
Time bar (total: 14.8s)
| 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 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 7 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 8 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 9 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 10 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 11 |
| 80% | 49.9% | 12.5% | 0.2% | 0% | 37.4% | 0% | 12 |
Compiled 19 to 17 computations (10.5% saved)
| 1.4s | 8 256× | 0 | valid |
| 189.0ms | 2 104× | 0 | invalid |
ival-mult: 704.0ms (57.6% of total)ival-sqrt: 158.0ms (12.9% of total)ival-exp: 148.0ms (12.1% of total)ival-sub: 105.0ms (8.6% of total)ival-div: 83.0ms (6.8% of total)exact: 12.0ms (1% of total)ival-true: 8.0ms (0.7% of total)ival-assert: 5.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 1 | (8.034461734747707e-112 6.831303424915736e+103 6.915685058814158e+296 22.20465094043522) | 0 | - | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 t t) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f64 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | sensitivity | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 2 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 2 | 0 | 254 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 168.0ms | 512× | 0 | valid |
Compiled 145 to 49 computations (66.2% saved)
ival-mult: 20.0ms (50.5% of total)ival-exp: 5.0ms (12.6% of total)ival-sqrt: 5.0ms (12.6% of total)ival-div: 4.0ms (10.1% of total)ival-sub: 3.0ms (7.6% of total)ival-true: 1.0ms (2.5% of total)exact: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 232 |
| 1 | 192 | 226 |
| 2 | 495 | 224 |
| 3 | 1536 | 224 |
| 4 | 4035 | 224 |
| 5 | 6477 | 224 |
| 0 | 15 | 17 |
| 0 | 24 | 16 |
| 1 | 36 | 16 |
| 2 | 58 | 16 |
| 3 | 115 | 16 |
| 4 | 246 | 16 |
| 5 | 375 | 16 |
| 6 | 507 | 16 |
| 7 | 817 | 16 |
| 8 | 1505 | 16 |
| 9 | 1943 | 16 |
| 10 | 2083 | 16 |
| 11 | 2101 | 16 |
| 12 | 2101 | 16 |
| 13 | 2121 | 16 |
| 14 | 2129 | 16 |
| 15 | 2129 | 16 |
| 0 | 2129 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t))) |
(abs t)
Compiled 17 to 15 computations (11.8% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
Compiled 17 to 15 computations (11.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 62 |
| 0 | 24 | 60 |
| 1 | 36 | 60 |
| 2 | 58 | 60 |
| 3 | 115 | 60 |
| 4 | 246 | 60 |
| 5 | 375 | 60 |
| 6 | 507 | 60 |
| 7 | 817 | 60 |
| 8 | 1505 | 60 |
| 9 | 1943 | 60 |
| 10 | 2083 | 60 |
| 11 | 2101 | 60 |
| 12 | 2101 | 60 |
| 13 | 2121 | 60 |
| 14 | 2129 | 60 |
| 15 | 2129 | 60 |
| 0 | 2129 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (exp.f64 t)) t) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| accuracy | 0.03775521842650459 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | |
| accuracy | 0.20703125 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 40.0ms | 256× | 0 | valid |
Compiled 64 to 17 computations (73.4% saved)
ival-mult: 16.0ms (67% of total)ival-div: 2.0ms (8.4% of total)ival-exp: 2.0ms (8.4% of total)ival-sqrt: 2.0ms (8.4% of total)ival-sub: 1.0ms (4.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow t 2))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (exp (/ (* t t) 2)) (sqrt (* z 2))) |
| 2.0ms | z | @ | 0 | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (exp (/ (* t t) 2)) (sqrt (* z 2))) |
| 2.0ms | z | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (exp (/ (* t t) 2)) (sqrt (* z 2))) |
| 2.0ms | x | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (exp (/ (* t t) 2)) (sqrt (* z 2))) |
| 2.0ms | z | @ | inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (exp (/ (* t t) 2)) (sqrt (* z 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1647 |
| 1 | 454 | 1644 |
| 2 | 1588 | 1551 |
| 3 | 4477 | 1548 |
| 0 | 8859 | 1536 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
| Outputs |
|---|
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(exp (* 1/2 (pow t 2))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(exp (* 1/2 (pow t 2))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(exp (* 1/2 (pow t 2))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(exp (* 1/2 (pow t 2))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
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(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (/ y x) 1/2))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* x (- (/ y x) 1/2))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* x (- (/ y x) 1/2))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 45 |
| 0 | 24 | 43 |
| 1 | 63 | 42 |
| 2 | 285 | 42 |
| 3 | 2343 | 42 |
| 0 | 8617 | 42 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Outputs |
|---|
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Compiled 17 760 to 1 735 computations (90.2% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 551 | 15 | 566 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 552 | 15 | 567 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 71.8% | (*.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 99.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 99.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| ▶ | 99.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
| 94.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 91.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 83.4% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| ▶ | 56.2% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| ▶ | 99.7% | (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 63.2% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 64.5% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| ▶ | 85.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
| 56.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) | |
| ▶ | 91.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))) |
Compiled 594 to 498 computations (16.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))) | |
| cost-diff | 1472 | (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 450 |
| 0 | 77 | 445 |
| 1 | 145 | 442 |
| 2 | 368 | 424 |
| 3 | 1635 | 424 |
| 4 | 6212 | 424 |
| 0 | 8288 | 421 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 z) |
z |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 z) |
z |
(fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sqrt.f64 z) |
z |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(pow.f64 (sqrt.f64 (exp.f64 t)) t) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 z) |
z |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
(fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sqrt.f64 z) |
z |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (exp.f64 t)) t) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| accuracy | 0.03775521842650459 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | |
| accuracy | 0.234375 | (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) | |
| accuracy | 0.43197250976844204 | (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.4609375 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.7493167718562798 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) | |
| accuracy | 1.3244952188496981 | (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) | |
| accuracy | 6.382625419630319 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))) | |
| accuracy | 0.4609375 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.756698039360884 | (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 2.0048516520954665 | (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) | |
| accuracy | 11.190872863068964 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) | |
| accuracy | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| accuracy | 0.20703125 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 32.43211124080011 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) | |
| accuracy | 0.03775521842650459 | (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) | |
| accuracy | 0.20703125 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 146.0ms | 256× | 0 | valid |
Compiled 407 to 39 computations (90.4% saved)
ival-mult: 58.0ms (56.4% of total)ival-add: 30.0ms (29.2% of total)ival-sqrt: 5.0ms (4.9% of total)ival-exp: 4.0ms (3.9% of total)ival-sub: 3.0ms (2.9% of total)ival-div: 2.0ms (1.9% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (patch (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (patch (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) (taylor 0 t) (#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) (taylor 0 t) (#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt 2) (- (* 1/2 x) y)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 t) (#s(alt (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow t 2))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x (sqrt z))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (patch (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (patch (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (* x (sqrt 2))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt z) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2)))) (sqrt z) (* (* (* (sqrt z) (- (* 1/2 x) y)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (sqrt z) (- (* 1/2 x) y)) (sqrt 2)) (* (sqrt z) (- (* 1/2 x) y)) (exp (* (* t t) 1/2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* (- (* x 1/2) y) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2)) (exp (/ (* t t) 2))) |
| 7.0ms | z | @ | inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt z) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2)))) (sqrt z) (* (* (* (sqrt z) (- (* 1/2 x) y)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (sqrt z) (- (* 1/2 x) y)) (sqrt 2)) (* (sqrt z) (- (* 1/2 x) y)) (exp (* (* t t) 1/2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* (- (* x 1/2) y) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2)) (exp (/ (* t t) 2))) |
| 6.0ms | z | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt z) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2)))) (sqrt z) (* (* (* (sqrt z) (- (* 1/2 x) y)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (sqrt z) (- (* 1/2 x) y)) (sqrt 2)) (* (sqrt z) (- (* 1/2 x) y)) (exp (* (* t t) 1/2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* (- (* x 1/2) y) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2)) (exp (/ (* t t) 2))) |
| 5.0ms | t | @ | inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt z) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2)))) (sqrt z) (* (* (* (sqrt z) (- (* 1/2 x) y)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (sqrt z) (- (* 1/2 x) y)) (sqrt 2)) (* (sqrt z) (- (* 1/2 x) y)) (exp (* (* t t) 1/2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* (- (* x 1/2) y) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2)) (exp (/ (* t t) 2))) |
| 4.0ms | z | @ | 0 | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (sqrt z) (+ (* (* t t) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2))) (* (- (* x 1/2) y) (sqrt 2)))) (sqrt z) (* (* (* (sqrt z) (- (* 1/2 x) y)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (sqrt z) (- (* 1/2 x) y)) (sqrt 2)) (* (sqrt z) (- (* 1/2 x) y)) (exp (* (* t t) 1/2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* (- (* x 1/2) y) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt 2)) (+ (* 1/8 (* t t)) 1/2)) (exp (/ (* t t) 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 389 | 14251 |
| 1 | 1437 | 13386 |
| 2 | 5498 | 12902 |
| 0 | 8134 | 12401 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt 2) (- (* 1/2 x) y)) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* 1/2 (pow t 2))) |
(* (sqrt 2) (- (* 1/2 x) y)) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))) |
(+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))) |
1 |
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(* -1 (* x (+ (* -1 (/ (+ (* -1 (* y (sqrt 2))) (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) x)) (+ (* -1/2 (sqrt 2)) (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* y (sqrt 2))) (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) x)) (+ (* -1/2 (sqrt 2)) (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* y (sqrt 2))) (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) x)) (+ (* -1/2 (sqrt 2)) (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* (* x (+ (* -1/2 (sqrt 2)) (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z))) |
(* -1 (* x (+ (* -1 (* (/ (+ (* -1 (* y (sqrt 2))) (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) x) (sqrt z))) (* (sqrt z) (+ (* -1/2 (sqrt 2)) (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))))) |
(* -1 (* x (+ (* -1 (* (/ (+ (* -1 (* y (sqrt 2))) (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) x) (sqrt z))) (* (sqrt z) (+ (* -1/2 (sqrt 2)) (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))))) |
(* -1 (* x (+ (* -1 (* (/ (+ (* -1 (* y (sqrt 2))) (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) x) (sqrt z))) (* (sqrt z) (+ (* -1/2 (sqrt 2)) (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 (* x (sqrt z))) |
(* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z))))) |
(* 1/2 (* x (sqrt 2))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)))) |
| Outputs |
|---|
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 t t) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 t t) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 t t) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(* (sqrt 2) (- (* 1/2 x) y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* (sqrt 2) (- (* 1/2 x) y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 t t) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 t t) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
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(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 320 |
| 0 | 77 | 310 |
| 1 | 221 | 304 |
| 2 | 1242 | 304 |
| 0 | 8559 | 304 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 z) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| Outputs |
|---|
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Compiled 61 889 to 3 855 computations (93.8% saved)
34 alts after pruning (33 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 936 | 29 | 1 965 |
| Fresh | 6 | 4 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 946 | 34 | 1 980 |
| Status | Accuracy | Program |
|---|---|---|
| 46.5% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) | |
| 56.1% | (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) | |
| 46.5% | (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64))) | |
| 56.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 47.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 56.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ▶ | 94.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 91.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 83.4% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 56.2% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 94.1% | (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 91.5% | (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 83.2% | (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 56.0% | (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 57.2% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ▶ | 54.4% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 63.4% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) | |
| 30.7% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 64.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) | |
| ▶ | 29.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| ▶ | 57.1% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 30.6% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 29.0% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 85.2% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| ▶ | 52.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
| 50.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) | |
| 56.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) | |
| 83.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 83.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) | |
| 85.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))) | |
| 74.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (sqrt.f64 z))) | |
| 50.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) | |
| 52.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) | |
| 49.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
Compiled 1 217 to 1 118 computations (8.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 640 | (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) | |
| cost-diff | 0 | #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 704 | (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- (* x 1/2) y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 541 |
| 0 | 93 | 530 |
| 1 | 165 | 530 |
| 2 | 336 | 530 |
| 3 | 897 | 530 |
| 4 | 2679 | 521 |
| 5 | 4527 | 521 |
| 0 | 8334 | 519 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
x |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 z) |
z |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 z) |
z |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
y |
(neg.f64 y) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) |
#s(approx (- (* x 1/2) y) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
x |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 z) |
z |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)) |
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
y |
(neg.f64 y) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4609375 | (*.f64 x (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 1.551382844999347 | (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 4.894987294685573 | (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) | |
| accuracy | 32.43211124080011 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0.756698039360884 | (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 2.0048516520954665 | (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) | |
| accuracy | 11.190872863068964 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) | |
| accuracy | 33.487120449731236 | #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| accuracy | 0.20703125 | (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 8.633372490911219 | (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) | |
| accuracy | 32.43211124080011 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| accuracy | 0.20703125 | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 29.013984368327 | #s(approx (- (* x 1/2) y) (neg.f64 y)) | |
| accuracy | 32.43211124080011 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0.05078125 | (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) | |
| accuracy | 0.20703125 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.2850859959599245 | (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) | |
| accuracy | 5.936229058595762 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
| 95.0ms | 256× | 0 | valid |
Compiled 403 to 44 computations (89.1% saved)
ival-mult: 26.0ms (46.3% of total)ival-div: 9.0ms (16% of total)ival-add: 6.0ms (10.7% of total)ival-sqrt: 5.0ms (8.9% of total)const: 4.0ms (7.1% of total)ival-sub: 3.0ms (5.3% of total)ival-exp: 2.0ms (3.6% of total)exact: 1.0ms (1.8% of total)ival-neg: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x 1/2) y) (neg.f64 y)) (patch #s(approx (- (* x 1/2) y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (patch (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (patch #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (patch #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) (patch (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) (taylor 0 t) (#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) (taylor 0 t) (#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt 2) (- (* 1/2 x) y)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 t) (#s(alt (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | t | @ | inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- 1/2 (/ y x)) x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (sqrt z) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2))) (neg y)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (- (* x 1/2) y) (* (sqrt z) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2))) (* x (sqrt 2))) |
| 6.0ms | y | @ | 0 | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- 1/2 (/ y x)) x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (sqrt z) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2))) (neg y)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (- (* x 1/2) y) (* (sqrt z) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2))) (* x (sqrt 2))) |
| 4.0ms | z | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- 1/2 (/ y x)) x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (sqrt z) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2))) (neg y)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (- (* x 1/2) y) (* (sqrt z) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2))) (* x (sqrt 2))) |
| 4.0ms | z | @ | 0 | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- 1/2 (/ y x)) x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (sqrt z) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2))) (neg y)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (- (* x 1/2) y) (* (sqrt z) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2))) (* x (sqrt 2))) |
| 4.0ms | x | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (- 1/2 (/ y x)) x) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (+ (* (* t t) 1/2) 1) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (sqrt z) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2))) (neg y)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (- (* x 1/2) y) (* (sqrt z) (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2))) (* x (sqrt 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 12480 |
| 1 | 876 | 11908 |
| 2 | 3253 | 10932 |
| 0 | 8062 | 10699 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt 2) (- (* 1/2 x) y)) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* 1/2 (pow t 2))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
(+ 1/8 (* 1/48 (pow t 2))) |
(+ 1/8 (* 1/48 (pow t 2))) |
1/2 |
(+ 1/2 (* 1/8 (pow t 2))) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
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(sqrt 2) |
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(sqrt 2) |
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(* -1 y) |
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(- (* 1/2 x) y) |
(* 1/2 x) |
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(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* -1 y) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(sqrt 2) |
(+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))) |
(+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))) |
(+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* (sqrt z) (sqrt 2)) |
(+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1/2 (/ (* x (sqrt 2)) y)) |
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x))) |
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x))) |
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) |
(* x (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z)))) |
(* x (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z)))) |
(* x (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z)))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(* -1/2 (/ (* x (sqrt 2)) y)) |
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) |
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) |
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) |
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z)))))) |
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z)))))) |
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z)))))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
| Outputs |
|---|
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
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1 |
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1 |
#s(literal 1 binary64) |
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1/8 |
#s(literal 1/8 binary64) |
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1/2 |
#s(literal 1/2 binary64) |
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1 |
#s(literal 1 binary64) |
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(* 1/2 (pow t 2)) |
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(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
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(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
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(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(* -1/2 (/ (* x (sqrt 2)) y)) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)) |
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) x) |
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) x) |
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) x) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y)) |
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z)))))) |
(*.f64 (*.f64 (sqrt.f64 z) x) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z)))))) |
(*.f64 (*.f64 (sqrt.f64 z) x) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* -1 (* x (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z)))))) |
(*.f64 (*.f64 (sqrt.f64 z) x) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 412 |
| 0 | 93 | 405 |
| 1 | 273 | 402 |
| 2 | 1657 | 402 |
| 0 | 8237 | 402 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
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Compiled 30 029 to 2 163 computations (92.8% saved)
45 alts after pruning (42 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 177 | 27 | 1 204 |
| Fresh | 13 | 15 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 193 | 45 | 1 238 |
| Status | Accuracy | Program |
|---|---|---|
| 46.5% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) | |
| 56.1% | (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) | |
| 94.3% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 47.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 56.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 94.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 91.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| ✓ | 56.2% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 83.2% | (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 29.0% | (*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 94.1% | (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 29.0% | (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 28.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 57.2% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 88.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| ✓ | 54.4% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 63.4% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) | |
| 58.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| ▶ | 30.7% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 64.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) | |
| 60.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 57.5% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 49.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 29.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| ▶ | 94.6% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
| ▶ | 54.4% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 47.7% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 31.7% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 29.0% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 60.0% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 58.7% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 30.6% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 50.7% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) | |
| ▶ | 85.2% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
| 50.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) | |
| 56.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) | |
| 52.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))))) | |
| ▶ | 52.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
| 52.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 28.3% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) | |
| 74.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (sqrt.f64 z))) | |
| 50.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) | |
| 47.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (/.f64 (sqrt.f64 z) (*.f64 t t)))) (*.f64 t t)))) | |
| 49.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) | |
| 49.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
Compiled 1 728 to 1 521 computations (12% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 128 | (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y))) | |
| cost-diff | 640 | (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| cost-diff | 128 | (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 562 |
| 0 | 91 | 553 |
| 1 | 176 | 553 |
| 2 | 367 | 553 |
| 3 | 1153 | 553 |
| 4 | 2467 | 553 |
| 5 | 4577 | 547 |
| 0 | 8126 | 543 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/48 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(sqrt.f64 z) |
z |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
y |
#s(literal -1/2 binary64) |
(*.f64 (sqrt.f64 z) (neg.f64 y)) |
(sqrt.f64 z) |
z |
(neg.f64 y) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/48 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
#s(literal 2 binary64) |
z |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
y |
#s(literal -1/2 binary64) |
(*.f64 (sqrt.f64 z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
(neg.f64 y) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.22265625 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) | |
| accuracy | 0.4609375 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) | |
| accuracy | 7.196801504950289 | (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y))) | |
| accuracy | 32.43211124080011 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0.7255564698707098 | (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 2.009207184360318 | (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 11.190872863068964 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 33.487120449731236 | #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) | |
| accuracy | 0.7255564698707098 | (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) | |
| accuracy | 1.9618829020954665 | (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| accuracy | 11.190872863068964 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| accuracy | 0.20703125 | (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 32.43211124080011 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 33.487120449731236 | #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) | |
| accuracy | 0.05078125 | (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| accuracy | 0.2850859959599245 | (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) | |
| accuracy | 5.936229058595762 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
| 131.0ms | 256× | 0 | valid |
Compiled 417 to 49 computations (88.2% saved)
ival-mult: 50.0ms (59.5% of total)ival-add: 13.0ms (15.5% of total)ival-sqrt: 7.0ms (8.3% of total)ival-div: 4.0ms (4.8% of total)const: 4.0ms (4.8% of total)ival-sub: 3.0ms (3.6% of total)ival-exp: 2.0ms (2.4% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (patch (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (patch (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (patch (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (patch (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (patch (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y))) (patch (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) (patch #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (patch (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (patch (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (patch (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (patch (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (patch (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (patch (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 x) y) (taylor 0 t) (#s(alt (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (patch (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) (taylor 0 t) (#s(alt (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (patch (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y) (taylor 0 t) (#s(alt (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (patch (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y) (taylor 0 t) (#s(alt (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (patch (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow t 2))) (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | z | @ | -inf | ((* (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (sqrt 2)) (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (sqrt z) (neg y))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (- (* x 1/2) y) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (* (sqrt 2) x) (/ (* (sqrt 2) x) y)) |
| 9.0ms | t | @ | -inf | ((* (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (sqrt 2)) (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (sqrt z) (neg y))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (- (* x 1/2) y) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (* (sqrt 2) x) (/ (* (sqrt 2) x) y)) |
| 4.0ms | x | @ | -inf | ((* (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (sqrt 2)) (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (sqrt z) (neg y))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (- (* x 1/2) y) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (* (sqrt 2) x) (/ (* (sqrt 2) x) y)) |
| 3.0ms | z | @ | inf | ((* (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (sqrt 2)) (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (sqrt z) (neg y))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (- (* x 1/2) y) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (* (sqrt 2) x) (/ (* (sqrt 2) x) y)) |
| 3.0ms | z | @ | 0 | ((* (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (sqrt 2)) (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (sqrt z) (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (* (sqrt z) (neg y))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (- (* x 1/2) y) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (* (sqrt 2) x) (/ (* (sqrt 2) x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 336 | 14407 |
| 1 | 1210 | 13831 |
| 2 | 4430 | 12312 |
| 0 | 8066 | 11930 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(- (* 1/2 x) y) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(- (* 1/2 x) y) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* 1/2 (pow t 2))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (- (* 1/2 x) y)) |
(+ (* 1/2 (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z))) (* (sqrt z) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z))) (* (sqrt z) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z))) (* (sqrt z) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
(+ 1/8 (* 1/48 (pow t 2))) |
(+ 1/8 (* 1/48 (pow t 2))) |
1/2 |
(+ 1/2 (* 1/8 (pow t 2))) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(- (* 1/2 x) y) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
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(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)) |
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)) |
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)) |
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(* 1/48 (pow t 6)) |
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (+ (* 1/8 (/ 1 (pow t 2))) (/ 1 (pow t 6)))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
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(* 1/2 (pow t 2)) |
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(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* 1/48 (pow t 4)) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
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(exp (* 1/2 (pow t 2))) |
(* 1/48 (pow t 6)) |
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(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (+ (* 1/8 (/ 1 (pow t 2))) (/ 1 (pow t 6)))))) |
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(sqrt 2) |
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(sqrt 2) |
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(/ (* x (sqrt 2)) y) |
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(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
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(sqrt 2) |
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(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* -1 (* y (+ 1 (* 1/2 (pow t 2))))) |
(+ (* -1 (* y (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (* x (+ 1 (* 1/2 (pow t 2)))))) |
(+ (* -1 (* y (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (* x (+ 1 (* 1/2 (pow t 2)))))) |
(+ (* -1 (* y (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (* x (+ 1 (* 1/2 (pow t 2)))))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(/ (* x (sqrt 2)) y) |
(/ (* x (sqrt 2)) y) |
(/ (* x (sqrt 2)) y) |
(/ (* x (sqrt 2)) y) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* x (exp (* 1/2 (pow t 2))))) |
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2)))))) |
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2)))))) |
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (* x (+ 1 (* 1/2 (pow t 2))))) |
(* x (+ (* -1 (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)) (* 1/2 (+ 1 (* 1/2 (pow t 2)))))) |
(* x (+ (* -1 (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)) (* 1/2 (+ 1 (* 1/2 (pow t 2)))))) |
(* x (+ (* -1 (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)) (* 1/2 (+ 1 (* 1/2 (pow t 2)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* 1/2 (* (* x (+ 1 (* 1/2 (pow t 2)))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (+ 1 (* 1/2 (pow t 2)))) x) (sqrt z))) (* 1/2 (* (sqrt z) (+ 1 (* 1/2 (pow t 2))))))) |
(* x (+ (* -1 (* (/ (* y (+ 1 (* 1/2 (pow t 2)))) x) (sqrt z))) (* 1/2 (* (sqrt z) (+ 1 (* 1/2 (pow t 2))))))) |
(* x (+ (* -1 (* (/ (* y (+ 1 (* 1/2 (pow t 2)))) x) (sqrt z))) (* 1/2 (* (sqrt z) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1/2 (/ (* x (sqrt 2)) y)) |
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x))) |
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x))) |
(* x (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 (* x (+ 1 (* 1/2 (pow t 2))))) |
(* x (+ (* -1 (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)) (* 1/2 (+ 1 (* 1/2 (pow t 2)))))) |
(* x (+ (* -1 (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)) (* 1/2 (+ 1 (* 1/2 (pow t 2)))))) |
(* x (+ (* -1 (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)) (* 1/2 (+ 1 (* 1/2 (pow t 2)))))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(/ (* x (sqrt 2)) y) |
(/ (* x (sqrt 2)) y) |
(/ (* x (sqrt 2)) y) |
(/ (* x (sqrt 2)) y) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* x (exp (* 1/2 (pow t 2))))) |
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x)))) |
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x)))) |
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (* x (+ 1 (* 1/2 (pow t 2))))) |
(* -1 (* x (+ (* -1/2 (+ 1 (* 1/2 (pow t 2)))) (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)))) |
(* -1 (* x (+ (* -1/2 (+ 1 (* 1/2 (pow t 2)))) (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)))) |
(* -1 (* x (+ (* -1/2 (+ 1 (* 1/2 (pow t 2)))) (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* 1/2 (* (* x (+ 1 (* 1/2 (pow t 2)))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (+ 1 (* 1/2 (pow t 2))))) (* (/ (* y (+ 1 (* 1/2 (pow t 2)))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (+ 1 (* 1/2 (pow t 2))))) (* (/ (* y (+ 1 (* 1/2 (pow t 2)))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (+ 1 (* 1/2 (pow t 2))))) (* (/ (* y (+ 1 (* 1/2 (pow t 2)))) x) (sqrt z))))) |
(* -1/2 (/ (* x (sqrt 2)) y)) |
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) |
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) |
(* -1 (* x (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 (* x (+ 1 (* 1/2 (pow t 2))))) |
(* -1 (* x (+ (* -1/2 (+ 1 (* 1/2 (pow t 2)))) (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)))) |
(* -1 (* x (+ (* -1/2 (+ 1 (* 1/2 (pow t 2)))) (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)))) |
(* -1 (* x (+ (* -1/2 (+ 1 (* 1/2 (pow t 2)))) (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(/ (* x (sqrt 2)) y) |
(/ (* x (sqrt 2)) y) |
(/ (* x (sqrt 2)) y) |
(/ (* x (sqrt 2)) y) |
| Outputs |
|---|
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))))) |
(- (* 1/2 x) y) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y) |
(fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
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(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
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(- (* 1/2 x) y) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
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(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
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1 |
#s(literal 1 binary64) |
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(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
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(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
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(* (sqrt z) (- (* 1/2 x) y)) |
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1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* 1/48 (pow t 2))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(+ 1/8 (* 1/48 (pow t 2))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(+ 1/8 (* 1/48 (pow t 2))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/8 (pow t 2))) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
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(- (* 1/2 x) y) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
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(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
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(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
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(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
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(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)) |
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
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(exp (* 1/2 (pow t 2))) |
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(exp (* 1/2 (pow t 2))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(exp (* 1/2 (pow t 2))) |
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(exp (* 1/2 (pow t 2))) |
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(* 1/48 (pow t 6)) |
(*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/48 binary64)) |
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
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(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (+ (* 1/8 (/ 1 (pow t 2))) (/ 1 (pow t 6)))))) |
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(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* 1/2 (* x (+ 1 (* 1/2 (pow t 2))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x) |
(* -1 (* x (+ (* -1/2 (+ 1 (* 1/2 (pow t 2)))) (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(* -1 (* x (+ (* -1/2 (+ 1 (* 1/2 (pow t 2)))) (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(* -1 (* x (+ (* -1/2 (+ 1 (* 1/2 (pow t 2)))) (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ (* x (sqrt 2)) y) |
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) |
(/ (* x (sqrt 2)) y) |
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) |
(/ (* x (sqrt 2)) y) |
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) |
(/ (* x (sqrt 2)) y) |
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 457 |
| 0 | 91 | 449 |
| 1 | 284 | 445 |
| 2 | 1589 | 445 |
| 0 | 8480 | 445 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(sqrt.f64 z) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) |
| Outputs |
|---|
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Compiled 42 351 to 3 679 computations (91.3% saved)
50 alts after pruning (47 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 519 | 23 | 1 542 |
| Fresh | 13 | 24 | 37 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 537 | 50 | 1 587 |
| Status | Accuracy | Program |
|---|---|---|
| 46.5% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) | |
| 56.1% | (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) | |
| 94.3% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) | |
| 56.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 94.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 29.0% | (*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 94.1% | (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 29.0% | (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 28.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 57.2% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 88.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| ✓ | 54.4% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 63.4% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) | |
| 58.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 56.2% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 50.7% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 30.7% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 64.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) | |
| 60.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 57.5% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 49.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 29.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 94.5% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) | |
| 94.5% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 92.7% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 47.0% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 z))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 31.7% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 60.0% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 58.7% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 30.4% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 #s(approx (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 56.2% | (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 83.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) | |
| 50.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) | |
| 50.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) | |
| 56.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) | |
| 56.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) | |
| 52.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 2 binary64)))) | |
| 50.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) | |
| 28.3% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) | |
| 52.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 50.7% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 82.3% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 40.2% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 50.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) | |
| 49.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) | |
| 47.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (/.f64 (sqrt.f64 z) (*.f64 t t)))) (*.f64 t t)))) | |
| 52.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x))) | |
| 73.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) y))) | |
| 75.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) x)))) x))) | |
| 49.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
Compiled 2 889 to 1 253 computations (56.6% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
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(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (/.f64 (sqrt.f64 z) (*.f64 t t)))) (*.f64 t t)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (/.f64 (sqrt.f64 z) (*.f64 t t)))) (*.f64 t t)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) x)))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 z))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
13 calls:
| 62.0ms | (*.f64 t t) |
| 35.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 34.0ms | z |
| 34.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 28.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | t |
| 99.8% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 99.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 99.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 99.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 99.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 99.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 99.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 99.8% | 1 | (*.f64 t t) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 #s(approx (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (/.f64 (sqrt.f64 z) (*.f64 t t)))) (*.f64 t t)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (/.f64 (sqrt.f64 z) (*.f64 t t)))) (*.f64 t t)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) x)))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
13 calls:
| 41.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 32.0ms | (*.f64 z #s(literal 2 binary64)) |
| 31.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 30.0ms | x |
| 27.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 1 | x |
| 94.6% | 1 | y |
| 94.6% | 1 | z |
| 98.3% | 3 | t |
| 94.6% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 94.6% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 94.6% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 94.6% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 94.6% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 94.6% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 94.6% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 98.3% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 98.3% | 3 | (*.f64 t t) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
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#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (/.f64 (sqrt.f64 z) (*.f64 t t)))) (*.f64 t t)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) x)))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
4 calls:
| 28.0ms | (*.f64 t t) |
| 27.0ms | t |
| 22.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 20.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 94.6% | 1 | t |
| 94.6% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 94.6% | 1 | (*.f64 t t) |
Compiled 15 to 24 computations (-60% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 #s(approx (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
13 calls:
| 26.0ms | y |
| 20.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 19.0ms | (*.f64 z #s(literal 2 binary64)) |
| 18.0ms | t |
| 18.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 1 | x |
| 94.5% | 1 | y |
| 94.5% | 1 | z |
| 94.5% | 1 | t |
| 94.5% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 94.5% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 94.5% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 94.5% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 94.5% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 94.5% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 94.5% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 94.5% | 1 | (*.f64 t t) |
| 94.5% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 #s(approx (+ (* (/ (* (sqrt 2) x) y) -1/2) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (*.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
13 calls:
| 167.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 62.0ms | (*.f64 t t) |
| 56.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 25.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 19.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 1 | x |
| 92.7% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 92.7% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 92.7% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 92.7% | 1 | y |
| 92.7% | 1 | t |
| 92.7% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 92.7% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 92.7% | 1 | (*.f64 t t) |
| 92.7% | 1 | z |
| 92.7% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 92.7% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 92.7% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
| Outputs |
|---|
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
13 calls:
| 166.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 32.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 19.0ms | z |
| 17.0ms | y |
| 17.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 1 | x |
| 88.5% | 2 | t |
| 87.0% | 2 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 85.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 85.2% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 85.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 88.5% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 88.5% | 2 | (*.f64 t t) |
| 85.2% | 1 | y |
| 85.2% | 1 | z |
| 85.2% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 85.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 88.5% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
4 calls:
| 39.0ms | (*.f64 t t) |
| 18.0ms | t |
| 13.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 11.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 3 | t |
| 88.9% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 88.9% | 3 | (*.f64 t t) |
| 85.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 15 to 24 computations (-60% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (sqrt z) (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1))) (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (- (* x 1/2) y) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
| Outputs |
|---|
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
6 calls:
| 44.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 13.0ms | t |
| 11.0ms | (*.f64 t t) |
| 9.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 9.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 85.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 85.2% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 85.2% | 1 | t |
| 85.2% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 85.2% | 1 | (*.f64 t t) |
Compiled 42 to 50 computations (-19% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
13 calls:
| 14.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 9.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 9.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 9.0ms | y |
| 8.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 2 | t |
| 84.9% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 84.9% | 2 | (*.f64 t t) |
| 71.1% | 3 | x |
| 57.9% | 2 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 71.1% | 3 | (*.f64 x #s(literal 1/2 binary64)) |
| 71.0% | 3 | y |
| 61.0% | 3 | z |
| 80.0% | 3 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 61.0% | 3 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 61.0% | 3 | (*.f64 z #s(literal 2 binary64)) |
| 61.1% | 3 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 84.9% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (/ (* x (sqrt 2)) y)) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) #s(approx (* (- (* x 1/2) y) (+ (* (* t t) 1/2) 1)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
5 calls:
| 41.0ms | t |
| 6.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 5.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 5.0ms | (*.f64 t t) |
| 5.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.1% | 3 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 75.6% | 2 | t |
| 75.6% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 75.6% | 2 | (*.f64 t t) |
| 75.6% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 32 to 39 computations (-21.9% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
13 calls:
| 1.4s | y |
| 931.0ms | (*.f64 t t) |
| 2.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 2.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 2.0ms | (*.f64 z #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.2% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 56.2% | 1 | z |
| 56.2% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 56.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 56.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 56.2% | 1 | y |
| 56.2% | 1 | x |
| 56.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 56.2% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 56.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 56.2% | 1 | t |
| 56.2% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 56.2% | 1 | (*.f64 t t) |
Compiled 60 to 88 computations (-46.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
13 calls:
| 1.0ms | (*.f64 z #s(literal 2 binary64)) |
| 1.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 1.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 1.0ms | z |
| 1.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.1% | 1 | z |
| 29.1% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 29.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 29.1% | 1 | t |
| 29.1% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 29.1% | 1 | (*.f64 t t) |
| 29.1% | 1 | y |
| 29.1% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 29.1% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 29.1% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 29.1% | 1 | x |
| 29.1% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 29.1% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
Compiled 60 to 88 computations (-46.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.731344003303931e+63 | 6.687879380364671e+70 |
| 0.0ms | 283.1566464672043 | 493.04652338657064 |
Compiled 20 to 22 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000006993899 | 1.0000161120191358 |
Compiled 20 to 23 computations (-15% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.875695036203818e+283 | 5.197528189412846e+288 |
| 0.0ms | 4.563687383331146e+181 | 9.289647367830326e+181 |
Compiled 20 to 22 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000161120191358 | 3.066793523731112e+61 |
Compiled 20 to 23 computations (-15% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 4.763128476791912e+112 | 7.140579852008918e+116 |
| 22.0ms | 128× | 0 | valid |
Compiled 212 to 246 computations (-16% saved)
ival-mult: 3.0ms (42.9% of total)ival-sub: 1.0ms (14.3% of total)ival-div: 1.0ms (14.3% of total)ival-exp: 1.0ms (14.3% of total)ival-sqrt: 1.0ms (14.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 692 |
| 1 | 160 | 692 |
| 2 | 169 | 692 |
| 3 | 174 | 692 |
| 4 | 177 | 692 |
| 5 | 178 | 692 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (*.f64 t t) #s(literal 400 binary64)) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (if (<=.f64 (*.f64 t t) #s(literal 2000000000000000115715919885453939654786757378350080876345294848 binary64)) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2251822331683385/2251799813685248 binary64)) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368 binary64)) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (if (<=.f64 (*.f64 t t) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 85999999999999996553498826671309915522216698315414546559742139838149500498795788959016557784059248448718665416704 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(if (<=.f64 (*.f64 t t) #s(literal 400 binary64)) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (if (<=.f64 (*.f64 t t) #s(literal 2000000000000000115715919885453939654786757378350080876345294848 binary64)) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 400 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 2000000000000000115715919885453939654786757378350080876345294848 binary64)) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2251822331683385/2251799813685248 binary64)) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2251822331683385/2251799813685248 binary64)) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368 binary64)) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (if (<=.f64 (*.f64 t t) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(if (<=.f64 (*.f64 t t) #s(literal 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368 binary64)) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (if (<=.f64 (*.f64 t t) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64)) t) t)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 85999999999999996553498826671309915522216698315414546559742139838149500498795788959016557784059248448718665416704 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 85999999999999996553498826671309915522216698315414546559742139838149500498795788959016557784059248448718665416704 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 12480 |
| 1 | 876 | 11908 |
| 2 | 3253 | 10932 |
| 0 | 8062 | 10699 |
| 0 | 56 | 412 |
| 0 | 93 | 405 |
| 1 | 273 | 402 |
| 2 | 1657 | 402 |
| 0 | 8237 | 402 |
| 0 | 15 | 45 |
| 0 | 24 | 43 |
| 1 | 63 | 42 |
| 2 | 285 | 42 |
| 3 | 2343 | 42 |
| 0 | 8617 | 42 |
| 0 | 336 | 14407 |
| 1 | 1210 | 13831 |
| 2 | 4430 | 12312 |
| 0 | 8066 | 11930 |
| 0 | 389 | 14251 |
| 1 | 1437 | 13386 |
| 2 | 5498 | 12902 |
| 0 | 8134 | 12401 |
| 0 | 47 | 320 |
| 0 | 77 | 310 |
| 1 | 221 | 304 |
| 2 | 1242 | 304 |
| 0 | 8559 | 304 |
| 0 | 136 | 1647 |
| 1 | 454 | 1644 |
| 2 | 1588 | 1551 |
| 3 | 4477 | 1548 |
| 0 | 8859 | 1536 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 179 to 746 computations (36.7% saved)
(abs t)
Compiled 1 056 to 404 computations (61.7% saved)
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