ (* y z) (* t x))) (/ z x)))) |
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(/ x z) |
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(* 1/2 (/ (* z (- y t)) x)) |
(* 1/2 (/ (* z (- y t)) x)) |
(* 1/2 (/ (* z (- y t)) x)) |
(* 1/2 (/ (* z (- y t)) x)) |
(/ (* z (- y t)) x) |
(/ (* z (- y t)) x) |
(/ (* z (- y t)) x) |
(/ (* z (- y t)) x) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(/ -2 (* t z)) |
(- (* -2 (/ y (* (pow t 2) z))) (* 2 (/ 1 (* t z)))) |
(- (* y (- (* -2 (/ y (* (pow t 3) z))) (* 2 (/ 1 (* (pow t 2) z))))) (* 2 (/ 1 (* t z)))) |
(- (* y (- (* y (- (* -2 (/ y (* (pow t 4) z))) (* 2 (/ 1 (* (pow t 3) z))))) (* 2 (/ 1 (* (pow t 2) z))))) (* 2 (/ 1 (* t z)))) |
(* -1 t) |
(- y t) |
(- y t) |
(- y t) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* -1 (* t z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(/ -2 t) |
(- (* -2 (/ y (pow t 2))) (* 2 (/ 1 t))) |
(- (* y (- (* -2 (/ y (pow t 3))) (* 2 (/ 1 (pow t 2))))) (* 2 (/ 1 t))) |
(- (* y (- (* y (- (* -2 (/ y (pow t 4))) (* 2 (/ 1 (pow t 3))))) (* 2 (/ 1 (pow t 2))))) (* 2 (/ 1 t))) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* -1/2 (/ (* t z) x)) |
(+ (* -1/2 (/ (* t z) x)) (* 1/2 (/ (* y z) x))) |
(+ (* -1/2 (/ (* t z) x)) (* 1/2 (/ (* y z) x))) |
(+ (* -1/2 (/ (* t z) x)) (* 1/2 (/ (* y z) x))) |
(* -1 (/ (* t z) x)) |
(+ (* -1 (/ (* t z) x)) (/ (* y z) x)) |
(+ (* -1 (/ (* t z) x)) (/ (* y z) x)) |
(+ (* -1 (/ (* t z) x)) (/ (* y z) x)) |
(* -1 (/ t x)) |
(+ (* -1 (/ t x)) (/ y x)) |
(+ (* -1 (/ t x)) (/ y x)) |
(+ (* -1 (/ t x)) (/ y x)) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(/ 2 (* y z)) |
(/ (+ (* 2 (/ t (* y z))) (* 2 (/ 1 z))) y) |
(/ (- (+ (* 2 (/ (pow t 2) (* (pow y 2) z))) (* 2 (/ 1 z))) (* -2 (/ t (* y z)))) y) |
(/ (- (+ (* 2 (/ (pow t 3) (* (pow y 3) z))) (* 2 (/ 1 z))) (+ (* -2 (/ t (* y z))) (* -2 (/ (pow t 2) (* (pow y 2) z))))) y) |
y |
(* y (+ 1 (* -1 (/ t y)))) |
(* y (+ 1 (* -1 (/ t y)))) |
(* y (+ 1 (* -1 (/ t y)))) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* y z) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(/ 2 y) |
(/ (+ 2 (* 2 (/ t y))) y) |
(/ (- (+ 2 (* 2 (/ (pow t 2) (pow y 2)))) (* -2 (/ t y))) y) |
(/ (- (+ 2 (* 2 (/ (pow t 3) (pow y 3)))) (+ (* -2 (/ t y)) (* -2 (/ (pow t 2) (pow y 2))))) y) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 1/2 (/ (* y z) x)) |
(* y (+ (* -1/2 (/ (* t z) (* x y))) (* 1/2 (/ z x)))) |
(* y (+ (* -1/2 (/ (* t z) (* x y))) (* 1/2 (/ z x)))) |
(* y (+ (* -1/2 (/ (* t z) (* x y))) (* 1/2 (/ z x)))) |
(/ (* y z) x) |
(* y (+ (* -1 (/ (* t z) (* x y))) (/ z x))) |
(* y (+ (* -1 (/ (* t z) (* x y))) (/ z x))) |
(* y (+ (* -1 (/ (* t z) (* x y))) (/ z x))) |
(/ y x) |
(* y (+ (* -1 (/ t (* x y))) (/ 1 x))) |
(* y (+ (* -1 (/ t (* x y))) (/ 1 x))) |
(* y (+ (* -1 (/ t (* x y))) (/ 1 x))) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/ 2 (* y z)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
y |
(* -1 (* y (- (/ t y) 1))) |
(* -1 (* y (- (/ t y) 1))) |
(* -1 (* y (- (/ t y) 1))) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/ 2 y) |
(* -1 (/ (- (* -2 (/ t y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) y)) (* -2 t)) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) y)) (* 2 (pow t 2))) y)) (* -2 t)) y)) 2) y)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 1/2 (/ (* y z) x)) |
(* -1 (* y (+ (* -1/2 (/ z x)) (* 1/2 (/ (* t z) (* x y)))))) |
(* -1 (* y (+ (* -1/2 (/ z x)) (* 1/2 (/ (* t z) (* x y)))))) |
(* -1 (* y (+ (* -1/2 (/ z x)) (* 1/2 (/ (* t z) (* x y)))))) |
(/ (* y z) x) |
(* -1 (* y (+ (* -1 (/ z x)) (/ (* t z) (* x y))))) |
(* -1 (* y (+ (* -1 (/ z x)) (/ (* t z) (* x y))))) |
(* -1 (* y (+ (* -1 (/ z x)) (/ (* t z) (* x y))))) |
(/ y x) |
(* -1 (* y (- (/ t (* x y)) (/ 1 x)))) |
(* -1 (* y (- (/ t (* x y)) (/ 1 x)))) |
(* -1 (* y (- (/ t (* x y)) (/ 1 x)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 1/2 (/ (* z (- y t)) x)) |
(* 1/2 (/ (* z (- y t)) x)) |
(* 1/2 (/ (* z (- y t)) x)) |
(* 1/2 (/ (* z (- y t)) x)) |
(/ (* z (- y t)) x) |
(/ (* z (- y t)) x) |
(/ (* z (- y t)) x) |
(/ (* z (- y t)) x) |
(/ (- y t) x) |
(/ (- y t) x) |
(/ (- y t) x) |
(/ (- y t) x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 1/2 (/ (* z (- y t)) x)) |
(* 1/2 (/ (* z (- y t)) x)) |
(* 1/2 (/ (* z (- y t)) x)) |
(* 1/2 (/ (* z (- y t)) x)) |
(/ (* z (- y t)) x) |
(/ (* z (- y t)) x) |
(/ (* z (- y t)) x) |
(/ (* z (- y t)) x) |
(/ (- y t) x) |
(/ (- y t) x) |
(/ (- y t) x) |
(/ (- y t) x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 1/2 (/ (* z (- y t)) x)) |
(* 1/2 (/ (* z (- y t)) x)) |
(* 1/2 (/ (* z (- y t)) x)) |
(* 1/2 (/ (* z (- y t)) x)) |
(/ (* z (- y t)) x) |
(/ (* z (- y t)) x) |
(/ (* z (- y t)) x) |
(/ (* z (- y t)) x) |
(/ (- y t) x) |
(/ (- y t) x) |
(/ (- y t) x) |
(/ (- y t) x) |
| Outputs |
|---|
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 2 binary64) z) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z)) t (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z))) t (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) t (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z))) t (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
y |
(+ y (* -1 t)) |
(-.f64 y t) |
(+ y (* -1 t)) |
(-.f64 y t) |
(+ y (* -1 t)) |
(-.f64 y t) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 2 binary64) z) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 2 binary64) z) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
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(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 1/2 (/ (* z (- y t)) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 y t) z) x) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* z (- y t)) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 y t) z) x) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* z (- y t)) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 y t) z) x) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* z (- y t)) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 y t) z) x) #s(literal 1/2 binary64)) |
(/ (* z (- y t)) x) |
(/.f64 (*.f64 (-.f64 y t) z) x) |
(/ (* z (- y t)) x) |
(/.f64 (*.f64 (-.f64 y t) z) x) |
(/ (* z (- y t)) x) |
(/.f64 (*.f64 (-.f64 y t) z) x) |
(/ (* z (- y t)) x) |
(/.f64 (*.f64 (-.f64 y t) z) x) |
(/ (- y t) x) |
(/.f64 (-.f64 y t) x) |
(/ (- y t) x) |
(/.f64 (-.f64 y t) x) |
(/ (- y t) x) |
(/.f64 (-.f64 y t) x) |
(/ (- y t) x) |
(/.f64 (-.f64 y t) x) |
| 5 906× | lower-*.f32 |
| 5 890× | lower-*.f64 |
| 4 438× | lower-fma.f64 |
| 4 438× | lower-fma.f32 |
| 3 910× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 122 |
| 0 | 48 | 118 |
| 1 | 170 | 118 |
| 2 | 1035 | 118 |
| 0 | 8619 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) |
(/.f64 #s(literal 2 binary64) z) |
(-.f64 y t) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/.f64 x (*.f64 t z)) |
(*.f64 t z) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 (-.f64 y t) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
(/.f64 x z) |
(/.f64 #s(literal 2 binary64) (-.f64 y t)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x))) |
(*.f64 z (/.f64 (-.f64 y t) x)) |
(/.f64 (-.f64 y t) x) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) z) (+.f64 t y)) |
(*.f64 (*.f64 (*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y t) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 t y)))) (+.f64 t y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z)))) (*.f64 z (+.f64 t y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (-.f64 y t) x) z) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 (-.f64 y t) x) z) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y t) z))) |
(*.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 t y) (-.f64 t y)))) (+.f64 t y)) |
(*.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (-.f64 y t) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(*.f64 (*.f64 x (/.f64 (/.f64 #s(literal -2 binary64) z) (*.f64 (+.f64 t y) (-.f64 t y)))) (+.f64 t y)) |
(*.f64 (*.f64 x (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(*.f64 (*.f64 x (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z)))) (*.f64 z (+.f64 t y))) |
(*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t)))) (+.f64 t y)) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) z) #s(literal -1 binary64)) (/.f64 x (-.f64 y t))) |
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) z)) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 y t))) |
(*.f64 (/.f64 (/.f64 x z) (*.f64 (+.f64 t y) (-.f64 y t))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 x z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t))) #s(literal 1/2 binary64)) (/.f64 (+.f64 t y) z)) |
(*.f64 (/.f64 (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t))) z) (/.f64 (+.f64 t y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) z)) |
(*.f64 (/.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) z) (/.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 t y) (-.f64 t y))) z) (/.f64 (+.f64 t y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) z) (/.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 t y)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 y t))) |
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
(*.f64 (/.f64 (/.f64 x z) (-.f64 y t)) #s(literal 2 binary64)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 y t))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y t) x)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) z) (*.f64 (+.f64 t y) (-.f64 t y))) (/.f64 x (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) z) (*.f64 (+.f64 t y) (-.f64 t y))) (*.f64 (+.f64 t y) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (/.f64 x (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (*.f64 (*.f64 z (+.f64 t y)) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x)) |
(*.f64 (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t))) (/.f64 (/.f64 #s(literal 2 binary64) z) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t))) (*.f64 (+.f64 t y) (/.f64 #s(literal 2 binary64) z))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 2 binary64) z) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (/.f64 #s(literal 2 binary64) z))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 t y) (-.f64 t y))) (/.f64 (/.f64 x z) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 t y) (-.f64 t y))) (*.f64 (+.f64 t y) (/.f64 x z))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 x z) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (/.f64 x z))) |
(*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (*.f64 (+.f64 t y) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 t y))) (*.f64 (+.f64 t y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 t y))) (+.f64 t y)) |
(*.f64 (/.f64 (*.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (*.f64 (*.f64 z (+.f64 t y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (*.f64 z (+.f64 t y))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 x (-.f64 y t)) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -2 binary64) (-.f64 y t))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (-.f64 y t) x) z) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (-.f64 y t) x) z) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (-.f64 y t) x) z) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (-.f64 y t) x) z) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) z) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 y t)))) |
(*.f64 (/.f64 x (-.f64 t y)) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/2 binary64))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 t x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 t x) (+.f64 (/.f64 t x) (/.f64 y x)))))) |
(/.f64 (neg.f64 (fma.f64 y x (*.f64 (neg.f64 x) t))) (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 t y) (-.f64 t y))) (*.f64 (neg.f64 x) (neg.f64 (+.f64 t y)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 t (+.f64 t y) (*.f64 y y))))) |
(/.f64 (*.f64 (*.f64 (+.f64 t y) (-.f64 t y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (+.f64 t y)) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 t (+.f64 t y) (*.f64 y y))) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (+.f64 t y) (-.f64 y t)) #s(literal -1 binary64)) (*.f64 (+.f64 t y) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y y (*.f64 (neg.f64 t) (-.f64 (neg.f64 t) y))) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (+.f64 t y) (-.f64 t y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 t y)) x)) |
(/.f64 (*.f64 (*.f64 (+.f64 t y) (-.f64 t y)) #s(literal 1 binary64)) (*.f64 (+.f64 t y) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 t (+.f64 t y) (*.f64 y y))) x)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 t y) (-.f64 t y))) (*.f64 x (neg.f64 (+.f64 t y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 x (neg.f64 (fma.f64 t (+.f64 t y) (*.f64 y y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 t y) (-.f64 y t))) (*.f64 x (+.f64 t y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 x (fma.f64 y y (*.f64 (neg.f64 t) (-.f64 (neg.f64 t) y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 x (fma.f64 t (+.f64 t y) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 t))) (*.f64 (neg.f64 x) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (/.f64 x t)) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x t))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 x) t)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (/.f64 x y) (neg.f64 t))) (*.f64 (/.f64 x y) (neg.f64 x))) |
(/.f64 (-.f64 (/.f64 x t) (*.f64 (/.f64 x y) #s(literal 1 binary64))) (*.f64 (/.f64 x y) (/.f64 x t))) |
(/.f64 (-.f64 x (*.f64 (/.f64 x y) t)) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 (*.f64 y (neg.f64 x)) (*.f64 x (neg.f64 t))) (*.f64 x (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 y (/.f64 x t)) x) (*.f64 x (/.f64 x t))) |
(/.f64 (*.f64 (+.f64 t y) (/.f64 (-.f64 y t) x)) (+.f64 t y)) |
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) x) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(/.f64 (/.f64 (-.f64 t y) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 t x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 t y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 t x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 t x) (+.f64 (/.f64 t x) (/.f64 y x))))) |
(/.f64 (*.f64 (+.f64 t y) (-.f64 t y)) (neg.f64 (*.f64 (+.f64 t y) x))) |
(/.f64 (*.f64 (+.f64 t y) (-.f64 t y)) (neg.f64 (*.f64 x (+.f64 t y)))) |
(/.f64 (*.f64 (+.f64 t y) (-.f64 t y)) (*.f64 (neg.f64 x) (+.f64 t y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 t (+.f64 t y) (*.f64 y y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (fma.f64 y y (*.f64 (neg.f64 t) (-.f64 (neg.f64 t) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (fma.f64 t (+.f64 t y) (*.f64 y y)))) |
(/.f64 (fma.f64 y x (*.f64 (neg.f64 x) t)) (*.f64 x x)) |
(/.f64 (*.f64 (+.f64 t y) (-.f64 y t)) (*.f64 (neg.f64 (+.f64 t y)) (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 t y) (-.f64 y t)) (*.f64 x (+.f64 t y))) |
(/.f64 (*.f64 (+.f64 t y) (-.f64 y t)) (*.f64 (+.f64 t y) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 y t) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 (fma.f64 y y (*.f64 (neg.f64 t) (-.f64 (neg.f64 t) y))) x)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 t (+.f64 t y) (*.f64 y y))) (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 x (fma.f64 t (+.f64 t y) (*.f64 y y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) x)) |
(/.f64 (-.f64 t y) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 t y))) |
(/.f64 (/.f64 (-.f64 y t) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t y) (*.f64 (+.f64 t y) (/.f64 (-.f64 y t) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 t y)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 t x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 t x) (+.f64 (/.f64 t x) (/.f64 y x)))) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 t x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 t y) x) (*.f64 (+.f64 t y) (-.f64 y t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 y x (*.f64 (neg.f64 x) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 t y)) (*.f64 (+.f64 t y) (-.f64 y t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 t (+.f64 t y) (*.f64 y y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y t))) |
(/.f64 (-.f64 y t) x) |
(neg.f64 (/.f64 (/.f64 (-.f64 t y) x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (-.f64 t y) x)) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) x))) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 t) x)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) x))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 t) x)) |
(fma.f64 (neg.f64 t) (pow.f64 x #s(literal -1 binary64)) (/.f64 y x)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 t) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) y (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 t))) |
(fma.f64 (/.f64 y x) #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 t) x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 t x) (/.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 y x) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y x) (/.f64 (neg.f64 t) x)) |
(fma.f64 t (/.f64 #s(literal -1 binary64) x) (/.f64 y x)) |
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) x))) |
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 t) x)) |
(-.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (/.f64 t x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 t y))) (/.f64 (pow.f64 (/.f64 t x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 t y)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 t x) (+.f64 (/.f64 t x) (/.f64 y x))))) (/.f64 (pow.f64 (/.f64 t x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 t x) (+.f64 (/.f64 t x) (/.f64 y x)))))) |
(-.f64 (/.f64 (*.f64 y x) (*.f64 x x)) (/.f64 (*.f64 x t) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 x (+.f64 t y))) (/.f64 (*.f64 t t) (*.f64 x (+.f64 t y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (fma.f64 t (+.f64 t y) (*.f64 y y)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 x (fma.f64 t (+.f64 t y) (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 t y)) x) (/.f64 (/.f64 (*.f64 t t) (+.f64 t y)) x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 t (+.f64 t y) (*.f64 y y))) x) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (+.f64 t y) (*.f64 y y))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 t y) x)) |
(-.f64 (/.f64 y x) (/.f64 t x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 t y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y t))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 t) x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 t)) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) |
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 t))) |
(+.f64 (/.f64 (neg.f64 t) x) (/.f64 y x)) |
(+.f64 (/.f64 y x) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) x))) |
(+.f64 (/.f64 y x) (/.f64 (neg.f64 t) x)) |
Compiled 53 561 to 4 928 computations (90.8% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 876 | 9 | 2 885 |
| Fresh | 6 | 3 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 884 | 15 | 2 899 |
| Status | Accuracy | Program |
|---|---|---|
| 90.6% | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) | |
| 91.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) | |
| ✓ | 91.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
| ▶ | 53.7% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
| 88.2% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (-.f64 t y) (/.f64 #s(literal -1 binary64) x))))) | |
| 53.8% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (* z (/ (- y t) x)) (/.f64 (*.f64 z y) x)))) | |
| ▶ | 92.7% | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) |
| ✓ | 91.3% | (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
| ▶ | 56.4% | (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
| 53.7% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) | |
| ▶ | 55.8% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
| 55.4% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 #s(literal -1/2 binary64) z))) | |
| ▶ | 54.4% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
| 56.7% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64))) | |
| ✓ | 55.8% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
Compiled 242 to 257 computations (-6.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 0 | (/.f64 t x) | |
| cost-diff | 0 | (*.f64 (/.f64 t x) z) | |
| cost-diff | 0 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) | |
| cost-diff | 384 | (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (- (* y z) (* t z)) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (*.f64 t z)) | |
| cost-diff | 0 | #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) | |
| cost-diff | 0 | (-.f64 y t) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (-.f64 y t)) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) |
| 2 272× | lower-fma.f64 |
| 2 272× | lower-fma.f32 |
| 1 992× | lower-*.f32 |
| 1 978× | lower-*.f64 |
| 1 148× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 175 |
| 0 | 51 | 169 |
| 1 | 79 | 169 |
| 2 | 118 | 169 |
| 3 | 160 | 169 |
| 4 | 206 | 169 |
| 5 | 279 | 169 |
| 6 | 459 | 169 |
| 7 | 659 | 169 |
| 8 | 1253 | 169 |
| 9 | 2725 | 169 |
| 10 | 4476 | 169 |
| 11 | 5209 | 169 |
| 12 | 5429 | 169 |
| 13 | 5545 | 169 |
| 14 | 5608 | 169 |
| 15 | 5863 | 169 |
| 16 | 6738 | 169 |
| 17 | 7618 | 169 |
| 18 | 7670 | 169 |
| 19 | 7678 | 169 |
| 20 | 7682 | 169 |
| 21 | 7686 | 169 |
| 22 | 7686 | 169 |
| 23 | 7862 | 169 |
| 0 | 8008 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) |
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) |
(/.f64 #s(literal 2 binary64) (-.f64 y t)) |
#s(literal 2 binary64) |
(-.f64 y t) |
y |
t |
z |
x |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
#s(literal -2 binary64) |
(*.f64 t z) |
t |
z |
x |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) |
#s(literal -2 binary64) |
(*.f64 (/.f64 t x) z) |
(/.f64 t x) |
t |
x |
z |
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
(/.f64 x z) |
x |
z |
#s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) |
(/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 t y)) |
(/.f64 #s(literal 2 binary64) (-.f64 y t)) |
(/.f64 #s(literal -2 binary64) (-.f64 t y)) |
#s(literal 2 binary64) |
(-.f64 y t) |
y |
t |
z |
x |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 z t))) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 z t))) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 z t)) |
#s(literal -2 binary64) |
(*.f64 t z) |
(*.f64 z t) |
t |
z |
x |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) |
#s(literal -2 binary64) |
(*.f64 (/.f64 t x) z) |
(/.f64 t x) |
t |
x |
z |
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
(*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
#s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) y) | |
| accuracy | 5.572826245508604 | (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) | |
| accuracy | 31.370107474976233 | #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) | |
| accuracy | 0 | (/.f64 t x) | |
| accuracy | 0.9576082931538538 | (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) | |
| accuracy | 7.249367679828759 | (*.f64 (/.f64 t x) z) | |
| accuracy | 25.752635507897754 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 5.434494371757319 | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| accuracy | 29.70143858172448 | #s(approx (- (* y z) (* t z)) (*.f64 z y)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 0.5597539447892342 | (/.f64 #s(literal -2 binary64) (*.f64 t z)) | |
| accuracy | 4.6146351374828205 | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) | |
| accuracy | 28.65143901833192 | #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) | |
| accuracy | 0 | (-.f64 y t) | |
| accuracy | 0.015625 | (/.f64 #s(literal 2 binary64) (-.f64 y t)) | |
| accuracy | 0.20703125 | (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) | |
| accuracy | 4.6146351374828205 | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) |
| 68.0ms | 256× | 0 | valid |
Compiled 141 to 28 computations (80.1% saved)
ival-div: 19.0ms (48.9% of total)ival-mult: 15.0ms (38.6% of total)ival-sub: 4.0ms (10.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) (patch (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (-.f64 y t)) (patch (/.f64 #s(literal 2 binary64) (-.f64 y t)) #<representation binary64>) () ()) |
#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ()) |
#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) y) (patch (/.f64 #s(literal 2 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (* y z)) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) (patch (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) (patch (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) (patch (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) (patch (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 y) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (-.f64 y t)) (patch (/.f64 #s(literal 2 binary64) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (-.f64 y t)) (patch (/.f64 #s(literal 2 binary64) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (-.f64 y t)) (patch (/.f64 #s(literal 2 binary64) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (-.f64 y t)) (patch (/.f64 #s(literal 2 binary64) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (* y z)) (taylor 0 t) (#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ()) |
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#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | t | @ | inf | ((* (/ (/ 2 (- y t)) z) x) (/ (/ 2 (- y t)) z) (/ 2 (- y t)) (- y t) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ -2 (* (/ t x) z)) (/ (* x 2) (- (* y z) (* t z))) (* (/ t x) z) (/ t x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 2 y)) |
| 3.0ms | z | @ | -inf | ((* (/ (/ 2 (- y t)) z) x) (/ (/ 2 (- y t)) z) (/ 2 (- y t)) (- y t) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ -2 (* (/ t x) z)) (/ (* x 2) (- (* y z) (* t z))) (* (/ t x) z) (/ t x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 2 y)) |
| 3.0ms | x | @ | -inf | ((* (/ (/ 2 (- y t)) z) x) (/ (/ 2 (- y t)) z) (/ 2 (- y t)) (- y t) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ -2 (* (/ t x) z)) (/ (* x 2) (- (* y z) (* t z))) (* (/ t x) z) (/ t x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 2 y)) |
| 3.0ms | z | @ | inf | ((* (/ (/ 2 (- y t)) z) x) (/ (/ 2 (- y t)) z) (/ 2 (- y t)) (- y t) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ -2 (* (/ t x) z)) (/ (* x 2) (- (* y z) (* t z))) (* (/ t x) z) (/ t x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 2 y)) |
| 2.0ms | z | @ | 0 | ((* (/ (/ 2 (- y t)) z) x) (/ (/ 2 (- y t)) z) (/ 2 (- y t)) (- y t) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ -2 (* (/ t x) z)) (/ (* x 2) (- (* y z) (* t z))) (* (/ t x) z) (/ t x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 2 y)) |
| 1× | egg-herbie |
| 7 512× | lower-fma.f64 |
| 7 512× | lower-fma.f32 |
| 5 666× | lower-*.f64 |
| 5 666× | lower-*.f32 |
| 2 786× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 463 | 6968 |
| 1 | 1464 | 6640 |
| 2 | 4373 | 6400 |
| 0 | 8225 | 6121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(/ 2 (* y z)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(/ 2 y) |
(+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) |
(+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
y |
(+ y (* -1 t)) |
(+ y (* -1 t)) |
(+ y (* -1 t)) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(/ 2 (* y z)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* y z) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ t x) |
(/ t x) |
(/ t x) |
(/ t x) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(/ 2 y) |
(+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) |
(+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(/ -2 (* t z)) |
(/ (- (* -2 (/ y (* t z))) (* 2 (/ 1 z))) t) |
(/ (- (* -2 (/ (pow y 2) (* (pow t 2) z))) (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z)))) t) |
(/ (- (* -2 (/ (pow y 3) (* (pow t 3) z))) (+ (* 2 (/ y (* t z))) (+ (* 2 (/ (pow y 2) (* (pow t 2) z))) (* 2 (/ 1 z))))) t) |
(/ -2 t) |
(/ (- (* -2 (/ y t)) 2) t) |
(/ (- (* -2 (/ (pow y 2) (pow t 2))) (+ 2 (* 2 (/ y t)))) t) |
(/ (- (* -2 (/ (pow y 3) (pow t 3))) (+ 2 (+ (* 2 (/ y t)) (* 2 (/ (pow y 2) (pow t 2)))))) t) |
(* -1 t) |
(* t (- (/ y t) 1)) |
(* t (- (/ y t) 1)) |
(* t (- (/ y t) 1)) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(/ -2 (* t z)) |
(/ (- (* -2 (/ y (* t z))) (* 2 (/ 1 z))) t) |
(/ (- (* -2 (/ (pow y 2) (* (pow t 2) z))) (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z)))) t) |
(/ (- (* -2 (/ (pow y 3) (* (pow t 3) z))) (+ (* 2 (/ y (* t z))) (+ (* 2 (/ (pow y 2) (* (pow t 2) z))) (* 2 (/ 1 z))))) t) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(* -1 (* t z)) |
(* t (- (/ (* y z) t) z)) |
(* t (- (/ (* y z) t) z)) |
(* t (- (/ (* y z) t) z)) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ t x) |
(/ t x) |
(/ t x) |
(/ t x) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(/ -2 t) |
(/ (- (* -2 (/ y t)) 2) t) |
(/ (- (* -2 (/ (pow y 2) (pow t 2))) (+ 2 (* 2 (/ y t)))) t) |
(/ (- (* -2 (/ (pow y 3) (pow t 3))) (+ 2 (+ (* 2 (/ y t)) (* 2 (/ (pow y 2) (pow t 2)))))) t) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(/ -2 (* t z)) |
(* -1 (/ (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (/ (pow y 2) (* t z))) (* 2 (/ y z))) t)) (* 2 (/ 1 z))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) (* t z))) (* -2 (/ (pow y 2) z))) t)) (* 2 (/ y z))) t)) (* 2 (/ 1 z))) t)) |
(/ -2 t) |
(* -1 (/ (+ 2 (* 2 (/ y t))) t)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) t)) (* 2 y)) t))) t)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) t)) (* -2 (pow y 2))) t)) (* 2 y)) t))) t)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ y t))))) |
(* -1 (* t (+ 1 (* -1 (/ y t))))) |
(* -1 (* t (+ 1 (* -1 (/ y t))))) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(/ -2 (* t z)) |
(* -1 (/ (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (/ (pow y 2) (* t z))) (* 2 (/ y z))) t)) (* 2 (/ 1 z))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) (* t z))) (* -2 (/ (pow y 2) z))) t)) (* 2 (/ y z))) t)) (* 2 (/ 1 z))) t)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(* -1 (* t z)) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ t x) |
(/ t x) |
(/ t x) |
(/ t x) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(/ -2 t) |
(* -1 (/ (+ 2 (* 2 (/ y t))) t)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) t)) (* 2 y)) t))) t)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) t)) (* -2 (pow y 2))) t)) (* 2 y)) t))) t)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(/ -2 (* t z)) |
(- (* -2 (/ y (* (pow t 2) z))) (* 2 (/ 1 (* t z)))) |
(- (* y (- (* -2 (/ y (* (pow t 3) z))) (* 2 (/ 1 (* (pow t 2) z))))) (* 2 (/ 1 (* t z)))) |
(- (* y (- (* y (- (* -2 (/ y (* (pow t 4) z))) (* 2 (/ 1 (* (pow t 3) z))))) (* 2 (/ 1 (* (pow t 2) z))))) (* 2 (/ 1 (* t z)))) |
(/ -2 t) |
(- (* -2 (/ y (pow t 2))) (* 2 (/ 1 t))) |
(- (* y (- (* -2 (/ y (pow t 3))) (* 2 (/ 1 (pow t 2))))) (* 2 (/ 1 t))) |
(- (* y (- (* y (- (* -2 (/ y (pow t 4))) (* 2 (/ 1 (pow t 3))))) (* 2 (/ 1 (pow t 2))))) (* 2 (/ 1 t))) |
(* -1 t) |
(- y t) |
(- y t) |
(- y t) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(/ -2 (* t z)) |
(- (* -2 (/ y (* (pow t 2) z))) (* 2 (/ 1 (* t z)))) |
(- (* y (- (* -2 (/ y (* (pow t 3) z))) (* 2 (/ 1 (* (pow t 2) z))))) (* 2 (/ 1 (* t z)))) |
(- (* y (- (* y (- (* -2 (/ y (* (pow t 4) z))) (* 2 (/ 1 (* (pow t 3) z))))) (* 2 (/ 1 (* (pow t 2) z))))) (* 2 (/ 1 (* t z)))) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* -1 (* t z)) |
(- (* y z) (* t z)) |
(- (* y z) (* t z)) |
(- (* y z) (* t z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(/ -2 t) |
(- (* -2 (/ y (pow t 2))) (* 2 (/ 1 t))) |
(- (* y (- (* -2 (/ y (pow t 3))) (* 2 (/ 1 (pow t 2))))) (* 2 (/ 1 t))) |
(- (* y (- (* y (- (* -2 (/ y (pow t 4))) (* 2 (/ 1 (pow t 3))))) (* 2 (/ 1 (pow t 2))))) (* 2 (/ 1 t))) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(/ 2 (* y z)) |
(/ (+ (* 2 (/ t (* y z))) (* 2 (/ 1 z))) y) |
(/ (- (+ (* 2 (/ (pow t 2) (* (pow y 2) z))) (* 2 (/ 1 z))) (* -2 (/ t (* y z)))) y) |
(/ (- (+ (* 2 (/ (pow t 3) (* (pow y 3) z))) (* 2 (/ 1 z))) (+ (* -2 (/ t (* y z))) (* -2 (/ (pow t 2) (* (pow y 2) z))))) y) |
(/ 2 y) |
(/ (+ 2 (* 2 (/ t y))) y) |
(/ (- (+ 2 (* 2 (/ (pow t 2) (pow y 2)))) (* -2 (/ t y))) y) |
(/ (- (+ 2 (* 2 (/ (pow t 3) (pow y 3)))) (+ (* -2 (/ t y)) (* -2 (/ (pow t 2) (pow y 2))))) y) |
y |
(* y (+ 1 (* -1 (/ t y)))) |
(* y (+ 1 (* -1 (/ t y)))) |
(* y (+ 1 (* -1 (/ t y)))) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(/ 2 (* y z)) |
(/ (+ (* 2 (/ t (* y z))) (* 2 (/ 1 z))) y) |
(/ (- (+ (* 2 (/ (pow t 2) (* (pow y 2) z))) (* 2 (/ 1 z))) (* -2 (/ t (* y z)))) y) |
(/ (- (+ (* 2 (/ (pow t 3) (* (pow y 3) z))) (* 2 (/ 1 z))) (+ (* -2 (/ t (* y z))) (* -2 (/ (pow t 2) (* (pow y 2) z))))) y) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* y z) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(/ 2 y) |
(/ (+ 2 (* 2 (/ t y))) y) |
(/ (- (+ 2 (* 2 (/ (pow t 2) (pow y 2)))) (* -2 (/ t y))) y) |
(/ (- (+ 2 (* 2 (/ (pow t 3) (pow y 3)))) (+ (* -2 (/ t y)) (* -2 (/ (pow t 2) (pow y 2))))) y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/ 2 (* y z)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(/ 2 y) |
(* -1 (/ (- (* -2 (/ t y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) y)) (* -2 t)) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) y)) (* 2 (pow t 2))) y)) (* -2 t)) y)) 2) y)) |
y |
(* -1 (* y (- (/ t y) 1))) |
(* -1 (* y (- (/ t y) 1))) |
(* -1 (* y (- (/ t y) 1))) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/ 2 (* y z)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/ 2 y) |
(* -1 (/ (- (* -2 (/ t y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) y)) (* -2 t)) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) y)) (* 2 (pow t 2))) y)) (* -2 t)) y)) 2) y)) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ t x) |
(/ t x) |
(/ t x) |
(/ t x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ t x) |
(/ t x) |
(/ t x) |
(/ t x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ t x) |
(/ t x) |
(/ t x) |
(/ t x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
| Outputs |
|---|
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(/.f64 (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (*.f64 t (/.f64 t (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y)) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) t (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z))) t (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) |
(fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) t (/.f64 #s(literal 2 binary64) y)) |
(+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) t (/.f64 (/.f64 #s(literal 2 binary64) y) y)) t (/.f64 #s(literal 2 binary64) y)) |
(+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) t (/.f64 (/.f64 #s(literal 2 binary64) y) y)) t (/.f64 #s(literal 2 binary64) y)) |
y |
(+ y (* -1 t)) |
(-.f64 y t) |
(+ y (* -1 t)) |
(-.f64 y t) |
(+ y (* -1 t)) |
(-.f64 y t) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(/.f64 (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (*.f64 t (/.f64 t (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y)) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) t (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z))) t (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
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(/.f64 #s(literal 2 binary64) y) |
(* -1 (/ (- (* -2 (/ t y)) 2) y)) |
(/.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) y)) (* -2 t)) y)) 2) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 t y) t)) y) #s(literal 2 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) y)) (* 2 (pow t 2))) y)) (* -2 t)) y)) 2) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 t #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t (fma.f64 t (/.f64 t y) t))) y)) y) #s(literal 2 binary64)) y) |
y |
(* -1 (* y (- (/ t y) 1))) |
(fma.f64 (/.f64 (neg.f64 t) y) y y) |
(* -1 (* y (- (/ t y) 1))) |
(fma.f64 (/.f64 (neg.f64 t) y) y y) |
(* -1 (* y (- (/ t y) 1))) |
(fma.f64 (/.f64 (neg.f64 t) y) y y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) y))) y))) (neg.f64 y))) (neg.f64 y)) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(/.f64 (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 t (*.f64 y y)) (/.f64 t y)) (/.f64 #s(literal 2 binary64) z)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 t z) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 t z) (fma.f64 t (/.f64 t y) t))) y)) y) (/.f64 #s(literal 2 binary64) z)) y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) y))) y))) (neg.f64 y))) (neg.f64 y)) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) z) y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) z) y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) z) y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) y))) y))) (neg.f64 y))) (neg.f64 y)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) y))) y))) (neg.f64 y))) (neg.f64 y)) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(* -1 (/ (- (* -2 (/ t y)) 2) y)) |
(/.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) y)) (* -2 t)) y)) 2) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 t y) t)) y) #s(literal 2 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) y)) (* 2 (pow t 2))) y)) (* -2 t)) y)) 2) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 t #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t (fma.f64 t (/.f64 t y) t))) y)) y) #s(literal 2 binary64)) y) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
| 5 850× | lower-*.f32 |
| 5 836× | lower-*.f64 |
| 4 702× | lower-/.f32 |
| 4 686× | lower-/.f64 |
| 4 236× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 154 |
| 0 | 51 | 148 |
| 1 | 169 | 148 |
| 2 | 959 | 148 |
| 0 | 8551 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) |
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) |
(/.f64 #s(literal 2 binary64) (-.f64 y t)) |
(-.f64 y t) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(*.f64 t z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 x #s(literal 2 binary64)) |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
(*.f64 z y) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
(*.f64 (/.f64 t x) z) |
(/.f64 t x) |
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
(/.f64 x z) |
#s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 2 binary64) y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (*.f64 (+.f64 t y) (-.f64 t y))) (neg.f64 (+.f64 t y))) |
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)))) |
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) #s(literal 1 binary64)) (pow.f64 (-.f64 y t) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) z))) (+.f64 t y)) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) z)) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 t y)) (-.f64 y t))) (+.f64 t y)) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (*.f64 (neg.f64 z) (+.f64 t y))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (*.f64 (neg.f64 z) (+.f64 t y))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (*.f64 (+.f64 t y) (-.f64 y t))) (+.f64 t y)) |
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (neg.f64 t) (-.f64 (neg.f64 t) y)))) |
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(*.f64 (/.f64 x (*.f64 z #s(literal -1/2 binary64))) (pow.f64 (-.f64 t y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) z) (+.f64 t y)) |
(*.f64 (*.f64 (/.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 t y))) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)) x) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z)))) (*.f64 z (+.f64 t y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x z) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (-.f64 y t))) (+.f64 t y)) |
(*.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (-.f64 y t) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(*.f64 (*.f64 x (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 z (+.f64 t y))) (*.f64 (-.f64 y t) z))) (*.f64 z (+.f64 t y))) |
(*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (/.f64 (/.f64 #s(literal -2 binary64) z) (*.f64 (+.f64 t y) (-.f64 t y)))) (+.f64 t y)) |
(*.f64 (*.f64 x (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(*.f64 (*.f64 x (/.f64 #s(literal -2 binary64) z)) (pow.f64 (-.f64 t y) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (pow.f64 (-.f64 y t) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 t y) z)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 t y) z)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) z)) (pow.f64 (-.f64 y t) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 t y)) (/.f64 #s(literal -2 binary64) z)) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 t y)) z)) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (+.f64 t y) (*.f64 y y)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) z)) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) (pow.f64 (-.f64 t y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y t) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 z (+.f64 t y))) (*.f64 (-.f64 y t) z)) (*.f64 (*.f64 z (+.f64 t y)) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 z (+.f64 t y))) (*.f64 (-.f64 y t) z)) (/.f64 x (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) z) (*.f64 (+.f64 t y) (-.f64 t y))) (*.f64 (+.f64 t y) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) x)) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64)) (*.f64 (-.f64 y t) z)) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64)) (*.f64 (-.f64 y t) z)) (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) z) (+.f64 t y))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (-.f64 y t)) (*.f64 (+.f64 t y) (/.f64 x z))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (/.f64 x z))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (*.f64 z (+.f64 t y))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (*.f64 (*.f64 (*.f64 t y) z) (neg.f64 z)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (pow.f64 (-.f64 y t) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -2 binary64) (-.f64 y t))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) x)) |
(*.f64 (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) |
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) x) z)) |
(*.f64 (/.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 t y))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 y t) x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 t y)))) |
(*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x z))) |
(*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) z) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 t y)) (/.f64 #s(literal -2 binary64) z))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -2 binary64) (-.f64 t y)))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) z)) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (*.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 (neg.f64 x) (-.f64 y t))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal -2 binary64) (-.f64 t y))) |
(*.f64 (*.f64 (/.f64 x (-.f64 t y)) (/.f64 #s(literal -2 binary64) z)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64))) |
(*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (-.f64 y t)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) (/.f64 x z))) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) (*.f64 (-.f64 y t) z))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (pow.f64 (/.f64 (-.f64 y t) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 x (-.f64 y t))) |
(*.f64 x (/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 t y))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 t y)) x) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 x z)) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (-.f64 y t)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (-.f64 y t)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) (/.f64 x z))) |
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 x (-.f64 y t)) z)) |
(pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 t y) z)) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (*.f64 (+.f64 t y) (-.f64 y t))) (pow.f64 (+.f64 t y) #s(literal -1 binary64))) |
(/.f64 (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) x) #s(literal -1 binary64)) z) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) (-.f64 t y)) |
(/.f64 (/.f64 x (*.f64 z #s(literal -1/2 binary64))) (-.f64 t y)) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (*.f64 (-.f64 y t) z)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 z #s(literal -1 binary64))) (-.f64 t y)) |
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))) (-.f64 y t)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 y t))) (*.f64 z #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (-.f64 t y) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 x z)) (-.f64 t y)) |
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) z) x) (-.f64 t y)) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z z) t) (-.f64 t y)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (*.f64 (-.f64 y t) z)) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (-.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 t y))) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) z)) (-.f64 y t)) |
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(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t)) |
(*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (/.f64 z x) t) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 t x) z)) |
(*.f64 (neg.f64 t) (*.f64 (/.f64 #s(literal -1 binary64) x) z)) |
(*.f64 (neg.f64 z) (/.f64 (neg.f64 t) x)) |
(*.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (/.f64 t x) z) #s(literal 1 binary64)) |
(*.f64 (/.f64 t x) z) |
(*.f64 (*.f64 z t) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 z (/.f64 t x)) |
(*.f64 t (/.f64 z x)) |
(pow.f64 (/.f64 (/.f64 x t) z) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 z t) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 x) t)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) t) z)) |
(/.f64 (/.f64 z x) (pow.f64 t #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x t) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x t) z)) |
(/.f64 (neg.f64 z) (/.f64 (neg.f64 x) t)) |
(/.f64 (*.f64 (neg.f64 t) z) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 t) z) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) x) t) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 t x) z) #s(literal 1 binary64)) |
(/.f64 (*.f64 z t) x) |
(/.f64 z (/.f64 x t)) |
(/.f64 t (/.f64 x z)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 z) x) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (/.f64 (neg.f64 z) x) t)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) x) t)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x t) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 t)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) t) |
(*.f64 #s(literal 1 binary64) (/.f64 t x)) |
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 t x) #s(literal 1 binary64)) |
(*.f64 t (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 x t) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (neg.f64 x)) |
(/.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) t)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x t)) |
(/.f64 (neg.f64 t) (neg.f64 x)) |
(/.f64 t x) |
(neg.f64 (/.f64 (neg.f64 t) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 t) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 t) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x t)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (neg.f64 z)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) z) x) |
(*.f64 (*.f64 (neg.f64 x) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (/.f64 x z))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))) |
(*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
(*.f64 x (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) z)) |
(pow.f64 (/.f64 (/.f64 z x) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) (/.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))) z) |
(/.f64 (neg.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) (/.f64 (neg.f64 z) x)) |
(/.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) z) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z x) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 z x) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))) |
(/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (/.f64 z x)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) z)) |
(neg.f64 (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) (neg.f64 z))) |
(neg.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (/.f64 (neg.f64 x) z))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 x z) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z))) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
(*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) |
#s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal -2 binary64) (neg.f64 y)) |
(/.f64 #s(literal 2 binary64) y) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))) |
(neg.f64 (/.f64 #s(literal -2 binary64) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) |
Compiled 22 988 to 2 904 computations (87.4% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 471 | 6 | 1 477 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 477 | 15 | 1 492 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.0% | (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) |
| ▶ | 91.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
| ✓ | 91.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
| ✓ | 53.7% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
| 91.3% | (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 z x) (-.f64 y t))) | |
| ▶ | 53.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
| 88.2% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (-.f64 t y) (/.f64 #s(literal -1 binary64) x))))) | |
| 54.4% | (*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) z) x) | |
| ✓ | 56.4% | (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
| ▶ | 53.7% | (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
| ✓ | 55.8% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
| ▶ | 55.4% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) |
| ✓ | 54.4% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
| 56.7% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64))) | |
| ✓ | 55.8% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
Compiled 215 to 230 computations (-7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (* y z) (* t z)) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) | |
| cost-diff | 0 | (*.f64 z #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 x t) | |
| cost-diff | 0 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) | |
| cost-diff | 384 | (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (- (* y z) (* t z)) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) t) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 320 | (fma.f64 z y (*.f64 (neg.f64 z) t)) |
| 10 062× | lower-fma.f32 |
| 10 060× | lower-fma.f64 |
| 2 490× | lower-*.f32 |
| 2 476× | lower-*.f64 |
| 1 504× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 208 |
| 0 | 52 | 188 |
| 1 | 92 | 188 |
| 2 | 136 | 188 |
| 3 | 198 | 188 |
| 4 | 261 | 188 |
| 5 | 515 | 188 |
| 6 | 1288 | 188 |
| 7 | 2822 | 188 |
| 8 | 4454 | 188 |
| 9 | 6309 | 188 |
| 10 | 7207 | 188 |
| 11 | 7351 | 188 |
| 12 | 7453 | 188 |
| 13 | 7536 | 188 |
| 0 | 8077 | 188 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(fma.f64 z y (*.f64 (neg.f64 z) t)) |
z |
y |
(*.f64 (neg.f64 z) t) |
(neg.f64 z) |
t |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
#s(literal 2 binary64) |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
x |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) |
(/.f64 x t) |
x |
t |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) |
#s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
x |
z |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(fma.f64 z y (*.f64 (neg.f64 z) t)) |
(*.f64 (-.f64 y t) z) |
z |
y |
(*.f64 (neg.f64 z) t) |
(*.f64 t (neg.f64 z)) |
(neg.f64 z) |
t |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 y z))) |
(/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 y z))) |
#s(literal 2 binary64) |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
#s(approx (- (* y z) (* t z)) (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
x |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 t z)) x)) |
(/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 t z)) x) |
(/.f64 x t) |
x |
t |
(*.f64 z #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) z) |
z |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
(*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) |
#s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
x |
z |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 y z))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 y z))) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
#s(approx (- (* y z) (* t z)) (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 1.1159980191189207 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) | |
| accuracy | 5.128451155737655 | (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| accuracy | 29.70143858172448 | #s(approx (- (* y z) (* t z)) (*.f64 z y)) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.17578125 | (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) | |
| accuracy | 6.0257511867085505 | (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) | |
| accuracy | 31.370107474976233 | #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) | |
| accuracy | 0 | (/.f64 x t) | |
| accuracy | 0 | (*.f64 z #s(literal -1/2 binary64)) | |
| accuracy | 7.147449489480547 | (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) | |
| accuracy | 25.752635507897754 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.8501919004867373 | (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| accuracy | 4.6146351374828205 | (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) | |
| accuracy | 29.70143858172448 | #s(approx (- (* y z) (* t z)) (*.f64 z y)) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 1.0038952404222408 | (fma.f64 z y (*.f64 (neg.f64 z) t)) | |
| accuracy | 5.434494371757319 | (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
| 82.0ms | 256× | 0 | valid |
Compiled 168 to 33 computations (80.4% saved)
ival-div: 19.0ms (47.3% of total)ival-mult: 16.0ms (39.9% of total)ival-sub: 2.0ms (5% of total)ival-add: 1.0ms (2.5% of total)ival-neg: 1.0ms (2.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 z y (*.f64 (neg.f64 z) t)) (patch (fma.f64 z y (*.f64 (neg.f64 z) t)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) t) (patch (*.f64 (neg.f64 z) t) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) (patch (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) (patch (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) y) (patch (/.f64 #s(literal 2 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y z) (taylor 0 t) (#s(alt (fma.f64 z y (*.f64 (neg.f64 z) t)) (patch (fma.f64 z y (*.f64 (neg.f64 z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (fma.f64 z y (*.f64 (neg.f64 z) t)) (patch (fma.f64 z y (*.f64 (neg.f64 z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (fma.f64 z y (*.f64 (neg.f64 z) t)) (patch (fma.f64 z y (*.f64 (neg.f64 z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (fma.f64 z y (*.f64 (neg.f64 z) t)) (patch (fma.f64 z y (*.f64 (neg.f64 z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 z) t) (patch (*.f64 (neg.f64 z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 z) t) (patch (*.f64 (neg.f64 z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 z) t) (patch (*.f64 (neg.f64 z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 z) t) (patch (*.f64 (neg.f64 z) t) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (* y z)) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x t) (taylor 0 t) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ()) |
#s(alt (/ x t) (taylor 0 t) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ()) |
#s(alt (/ x t) (taylor 0 t) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ()) |
#s(alt (/ x t) (taylor 0 t) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) (patch (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) (patch (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) (patch (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) (patch (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x y)) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) (patch (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2)))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) (patch (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3)))))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) (patch (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4)))))))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) (patch (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 y) (taylor 0 t) (#s(alt #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (* y z) (* t z)) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (* y z) (* t z)) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (* y z) (* t z)) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (* y z) (* t z)) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (+ (* -1 (* t z)) (* y z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (+ (* -1 (* t z)) (* y z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (+ (* -1 (* t z)) (* y z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (+ (* -1 (* t z)) (* y z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ()) |
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ()) |
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ()) |
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) (patch (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) (patch (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) (patch (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) (patch (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- y t))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) (patch (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- y t))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) (patch (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- y t))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) (patch (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- y t))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) (patch (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (* y z) (* t z)) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (* y z) (* t z)) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (* y z) (* t z)) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (* y z) (* t z)) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (+ (* -1 (* t z)) (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (+ (* -1 (* t z)) (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (+ (* -1 (* t z)) (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (+ (* -1 (* t z)) (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((+ (* z y) (* (neg z) t)) (* x 2) (* (neg z) t) (neg z) (* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (/ x t) (* z -1/2)) (/ (* x 2) (- (* y z) (* t z))) (/ x t) (* z -1/2) (/ (* (/ 2 (- y t)) x) z) (* (/ 2 (- y t)) x) (/ 2 (- y t)) (/ 2 y) (/ 1 (* (/ 1/2 x) (- (* y z) (* t z)))) (* (/ 1/2 x) (- (* y z) (* t z))) (/ 1/2 x) (/ (* x 2) (+ (* z y) (* (neg z) t)))) |
| 4.0ms | z | @ | -inf | ((+ (* z y) (* (neg z) t)) (* x 2) (* (neg z) t) (neg z) (* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (/ x t) (* z -1/2)) (/ (* x 2) (- (* y z) (* t z))) (/ x t) (* z -1/2) (/ (* (/ 2 (- y t)) x) z) (* (/ 2 (- y t)) x) (/ 2 (- y t)) (/ 2 y) (/ 1 (* (/ 1/2 x) (- (* y z) (* t z)))) (* (/ 1/2 x) (- (* y z) (* t z))) (/ 1/2 x) (/ (* x 2) (+ (* z y) (* (neg z) t)))) |
| 4.0ms | x | @ | inf | ((+ (* z y) (* (neg z) t)) (* x 2) (* (neg z) t) (neg z) (* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (/ x t) (* z -1/2)) (/ (* x 2) (- (* y z) (* t z))) (/ x t) (* z -1/2) (/ (* (/ 2 (- y t)) x) z) (* (/ 2 (- y t)) x) (/ 2 (- y t)) (/ 2 y) (/ 1 (* (/ 1/2 x) (- (* y z) (* t z)))) (* (/ 1/2 x) (- (* y z) (* t z))) (/ 1/2 x) (/ (* x 2) (+ (* z y) (* (neg z) t)))) |
| 4.0ms | x | @ | -inf | ((+ (* z y) (* (neg z) t)) (* x 2) (* (neg z) t) (neg z) (* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (/ x t) (* z -1/2)) (/ (* x 2) (- (* y z) (* t z))) (/ x t) (* z -1/2) (/ (* (/ 2 (- y t)) x) z) (* (/ 2 (- y t)) x) (/ 2 (- y t)) (/ 2 y) (/ 1 (* (/ 1/2 x) (- (* y z) (* t z)))) (* (/ 1/2 x) (- (* y z) (* t z))) (/ 1/2 x) (/ (* x 2) (+ (* z y) (* (neg z) t)))) |
| 3.0ms | z | @ | 0 | ((+ (* z y) (* (neg z) t)) (* x 2) (* (neg z) t) (neg z) (* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (/ x t) (* z -1/2)) (/ (* x 2) (- (* y z) (* t z))) (/ x t) (* z -1/2) (/ (* (/ 2 (- y t)) x) z) (* (/ 2 (- y t)) x) (/ 2 (- y t)) (/ 2 y) (/ 1 (* (/ 1/2 x) (- (* y z) (* t z)))) (* (/ 1/2 x) (- (* y z) (* t z))) (/ 1/2 x) (/ (* x 2) (+ (* z y) (* (neg z) t)))) |
| 1× | egg-herbie |
| 7 958× | lower-fma.f64 |
| 7 958× | lower-fma.f32 |
| 6 384× | lower-*.f64 |
| 6 384× | lower-*.f32 |
| 2 220× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 624 | 7012 |
| 1 | 1927 | 6672 |
| 2 | 5591 | 6622 |
| 0 | 8063 | 6387 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(/ 2 (* y z)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(* y z) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(/ x t) |
(/ x t) |
(/ x t) |
(/ x t) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
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(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 1/2 (/ (* y z) x)) |
(* y (+ (* -1/2 (/ (* t z) (* x y))) (* 1/2 (/ z x)))) |
(* y (+ (* -1/2 (/ (* t z) (* x y))) (* 1/2 (/ z x)))) |
(* y (+ (* -1/2 (/ (* t z) (* x y))) (* 1/2 (/ z x)))) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/ 2 (* y z)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x y)) |
(* -1 (/ (+ (* -2 x) (* -2 (/ (* t x) y))) y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* 2 (* t x)) (* 2 (/ (* (pow t 2) x) y))) y))) y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow t 2) x)) (* -2 (/ (* (pow t 3) x) y))) y)) (* 2 (* t x))) y))) y)) |
(/ 2 y) |
(* -1 (/ (- (* -2 (/ t y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) y)) (* -2 t)) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) y)) (* 2 (pow t 2))) y)) (* -2 t)) y)) 2) y)) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 1/2 (/ (* y z) x)) |
(* -1 (* y (+ (* -1/2 (/ z x)) (* 1/2 (/ (* t z) (* x y)))))) |
(* -1 (* y (+ (* -1/2 (/ z x)) (* 1/2 (/ (* t z) (* x y)))))) |
(* -1 (* y (+ (* -1/2 (/ z x)) (* 1/2 (/ (* t z) (* x y)))))) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(/ x t) |
(/ x t) |
(/ x t) |
(/ x t) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 1/2 (/ (- (* y z) (* t z)) x)) |
(* 1/2 (/ (- (* y z) (* t z)) x)) |
(* 1/2 (/ (- (* y z) (* t z)) x)) |
(* 1/2 (/ (- (* y z) (* t z)) x)) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(/ x t) |
(/ x t) |
(/ x t) |
(/ x t) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 1/2 (/ (- (* y z) (* t z)) x)) |
(* 1/2 (/ (- (* y z) (* t z)) x)) |
(* 1/2 (/ (- (* y z) (* t z)) x)) |
(* 1/2 (/ (- (* y z) (* t z)) x)) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(/ x t) |
(/ x t) |
(/ x t) |
(/ x t) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 1/2 (/ (- (* y z) (* t z)) x)) |
(* 1/2 (/ (- (* y z) (* t z)) x)) |
(* 1/2 (/ (- (* y z) (* t z)) x)) |
(* 1/2 (/ (- (* y z) (* t z)) x)) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
| Outputs |
|---|
(* y z) |
(*.f64 z y) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z)) t (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z))) t (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) t (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z))) t (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x t) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* 2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) t (/.f64 x y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) t (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)) t (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 x (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) t (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) |
(fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) t (/.f64 #s(literal 2 binary64) y)) |
(+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) t (/.f64 (/.f64 #s(literal 2 binary64) y) y)) t (/.f64 #s(literal 2 binary64) y)) |
(+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) t (/.f64 (/.f64 #s(literal 2 binary64) y) y)) t (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* 1/2 (/ (* y z) x)) |
(*.f64 (*.f64 (/.f64 z x) #s(literal 1/2 binary64)) y) |
(+ (* -1/2 (/ (* t z) x)) (* 1/2 (/ (* y z) x))) |
(fma.f64 (*.f64 (/.f64 z x) #s(literal 1/2 binary64)) y (*.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) t)) |
(+ (* -1/2 (/ (* t z) x)) (* 1/2 (/ (* y z) x))) |
(fma.f64 (*.f64 (/.f64 z x) #s(literal 1/2 binary64)) y (*.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) t)) |
(+ (* -1/2 (/ (* t z) x)) (* 1/2 (/ (* y z) x))) |
(fma.f64 (*.f64 (/.f64 z x) #s(literal 1/2 binary64)) y (*.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) t)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
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(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
| 5 830× | lower-fma.f32 |
| 5 828× | lower-fma.f64 |
| 5 284× | lower-*.f32 |
| 5 270× | lower-*.f64 |
| 3 038× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 172 |
| 0 | 52 | 154 |
| 1 | 200 | 154 |
| 2 | 1109 | 154 |
| 0 | 8869 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 z y (*.f64 (neg.f64 z) t)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 (neg.f64 z) t) |
(neg.f64 z) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
(*.f64 z y) |
(/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) |
(/.f64 x t) |
(*.f64 z #s(literal -1/2 binary64)) |
(/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) |
#s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 2 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 y t) z) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (/.f64 (*.f64 (-.f64 y t) z) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y t) z) (-.f64 y t)) (/.f64 (*.f64 (-.f64 y t) z) z)) |
(*.f64 (/.f64 (*.f64 (-.f64 y t) z) z) (/.f64 (*.f64 (-.f64 y t) z) (+.f64 t y))) |
(*.f64 (/.f64 (*.f64 (-.f64 y t) z) z) (/.f64 (*.f64 (-.f64 y t) z) (-.f64 y t))) |
(*.f64 (*.f64 (*.f64 (-.f64 y t) z) (-.f64 y t)) (pow.f64 (+.f64 t y) #s(literal -1 binary64))) |
(*.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 t y) z)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) |
(*.f64 (*.f64 (*.f64 (-.f64 t y) z) (*.f64 (-.f64 y t) z)) (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (+.f64 t y) (-.f64 y t)) (*.f64 (pow.f64 (+.f64 t y) #s(literal -1 binary64)) z)) |
(*.f64 (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 t y) z))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64)) z)) |
(*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 y t) z) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 (-.f64 y t) z))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 t y) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y t) z)) |
(*.f64 (-.f64 y t) z) |
(*.f64 (*.f64 (-.f64 y t) z) (*.f64 (*.f64 (-.f64 y t) z) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 t y) z)))) |
(*.f64 (*.f64 (-.f64 y t) z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 z) (-.f64 t y)) |
(*.f64 z (-.f64 y (*.f64 t #s(literal -1 binary64)))) |
(*.f64 z (+.f64 y (*.f64 t #s(literal -1 binary64)))) |
(*.f64 z (fma.f64 t #s(literal -1 binary64) y)) |
(*.f64 z (+.f64 t y)) |
(*.f64 z (-.f64 y t)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 t y) z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))) (*.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)))) (+.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (fma.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (*.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 y t) z) (-.f64 y t))) (neg.f64 (+.f64 t y))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 t y) z) (*.f64 (-.f64 y t) z))) (*.f64 (-.f64 y t) z)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (pow.f64 (*.f64 t z) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (*.f64 (-.f64 y t) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (pow.f64 (*.f64 t z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) y) z) #s(literal 2 binary64))) (*.f64 (-.f64 y t) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 9 binary64)) (pow.f64 (*.f64 t z) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (*.f64 (*.f64 (-.f64 y t) z) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 y t) z) (-.f64 y t)) (+.f64 t y)) |
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (-.f64 t y) z) (*.f64 (-.f64 y t) z)) (*.f64 (-.f64 t y) z)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 (-.f64 y t) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (*.f64 (-.f64 y t) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t z) y) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 (-.f64 y t) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t y) (*.f64 (*.f64 (-.f64 y t) z) (-.f64 y t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 (-.f64 y t) z))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 t y) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 t y) z))) |
(/.f64 (*.f64 (-.f64 y t) z) #s(literal 1 binary64)) |
(/.f64 z (pow.f64 (-.f64 y t) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (-.f64 t y) z)) |
(fma.f64 (*.f64 (neg.f64 t) #s(literal -1 binary64)) z (*.f64 y z)) |
(fma.f64 (neg.f64 (*.f64 t #s(literal -1 binary64))) z (*.f64 y z)) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) z) z) (/.f64 z (+.f64 t y)) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) y) z) (/.f64 y (+.f64 t y)) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)))) |
(fma.f64 (/.f64 (*.f64 z z) z) (/.f64 (*.f64 y y) (+.f64 t y)) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)))) |
(fma.f64 (/.f64 (*.f64 y y) z) (/.f64 (*.f64 z z) (+.f64 t y)) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)))) |
(fma.f64 (/.f64 (*.f64 y z) z) (/.f64 (*.f64 y z) (+.f64 t y)) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)))) |
(fma.f64 (/.f64 y z) (/.f64 (*.f64 (*.f64 z z) y) (+.f64 t y)) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)))) |
(fma.f64 (/.f64 z z) (/.f64 (*.f64 (*.f64 y y) z) (+.f64 t y)) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)))) |
(fma.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 z) (*.f64 y z)) |
(fma.f64 (*.f64 t #s(literal -1 binary64)) z (neg.f64 (*.f64 (neg.f64 y) z))) |
(fma.f64 (*.f64 t #s(literal -1 binary64)) z (*.f64 y z)) |
(fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 t y) z)) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)))) |
(fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))) |
(fma.f64 (neg.f64 t) (neg.f64 z) (*.f64 y z)) |
(fma.f64 (neg.f64 t) z (neg.f64 (*.f64 (neg.f64 y) z))) |
(fma.f64 (neg.f64 t) z (*.f64 y z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 t z) (neg.f64 (*.f64 (neg.f64 y) z))) |
(fma.f64 #s(literal -1 binary64) (*.f64 t z) (*.f64 y z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 t (neg.f64 z)) (*.f64 y z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 t z) (*.f64 y z)) |
(fma.f64 (*.f64 t z) #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 y) z))) |
(fma.f64 (*.f64 t z) #s(literal -1 binary64) (*.f64 y z)) |
(fma.f64 (*.f64 t (neg.f64 z)) #s(literal -1 binary64) (*.f64 y z)) |
(fma.f64 t (neg.f64 z) (neg.f64 (*.f64 (neg.f64 y) z))) |
(fma.f64 t (neg.f64 z) (*.f64 y z)) |
(fma.f64 t z (*.f64 y z)) |
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(+.f64 (*.f64 (*.f64 y z) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))))) (*.f64 (*.f64 t z) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))))) |
(+.f64 (*.f64 (*.f64 t z) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))))) (*.f64 (*.f64 y z) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 t z) y) z) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 y z)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 t z))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 t z)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 y z))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 t z) y) z))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)))) |
Compiled 20 165 to 2 399 computations (88.1% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 416 | 4 | 1 420 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 420 | 15 | 1 435 |
| Status | Accuracy | Program |
|---|---|---|
| 91.4% | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) z) (-.f64 y t)) | |
| ✓ | 91.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
| ✓ | 91.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
| ✓ | 53.7% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
| 53.0% | (/.f64 #s(approx (* (/ 2 (- y t)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) | |
| 53.8% | (/.f64 #s(literal 2 binary64) (/.f64 #s(approx (- (* y z) (* t z)) (*.f64 y z)) x)) | |
| 88.2% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (-.f64 t y) (/.f64 #s(literal -1 binary64) x))))) | |
| 54.4% | (*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) z) x) | |
| ✓ | 56.4% | (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
| ✓ | 53.7% | (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
| ✓ | 55.8% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
| 56.7% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x z) (*.f64 t #s(literal -1/2 binary64)))) | |
| ✓ | 55.4% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) |
| ✓ | 54.4% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
| ✓ | 55.8% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
Compiled 463 to 266 computations (42.5% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 #s(literal -1/2 binary64) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x z) (*.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) z) x) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (- (* y z) (* t z)) (*.f64 y z)) x)) |
(/.f64 #s(approx (* (/ 2 (- y t)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) |
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 z x) (-.f64 y t))) |
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) z) (-.f64 y t)) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (* z (/ (- y t) x)) (/.f64 (*.f64 z y) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (-.f64 t y) (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y t) (*.f64 #s(literal 2 binary64) (/.f64 x z)))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (*.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z)) (/.f64 #s(literal -2 binary64) t))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 y t) z)) (*.f64 (*.f64 (neg.f64 z) (-.f64 y t)) (*.f64 #s(literal -2 binary64) x))) (*.f64 (*.f64 (neg.f64 z) (-.f64 y t)) (*.f64 (-.f64 y t) z))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
7 calls:
| 49.0ms | z |
| 19.0ms | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 10.0ms | (*.f64 x #s(literal 2 binary64)) |
| 10.0ms | t |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | x |
| 95.2% | 2 | y |
| 97.2% | 2 | z |
| 94.4% | 2 | t |
| 98.0% | 3 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 97.2% | 2 | (*.f64 x #s(literal 2 binary64)) |
| 98.3% | 3 | (-.f64 (*.f64 y z) (*.f64 t z)) |
Compiled 25 to 39 computations (-56% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 #s(literal -1/2 binary64) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x z) (*.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) z) x) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (- (* y z) (* t z)) (*.f64 y z)) x)) |
(/.f64 #s(approx (* (/ 2 (- y t)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) |
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 z x) (-.f64 y t))) |
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) z) (-.f64 y t)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) z) (-.f64 y t)) |
3 calls:
| 39.0ms | z |
| 8.0ms | (*.f64 x #s(literal 2 binary64)) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | z |
| 92.7% | 1 | x |
| 92.7% | 1 | (*.f64 x #s(literal 2 binary64)) |
Compiled 5 to 14 computations (-180% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 #s(literal -1/2 binary64) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x z) (*.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) z) x) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (- (* y z) (* t z)) (*.f64 y z)) x)) |
(/.f64 #s(approx (* (/ 2 (- y t)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) |
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 z x) (-.f64 y t))) |
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) |
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
1 calls:
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | z |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 #s(literal -1/2 binary64) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x z) (*.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) z) x) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (- (* y z) (* t z)) (*.f64 y z)) x)) |
(/.f64 #s(approx (* (/ 2 (- y t)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) |
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 z x) (-.f64 y t))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
1 calls:
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | z |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 #s(literal -1/2 binary64) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x z) (*.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) z) x) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (- (* y z) (* t z)) (*.f64 y z)) x)) |
(/.f64 #s(approx (* (/ 2 (- y t)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
1 calls:
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 2 | z |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 #s(literal -1/2 binary64) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x z) (*.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) z) x) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (- (* y z) (* t z)) (*.f64 y z)) x)) |
(/.f64 #s(approx (* (/ 2 (- y t)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
| Outputs |
|---|
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
2 calls:
| 20.0ms | z |
| 6.0ms | (-.f64 (*.f64 y z) (*.f64 t z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 96.5% | 2 | z |
Compiled 8 to 11 computations (-37.5% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 #s(literal -1/2 binary64) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x z) (*.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) z) x) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (- (* y z) (* t z)) (*.f64 y z)) x)) |
(/.f64 #s(approx (* (/ 2 (- y t)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) |
7 calls:
| 22.0ms | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 6.0ms | (*.f64 x #s(literal 2 binary64)) |
| 6.0ms | t |
| 6.0ms | y |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 1 | x |
| 91.5% | 1 | (*.f64 x #s(literal 2 binary64)) |
| 91.5% | 1 | t |
| 91.5% | 1 | y |
| 91.5% | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 91.5% | 1 | z |
| 93.7% | 2 | (-.f64 (*.f64 y z) (*.f64 t z)) |
Compiled 25 to 39 computations (-56% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 #s(literal -1/2 binary64) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x t) (*.f64 z #s(literal -1/2 binary64)))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 x z) (*.f64 t #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
3 calls:
| 11.0ms | t |
| 4.0ms | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 4.0ms | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 1 | t |
| 91.5% | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 91.5% | 1 | (-.f64 (*.f64 y z) (*.f64 t z)) |
Compiled 19 to 21 computations (-10.5% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
7 calls:
| 3.0ms | t |
| 3.0ms | (*.f64 x #s(literal 2 binary64)) |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 3 | y |
| 62.0% | 2 | x |
| 64.9% | 4 | z |
| 62.0% | 2 | (*.f64 x #s(literal 2 binary64)) |
| 63.3% | 3 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 76.3% | 3 | t |
| 60.5% | 2 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
Compiled 25 to 39 computations (-56% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 3 | y |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
| Outputs |
|---|
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 3 | y |
Compiled 1 to 4 computations (-300% saved)
Total -0.0b remaining (-0.1%)
Threshold costs -0b (-0.1%)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
| Outputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
7 calls:
| 27.0ms | (*.f64 x #s(literal 2 binary64)) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.8% | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 55.8% | 1 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 55.8% | 1 | z |
| 55.8% | 1 | x |
| 55.8% | 1 | (*.f64 x #s(literal 2 binary64)) |
| 55.8% | 1 | t |
| 55.8% | 1 | y |
Compiled 25 to 39 computations (-56% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2579655324420736e-31 | 2.4987302076794978e-29 |
Compiled 14 to 17 computations (-21.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 4.898098392404742e+76 | 3.747317028851502e+77 |
| 5.0ms | 96× | 0 | valid |
Compiled 122 to 137 computations (-12.3% saved)
ival-mult: 2.0ms (64.8% of total)ival-div: 1.0ms (32.4% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.898098392404742e+76 | 3.747317028851502e+77 |
Compiled 122 to 137 computations (-12.3% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.898098392404742e+76 | 3.747317028851502e+77 |
Compiled 50 to 57 computations (-14% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.898098392404742e+76 | 3.747317028851502e+77 |
Compiled 122 to 137 computations (-12.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.303489404360913e+247 | 1.5274697472476158e+250 |
| 0.0ms | -inf | -5.071414287429473e+301 |
Compiled 14 to 17 computations (-21.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.303489404360913e+247 | 1.5274697472476158e+250 |
Compiled 14 to 17 computations (-21.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.315027550420592e-19 | 9.17336930213625e-16 |
| 19.0ms | -2.6587112945573147e-9 | -3.9962589372302344e-14 |
| 15.0ms | 272× | 0 | valid |
Compiled 303 to 374 computations (-23.4% saved)
ival-mult: 5.0ms (58.4% of total)ival-div: 2.0ms (23.4% of total)ival-sub: 1.0ms (11.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.315027550420592e-19 | 9.17336930213625e-16 |
| 1.0ms | -2.6587112945573147e-9 | -3.9962589372302344e-14 |
Compiled 286 to 357 computations (-24.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.315027550420592e-19 | 9.17336930213625e-16 |
| 1.0ms | -2.6587112945573147e-9 | -3.9962589372302344e-14 |
Compiled 286 to 357 computations (-24.8% saved)
| 1× | egg-herbie |
| 30× | *-commutative-binary64-*.f64 |
| 10× | +-commutative-binary64-+.f64 |
| 10× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 387 |
| 1 | 104 | 387 |
| 2 | 114 | 387 |
| 3 | 119 | 387 |
| 4 | 122 | 387 |
| 5 | 123 | 387 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 35681192317649/89202980794122492566142873090593446023921664 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z)) |
(if (<=.f64 z #s(literal 55000000000000000981369353015810551861615715402103866681329908659147537121280 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) z) (-.f64 y t))) |
(if (<=.f64 z #s(literal 55000000000000000981369353015810551861615715402103866681329908659147537121280 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))) |
(if (<=.f64 z #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))) |
(if (<=.f64 z #s(literal 55000000000000000981369353015810551861615715402103866681329908659147537121280 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))) |
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal -inf.0 binary64)) (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))))) |
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(if (<=.f64 y #s(literal -6734393813712469/79228162514264337593543950336 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (if (<=.f64 y #s(literal 8437482395119095/649037107316853453566312041152512 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(if (<=.f64 y #s(literal -6734393813712469/79228162514264337593543950336 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (if (<=.f64 y #s(literal 8437482395119095/649037107316853453566312041152512 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(if (<=.f64 y #s(literal -6734393813712469/79228162514264337593543950336 binary64)) (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) (if (<=.f64 y #s(literal 8437482395119095/649037107316853453566312041152512 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 35681192317649/89202980794122492566142873090593446023921664 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z)) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 35681192317649/89202980794122492566142873090593446023921664 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 z (-.f64 y t))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z)) |
(if (<=.f64 z #s(literal 55000000000000000981369353015810551861615715402103866681329908659147537121280 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) z) (-.f64 y t))) |
(if (<=.f64 z #s(literal 55000000000000000981369353015810551861615715402103866681329908659147537121280 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))) |
(if (<=.f64 z #s(literal 55000000000000000981369353015810551861615715402103866681329908659147537121280 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) (/.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 y t)))) |
(if (<=.f64 z #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x) (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))) |
(if (<=.f64 z #s(literal 55000000000000000981369353015810551861615715402103866681329908659147537121280 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))) |
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal -inf.0 binary64)) (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))))) |
(if (<=.f64 (-.f64 (*.f64 z y) (*.f64 z t)) #s(literal -inf.0 binary64)) (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (if (<=.f64 (-.f64 (*.f64 z y) (*.f64 z t)) #s(literal 100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 z (-.f64 y t))) (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))))) |
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))) |
(if (<=.f64 (-.f64 (*.f64 z y) (*.f64 z t)) #s(literal 100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 z (-.f64 y t))) (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (/.f64 x z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 z (-.f64 y t))) |
(if (<=.f64 y #s(literal -6734393813712469/79228162514264337593543950336 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (if (<=.f64 y #s(literal 8437482395119095/649037107316853453566312041152512 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(if (<=.f64 y #s(literal -6734393813712469/79228162514264337593543950336 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (if (<=.f64 y #s(literal 8437482395119095/649037107316853453566312041152512 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(if (<=.f64 y #s(literal -6734393813712469/79228162514264337593543950336 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (if (<=.f64 y #s(literal 8437482395119095/649037107316853453566312041152512 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(if (<=.f64 y #s(literal -6734393813712469/79228162514264337593543950336 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (if (<=.f64 y #s(literal 8437482395119095/649037107316853453566312041152512 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 z t)))) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(if (<=.f64 y #s(literal -6734393813712469/79228162514264337593543950336 binary64)) (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) (if (<=.f64 y #s(literal 8437482395119095/649037107316853453566312041152512 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x))) |
(if (<=.f64 y #s(literal -6734393813712469/79228162514264337593543950336 binary64)) (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) (if (<=.f64 y #s(literal 8437482395119095/649037107316853453566312041152512 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 z t)))) (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 z t)))) |
| 9 616× | lower-fma.f64 |
| 9 616× | lower-fma.f32 |
| 6 414× | lower-fma.f64 |
| 6 414× | lower-fma.f32 |
| 5 906× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 1157 |
| 1 | 621 | 1109 |
| 2 | 2090 | 1067 |
| 3 | 5449 | 1063 |
| 0 | 8463 | 1032 |
| 0 | 524 | 7200 |
| 1 | 1691 | 6685 |
| 2 | 5231 | 6633 |
| 0 | 8196 | 6428 |
| 0 | 31 | 122 |
| 0 | 48 | 118 |
| 1 | 170 | 118 |
| 2 | 1035 | 118 |
| 0 | 8619 | 118 |
| 0 | 35 | 172 |
| 0 | 52 | 154 |
| 1 | 200 | 154 |
| 2 | 1109 | 154 |
| 0 | 8869 | 154 |
| 0 | 10 | 27 |
| 0 | 15 | 23 |
| 1 | 48 | 23 |
| 2 | 330 | 23 |
| 3 | 3469 | 23 |
| 0 | 8227 | 23 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 753 to 407 computations (45.9% saved)
(negabs x)
(negabs z)
Compiled 1 296 to 460 computations (64.5% saved)
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