
Time bar (total: 6.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 33.3% | 12.5% | 25% | 0% | 0% | 62.5% | 0% | 4 |
| 60% | 18.7% | 12.5% | 0% | 0% | 68.7% | 0% | 5 |
| 77.8% | 21.9% | 6.2% | 0% | 0% | 71.8% | 0% | 6 |
| 88.2% | 23.4% | 3.1% | 0% | 0% | 73.4% | 0% | 7 |
| 93.9% | 24.2% | 1.6% | 0% | 0% | 74.2% | 0% | 8 |
| 96.9% | 24.6% | 0.8% | 0% | 0% | 74.6% | 0% | 9 |
| 98.4% | 24.8% | 0.4% | 0% | 0% | 74.8% | 0% | 10 |
| 99.2% | 24.9% | 0.2% | 0% | 0% | 74.9% | 0% | 11 |
| 99.6% | 24.9% | 0.1% | 0% | 0% | 74.9% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 817.0ms | 8 256× | 0 | valid |
| 2.0ms | 23× | 0 | invalid |
ival-div: 183.0ms (29.8% of total)ival-sqrt: 145.0ms (23.6% of total)ival-log: 106.0ms (17.3% of total)ival-add: 73.0ms (11.9% of total)ival-mult: 50.0ms (8.2% of total)ival-sub: 43.0ms (7% of total)ival-true: 6.0ms (1% of total)exact: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 0 | 0 | - | 0 | - | (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 48.0ms | 512× | 0 | valid |
Compiled 122 to 31 computations (74.6% saved)
ival-div: 13.0ms (40.7% of total)ival-log: 6.0ms (18.8% of total)ival-sqrt: 4.0ms (12.5% of total)ival-mult: 3.0ms (9.4% of total)ival-sub: 3.0ms (9.4% of total)ival-add: 2.0ms (6.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 28 400× | lower-fma.f64 |
| 28 400× | lower-fma.f32 |
| 3 690× | lower-*.f32 |
| 3 688× | lower-*.f64 |
| 2 256× | lower-+.f32 |
Useful iterations: 14 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 31 |
| 1 | 34 | 27 |
| 2 | 71 | 27 |
| 3 | 153 | 27 |
| 4 | 261 | 27 |
| 5 | 409 | 27 |
| 6 | 633 | 23 |
| 7 | 1008 | 23 |
| 8 | 1424 | 23 |
| 9 | 1995 | 23 |
| 10 | 4391 | 23 |
| 11 | 5872 | 23 |
| 12 | 6901 | 23 |
| 13 | 7311 | 23 |
| 14 | 7679 | 23 |
| 15 | 7835 | 23 |
| 0 | 9 | 13 |
| 0 | 16 | 13 |
| 1 | 24 | 13 |
| 2 | 31 | 13 |
| 3 | 39 | 13 |
| 4 | 54 | 13 |
| 5 | 74 | 13 |
| 6 | 117 | 13 |
| 7 | 315 | 13 |
| 8 | 597 | 13 |
| 9 | 1167 | 13 |
| 10 | 2099 | 13 |
| 11 | 3834 | 13 |
| 12 | 4826 | 13 |
| 13 | 5183 | 13 |
| 14 | 5518 | 11 |
| 15 | 5777 | 11 |
| 16 | 5858 | 11 |
| 17 | 6069 | 11 |
| 18 | 6989 | 11 |
| 0 | 8045 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| Outputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x)) |
Compiled 14 to 9 computations (35.7% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
Compiled 14 to 9 computations (35.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) | |
| cost-diff | 704 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 28 400× | lower-fma.f64 |
| 28 400× | lower-fma.f32 |
| 3 690× | lower-*.f32 |
| 3 688× | lower-*.f64 |
| 2 256× | lower-+.f32 |
Useful iterations: 14 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 52 |
| 0 | 16 | 52 |
| 1 | 24 | 52 |
| 2 | 31 | 52 |
| 3 | 39 | 52 |
| 4 | 54 | 52 |
| 5 | 74 | 52 |
| 6 | 117 | 52 |
| 7 | 315 | 52 |
| 8 | 597 | 52 |
| 9 | 1167 | 52 |
| 10 | 2099 | 52 |
| 11 | 3834 | 52 |
| 12 | 4826 | 52 |
| 13 | 5183 | 52 |
| 14 | 5518 | 48 |
| 15 | 5777 | 48 |
| 16 | 5858 | 48 |
| 17 | 6069 | 48 |
| 18 | 6989 | 48 |
| 0 | 8045 | 48 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 x (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 0.0078125 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) | |
| accuracy | 0.0078125 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) | |
| accuracy | 0.01953125 | (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
| 36.0ms | 256× | 0 | valid |
Compiled 54 to 11 computations (79.6% saved)
ival-mult: 17.0ms (59.9% of total)ival-div: 4.0ms (14.1% of total)ival-log: 3.0ms (10.6% of total)ival-sqrt: 2.0ms (7% of total)ival-add: 1.0ms (3.5% of total)ival-sub: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #<representation binary64>) () ()) |
#s(alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (patch (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (patch (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 2 x) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -1/2 (pow x 2))) x) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt -1) (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (/ 1 x)) (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))) (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (sqrt -1)) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (sqrt -1)) (/ 1 x)) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (patch (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (patch (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (patch (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (patch (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) #<representation binary64>) () ())) ()) |
#s(alt (log (sqrt -1)) (taylor inf x) (#s(alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (patch (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (taylor inf x) (#s(alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (patch (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (taylor inf x) (#s(alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (patch (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (taylor inf x) (#s(alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (patch (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) #<representation binary64>) () ())) ()) |
#s(alt (log (* -1 (sqrt -1))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (patch (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (patch (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (patch (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (patch (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (patch (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/2 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (patch (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (patch (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (patch (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt -1) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (patch (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (patch (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (patch (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (patch (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (sqrt -1)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (patch (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (patch (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1)))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (patch (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (patch (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) (taylor 0 x) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sqrt -1)) (taylor inf x) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (taylor inf x) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))) (taylor inf x) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) (taylor inf x) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) |
| 1.0ms | x | @ | inf | (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) |
| 1.0ms | x | @ | 0 | (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) |
| 1.0ms | x | @ | -inf | (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) |
| 0.0ms | x | @ | 0 | (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) |
| 1× | egg-herbie |
| 17 138× | lower-fma.f64 |
| 17 138× | lower-fma.f32 |
| 3 282× | lower-*.f64 |
| 3 282× | lower-*.f32 |
| 2 100× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 767 |
| 1 | 409 | 742 |
| 2 | 1098 | 722 |
| 3 | 3202 | 709 |
| 4 | 7969 | 709 |
| 0 | 8467 | 680 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 x)) |
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))) |
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) |
(* -1 (sqrt -1)) |
(+ (* -1 (sqrt -1)) (/ 1 x)) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))) |
(+ (log 2) (* -1 (log x))) |
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) |
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) |
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) |
(log (* -1 (sqrt -1))) |
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) |
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) |
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) |
(* -1 (sqrt -1)) |
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) |
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1)))) |
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) |
(* x (sqrt -1)) |
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) |
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))) |
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) |
(* -1 (* x (sqrt -1))) |
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))) |
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
| Outputs |
|---|
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64)) x) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 x)) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))))) |
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x)))) |
(* -1 (sqrt -1)) |
(neg.f64 (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 (sqrt -1)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x) (sqrt.f64 #s(literal -1 binary64))) |
(+ (log 2) (* -1 (log x))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))) |
(-.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (log.f64 #s(literal 2 binary64))) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))) |
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -3/32 binary64)) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))) |
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -5/96 binary64) #s(literal -3/32 binary64))) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))) (log.f64 x)) |
(log (sqrt -1)) |
(log.f64 (sqrt.f64 #s(literal -1 binary64))) |
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) |
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))) |
(log (* -1 (sqrt -1))) |
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) |
(+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) |
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -3/40 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) |
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x))) |
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x)))) |
(* -1 (sqrt -1)) |
(neg.f64 (sqrt.f64 #s(literal -1 binary64))) |
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) |
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1)))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) |
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) |
(+.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* x (sqrt -1)) |
(*.f64 x (sqrt.f64 #s(literal -1 binary64))) |
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) |
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))) |
(fma.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) |
(fma.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (sqrt -1))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))) |
(fma.f64 x (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
(fma.f64 x (+.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
| 4 520× | lower-fma.f64 |
| 4 520× | lower-fma.f32 |
| 3 106× | lower-*.f32 |
| 3 104× | lower-*.f64 |
| 2 972× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 0 | 16 | 42 |
| 1 | 69 | 42 |
| 2 | 624 | 38 |
| 3 | 7596 | 38 |
| 0 | 8354 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(+.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x)) |
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x))) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x))) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x))) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 x) (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x))) |
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(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x x)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x x)))))) (log.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) (log.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) |
(exp.f64 (neg.f64 (log.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (neg.f64 x)))))) |
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (neg.f64 x))) (neg.f64 (log.f64 x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(neg.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (neg.f64 x))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) |
Compiled 10 189 to 1 259 computations (87.6% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 376 | 5 | 381 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 377 | 5 | 382 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.9% | (neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))) |
| ▶ | 100.0% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
| ▶ | 99.5% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
| ▶ | 98.9% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
| ▶ | 0.0% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
Compiled 100 to 64 computations (36% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) | |
| cost-diff | 128 | (neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))) | |
| cost-diff | 512 | (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) | |
| cost-diff | 0 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
| 7 752× | lower-fma.f32 |
| 7 748× | lower-fma.f64 |
| 3 420× | lower-*.f32 |
| 3 416× | lower-*.f64 |
| 2 054× | lower-/.f32 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 247 |
| 0 | 52 | 243 |
| 1 | 71 | 243 |
| 2 | 82 | 243 |
| 3 | 99 | 241 |
| 4 | 132 | 237 |
| 5 | 158 | 237 |
| 6 | 332 | 237 |
| 7 | 1088 | 237 |
| 8 | 3320 | 225 |
| 9 | 4963 | 225 |
| 0 | 8405 | 225 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) |
(sqrt.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
x |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))) |
(log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(*.f64 x x) |
x |
(fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) |
(sqrt.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) |
x |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
(log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 x x) |
x |
(fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 0 | (neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))) | |
| accuracy | 0 | (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) | |
| accuracy | 0 | (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) | |
| accuracy | 0 | (*.f64 x #s(literal -1/2 binary64)) | |
| accuracy | 0 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) | |
| accuracy | 0 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) | |
| accuracy | 0 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0 | (sqrt.f64 #s(literal -1 binary64)) | |
| accuracy | 0 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) | |
| accuracy | 0 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 0 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
| 140.0ms | 256× | 0 | invalid |
Compiled 223 to 28 computations (87.4% saved)
ival-mult: 66.0ms (56.1% of total)ival-add: 23.0ms (19.5% of total)ival-log: 13.0ms (11% of total)ival-div: 10.0ms (8.5% of total)ival-sqrt: 3.0ms (2.5% of total)ival-sub: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (patch (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(literal -1 binary64)) (patch (sqrt.f64 #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) (patch (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (patch (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))) (patch (neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (patch (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal -1/2 binary64)) (patch (*.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (log 2) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (log (sqrt -1)) (taylor inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (taylor inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (taylor inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (taylor inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (log (* -1 (sqrt -1))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -1/2 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) #<representation binary64>) () ())) ()) |
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#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 x) (taylor 0 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 0 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 0 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 0 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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (+ (* x (* x -1/2)) 2) x) |
| 1.0ms | x | @ | inf | (neg (log (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)))) |
| 1.0ms | x | @ | inf | (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) |
| 1.0ms | x | @ | -inf | (neg (log (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)))) |
| 1.0ms | x | @ | -inf | (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) |
| 1× | egg-herbie |
| 12 990× | lower-fma.f64 |
| 12 990× | lower-fma.f32 |
| 4 056× | lower-*.f64 |
| 4 056× | lower-*.f32 |
| 2 356× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 2610 |
| 1 | 811 | 2480 |
| 2 | 2223 | 2405 |
| 3 | 6220 | 2398 |
| 0 | 8307 | 2305 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (log 2) (* -1 (log x))) |
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) |
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) |
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) |
(log (* -1 (sqrt -1))) |
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) |
(/ 2 x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 x)) |
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))) |
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) |
(* -1 (sqrt -1)) |
(+ (* -1 (sqrt -1)) (/ 1 x)) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) |
(* x (sqrt -1)) |
(* x (+ (sqrt -1) (/ 1 x))) |
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))) |
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) |
(* -1 (* x (sqrt -1))) |
(* -1 (* x (- (sqrt -1) (/ 1 x)))) |
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x))))) |
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) |
(* x (sqrt -1)) |
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) |
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))) |
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) |
(* -1 (* x (sqrt -1))) |
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))) |
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
(+ (log 2) (* -1 (log x))) |
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) |
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) |
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) |
(log (* -1 (sqrt -1))) |
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) |
(/ 2 x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 x)) |
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))) |
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) |
(* -1 (sqrt -1)) |
(+ (* -1 (sqrt -1)) (/ 1 x)) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))) |
(+ (log 2) (* -1 (log x))) |
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) |
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) |
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) |
(log (* -1 (sqrt -1))) |
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) |
(/ 2 x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 x)) |
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))) |
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) |
(* -1 (sqrt -1)) |
(+ (* -1 (sqrt -1)) (/ 1 x)) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(+ (log 2) (* -1 (log x))) |
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) |
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) |
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) |
(log (* -1 (sqrt -1))) |
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) |
(/ 2 x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 x)) |
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))) |
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) |
(* -1 (sqrt -1)) |
(+ (* -1 (sqrt -1)) (/ 1 x)) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))) |
(/ 2 x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(* -1/2 x) |
(* x (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(* x (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(* x (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(* -1/2 x) |
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* -1/2 (pow x 2))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/8 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2)))))))) |
(/ 1 (sqrt -1)) |
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))) |
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2)))) |
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5)))))) |
(/ -1 (sqrt -1)) |
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))) |
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1))) |
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1))) |
(* -1 (+ (log 1/2) (log x))) |
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x))) |
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x))) |
(* -1 (log (/ 1 (sqrt -1)))) |
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1)))) |
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))) |
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))) |
(* -1 (log (/ -1 (sqrt -1)))) |
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))) |
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1)))) |
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1)))) |
(+ (log 1/2) (log x)) |
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2)))) |
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2)))))) |
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2)))))))) |
(log (/ 1 (sqrt -1))) |
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1)))) |
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) |
(log (/ -1 (sqrt -1))) |
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x))) |
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
| Outputs |
|---|
(+ (log 2) (* -1 (log x))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))) |
(-.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (log.f64 #s(literal 2 binary64))) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -3/32 binary64)) #s(literal -1/4 binary64)) (log.f64 #s(literal 2 binary64))) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -5/96 binary64)) #s(literal -3/32 binary64))) #s(literal -1/4 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
(log (sqrt -1)) |
(log.f64 (sqrt.f64 #s(literal -1 binary64))) |
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) |
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) |
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))) |
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) |
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(log (* -1 (sqrt -1))) |
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1 |
#s(literal 1 binary64) |
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(* -1 (* x (sqrt -1))) |
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(/ 2 x) |
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(/ (+ 2 (* -1/2 (pow x 2))) x) |
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(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
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(* -1 (sqrt -1)) |
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(log (sqrt -1)) |
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(log (* -1 (sqrt -1))) |
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(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/32 binary64)) #s(literal 1/4 binary64))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) |
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2)))))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) #s(literal 1/4 binary64))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) |
(log (/ 1 (sqrt -1))) |
(neg.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1)))) |
(+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) |
(+.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -3/40 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) |
(log (/ -1 (sqrt -1))) |
(neg.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x))) |
(-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -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) |
(*.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) |
(*.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)) |
| 4 838× | lower-/.f32 |
| 4 830× | lower-/.f64 |
| 3 718× | lower-*.f32 |
| 3 714× | lower-*.f64 |
| 3 552× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 209 |
| 0 | 52 | 205 |
| 1 | 179 | 187 |
| 2 | 1342 | 187 |
| 0 | 8250 | 184 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) |
(sqrt.f64 #s(literal -1 binary64)) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))) |
(log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(*.f64 x x) |
(*.f64 x #s(literal -1/2 binary64)) |
| Outputs |
|---|
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x)) |
(+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x))) |
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))) |
(+.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x x))) (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))) |
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (*.f64 x x)))))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x)))) |
(+.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))) (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)))) |
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (log.f64 x)) |
(-.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)) (log.f64 (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))))) |
(-.f64 (neg.f64 (log.f64 x)) (log.f64 (/.f64 x (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)))) |
(-.f64 (log1p.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))))) |
(-.f64 (log1p.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))) (log.f64 (neg.f64 x))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))) (log.f64 (*.f64 x (neg.f64 x)))) |
(-.f64 (log.f64 (fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x (*.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) (log.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))))) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (*.f64 x x))))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))))) (log.f64 (+.f64 (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (*.f64 x x))))) |
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x))) |
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (log.f64 x)) |
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x) x)) (log.f64 x)) |
(-.f64 (log.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x)) (log.f64 (*.f64 x (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 x (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))))) (log.f64 (*.f64 x (neg.f64 x)))) |
(-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (log.f64 (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))))) |
(-.f64 (log.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))) (log.f64 (*.f64 x (neg.f64 x)))) |
(-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))))) (log.f64 (*.f64 x x))) |
(-.f64 (log.f64 (+.f64 x (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))) (log.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))) (log.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (neg.f64 x)))) |
(-.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (neg.f64 x) (*.f64 x #s(literal -1 binary64)))) (log.f64 (*.f64 x (neg.f64 x)))) |
(-.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (log.f64 (*.f64 x (neg.f64 x)))) |
(-.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (neg.f64 x) x)) (log.f64 (*.f64 x x))) |
(-.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))) x))) |
(-.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))) (neg.f64 x)))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (neg.f64 x)))) |
(-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))))) (log.f64 (neg.f64 (neg.f64 x)))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))))) (log.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (*.f64 x x)))))) |
(-.f64 (log.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) (log.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x)))) |
(-.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) x))) |
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) (log.f64 (neg.f64 x))) |
(-.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) x)) (log1p.f64 (-.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)) (log1p.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))))))) (/.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))))))))) |
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(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 x x)) (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)) #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 x x)) (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))) (log.f64 (/.f64 x (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)))) (*.f64 (log.f64 x) (log.f64 (/.f64 x (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))) (neg.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)))) (*.f64 (log.f64 (*.f64 x x)) (neg.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 x (neg.f64 x))) (log.f64 (*.f64 x (neg.f64 x))) (fma.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))) (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))) (*.f64 (log.f64 (*.f64 x (neg.f64 x))) (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))))))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 x x)) (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))))) |
(exp.f64 (log.f64 (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
Compiled 23 189 to 2 715 computations (88.3% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 019 | 4 | 1 023 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 022 | 6 | 1 028 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
| ▶ | 99.5% | (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
| ▶ | 98.9% | (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | 100.0% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
| ✓ | 99.5% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
| ▶ | 0.0% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
Compiled 66 to 43 computations (34.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | (*.f64 x #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
| 11 956× | lower-fma.f32 |
| 11 950× | lower-fma.f64 |
| 5 386× | lower-*.f32 |
| 5 372× | lower-*.f64 |
| 1 742× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 352 |
| 0 | 62 | 352 |
| 1 | 116 | 352 |
| 2 | 193 | 352 |
| 3 | 283 | 334 |
| 4 | 334 | 316 |
| 5 | 370 | 316 |
| 6 | 650 | 316 |
| 7 | 1928 | 316 |
| 8 | 3494 | 316 |
| 9 | 5909 | 316 |
| 0 | 8375 | 313 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) |
#s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) |
#s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) |
(*.f64 x #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) |
#s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))) |
(log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) |
(*.f64 x #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) | |
| accuracy | 0 | (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) | |
| accuracy | 0.015625 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 0.2206285327975599 | #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) | |
| accuracy | 0 | (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) | |
| accuracy | 0 | (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) | |
| accuracy | 0.0078125 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 0.34514425339943056 | #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) | |
| accuracy | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 0 | (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) | |
| accuracy | 0 | (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 0.8147590524166961 | #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))) | |
| accuracy | 0 | (*.f64 x #s(literal -1/2 binary64)) | |
| accuracy | 0.0078125 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) | |
| accuracy | 0.33053601803884514 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) | |
| accuracy | 62.99851084435305 | #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) |
| 62.0ms | 256× | 0 | valid |
Compiled 248 to 36 computations (85.5% saved)
ival-mult: 18.0ms (41.1% of total)ival-div: 8.0ms (18.3% of total)ival-add: 7.0ms (16% of total)ival-log: 6.0ms (13.7% of total)ival-sqrt: 2.0ms (4.6% of total)ival-sub: 1.0ms (2.3% of total)exact: 1.0ms (2.3% of total)ival-neg: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.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 (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) (patch (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) (patch (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.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 (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) (patch (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (patch (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) (patch (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (patch (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (log 2) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))) (taylor 0 x) (#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))) (taylor 0 x) (#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))) (taylor 0 x) (#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (log (sqrt -1)) (taylor inf x) (#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (taylor inf x) (#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (taylor inf x) (#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (taylor inf x) (#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (log (* -1 (sqrt -1))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) (patch (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor 0 x) (#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -1/2 (pow x 2))) x) (taylor 0 x) (#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x) (taylor 0 x) (#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x) (taylor 0 x) (#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt -1) (taylor inf x) (#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (/ 1 x)) (taylor inf x) (#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (taylor inf x) (#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (sqrt -1)) (taylor -inf x) (#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (sqrt -1)) (/ 1 x)) (taylor -inf x) (#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))) (taylor -inf x) (#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))) (taylor -inf x) (#s(alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) (patch #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -1/2 (pow x 2))) x) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -1/2 (pow x 2))) x) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -1/2 (pow x 2))) x) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2)) (taylor inf x) (#s(alt #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2)) (taylor inf x) (#s(alt #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2)) (taylor inf x) (#s(alt #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1))) (taylor -inf x) (#s(alt #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1))) (taylor -inf x) (#s(alt #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* 1/8 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/16 (pow x 5)) (taylor inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/16 (pow x 5)) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (* x (+ (* (* x x) (+ (* x (* x 1/16)) 1/8)) 1/2)) |
| 0.0ms | x | @ | inf | (* x (+ (* (* x x) (+ (* x (* x 1/16)) 1/8)) 1/2)) |
| 0.0ms | x | @ | inf | (* x (+ (* x (* x 1/8)) 1/2)) |
| 0.0ms | x | @ | 0 | (* x (+ (* x (* x 1/8)) 1/2)) |
| 0.0ms | x | @ | 0 | (* x (+ (* (* x x) (+ (* x (* x 1/16)) 1/8)) 1/2)) |
| 1× | egg-herbie |
| 8 844× | lower-fma.f64 |
| 8 844× | lower-fma.f32 |
| 3 776× | lower-*.f64 |
| 3 776× | lower-*.f32 |
| 2 436× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 2540 |
| 1 | 711 | 2366 |
| 2 | 1878 | 2308 |
| 3 | 4944 | 2296 |
| 0 | 8212 | 2222 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (log 2) (* -1 (log x))) |
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) |
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) |
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) |
(log (* -1 (sqrt -1))) |
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) |
(/ 2 x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x) |
(sqrt -1) |
(+ (sqrt -1) (/ 1 x)) |
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))) |
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) |
(* -1 (sqrt -1)) |
(+ (* -1 (sqrt -1)) (/ 1 x)) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))) |
(/ 2 x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(* -1/2 x) |
(* x (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(* x (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(* x (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(* -1/2 x) |
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1 (+ (log 1/2) (log x))) |
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x))) |
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x))) |
(* -1 (log (/ 1 (sqrt -1)))) |
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1)))) |
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))) |
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))) |
(* -1 (log (/ -1 (sqrt -1)))) |
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))) |
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1)))) |
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1)))) |
(+ (log 1/2) (log x)) |
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2)))) |
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2)))))) |
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2)))))))) |
(log (/ 1 (sqrt -1))) |
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1)))) |
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) |
(log (/ -1 (sqrt -1))) |
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x))) |
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/8 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2)))))))) |
(/ 1 (sqrt -1)) |
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))) |
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2)))) |
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5)))))) |
(/ -1 (sqrt -1)) |
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))) |
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1))) |
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* -1 (+ (log 1/2) (log x))) |
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x))) |
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x))) |
(* -1 (log (/ 1 (sqrt -1)))) |
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1)))) |
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))) |
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))) |
(* -1 (log (/ -1 (sqrt -1)))) |
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))) |
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1)))) |
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1)))) |
(+ (log 1/2) (log x)) |
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2)))) |
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2)))))) |
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2)))))))) |
(log (/ 1 (sqrt -1))) |
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1)))) |
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) |
(log (/ -1 (sqrt -1))) |
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x))) |
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/8 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2)))))))) |
(/ 1 (sqrt -1)) |
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))) |
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2)))) |
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5)))))) |
(/ -1 (sqrt -1)) |
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))) |
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1))) |
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/8 (pow x 2)))) |
(* x (+ 1/2 (* 1/8 (pow x 2)))) |
(* x (+ 1/2 (* 1/8 (pow x 2)))) |
(* 1/8 (pow x 3)) |
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/8 (pow x 3)) |
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (+ (log 1/2) (log x))) |
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x))) |
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x))) |
(* -1 (log (/ 1 (sqrt -1)))) |
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1)))) |
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))) |
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))) |
(* -1 (log (/ -1 (sqrt -1)))) |
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))) |
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1)))) |
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1)))) |
(+ (log 1/2) (log x)) |
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2)))) |
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2)))))) |
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2)))))))) |
(log (/ 1 (sqrt -1))) |
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1)))) |
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) |
(log (/ -1 (sqrt -1))) |
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x))) |
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/8 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2)))))))) |
(/ 1 (sqrt -1)) |
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))) |
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2)))) |
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5)))))) |
(/ -1 (sqrt -1)) |
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))) |
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1))) |
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/8 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) |
(* 1/16 (pow x 5)) |
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))) |
(* 1/16 (pow x 5)) |
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))) |
| Outputs |
|---|
(+ (log 2) (* -1 (log x))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))) |
(-.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (log.f64 #s(literal 2 binary64))) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))) |
(-.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -3/32 binary64) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -5/96 binary64)) #s(literal -3/32 binary64))) #s(literal -1/4 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
(log (sqrt -1)) |
(log.f64 (sqrt.f64 #s(literal -1 binary64))) |
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) |
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) |
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))) |
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) |
(+.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))) |
(log (* -1 (sqrt -1))) |
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) |
(+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) |
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) |
(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -3/40 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (/ 1 x)) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))))) |
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* -1 (sqrt -1)) |
(neg.f64 (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 (sqrt -1)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))) x) (sqrt.f64 #s(literal -1 binary64))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(* x (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(* x (- (* 2 (/ 1 (pow x 2))) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(* -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) |
(*.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) |
(*.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 (+ (log 1/2) (log x))) |
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64))) |
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))) |
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x))) |
(-.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -3/32 binary64) #s(literal -1/4 binary64)))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x))) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -5/96 binary64)) #s(literal -3/32 binary64))) #s(literal -1/4 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 1/2 binary64))) |
(* -1 (log (/ 1 (sqrt -1)))) |
(log.f64 (sqrt.f64 #s(literal -1 binary64))) |
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1)))) |
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))) |
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))) |
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))) |
(+.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (log (/ -1 (sqrt -1)))) |
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1)))) |
(+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) |
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1)))) |
(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -3/40 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(+ (log 1/2) (log x)) |
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2)))) |
(+.f64 (log.f64 x) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (log.f64 #s(literal 1/2 binary64)))) |
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/32 binary64) #s(literal 1/4 binary64))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) |
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2)))))))) |
(+.f64 (log.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/96 binary64)) #s(literal 3/32 binary64)) #s(literal 1/4 binary64))) (log.f64 #s(literal 1/2 binary64)))) |
(log (/ 1 (sqrt -1))) |
(neg.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1)))) |
(+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) |
(+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) |
(log (/ -1 (sqrt -1))) |
(neg.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -3/40 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/8 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/128 binary64)) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(/ 1 (sqrt -1)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) |
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x)) |
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/ -1 (sqrt -1)) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))) |
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(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -3/40 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/8 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/128 binary64)) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(/ 1 (sqrt -1)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) |
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x)) |
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/ -1 (sqrt -1)) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/8 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(* 1/16 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/16 binary64))) |
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/16 (pow x 5)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/16 binary64))) |
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)))) |
| 4 660× | lower-fma.f32 |
| 4 654× | lower-fma.f64 |
| 4 126× | lower-/.f64 |
| 4 126× | lower-/.f32 |
| 3 902× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 309 |
| 0 | 62 | 309 |
| 1 | 236 | 309 |
| 2 | 1726 | 291 |
| 0 | 8203 | 288 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 x #s(literal -1/2 binary64)) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) |
#s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) |
#s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
(log.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))))))) (/.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
(neg.f64 (log.f64 (/.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))))))) |
(*.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(log.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))) |
(-.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))))) (/.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(neg.f64 (log.f64 (/.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
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(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x #s(literal 1/2 binary64))))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) x (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) #s(literal 1/8 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) #s(literal 1/8 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) x) |
Compiled 6 165 to 616 computations (90% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 307 | 0 | 307 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 2 | 2 |
| Total | 307 | 6 | 313 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
| ✓ | 99.5% | (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
| ✓ | 98.9% | (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | 100.0% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
| ✓ | 99.5% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
| ✓ | 0.0% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
Compiled 164 to 88 computations (46.3% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| Outputs |
|---|
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
3 calls:
| 4.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 4.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 100.0% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
Compiled 29 to 18 computations (37.9% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
3 calls:
| 7.0ms | x |
| 3.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 3.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 99.7% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
Compiled 29 to 18 computations (37.9% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
| Outputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
3 calls:
| 3.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 3.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 99.5% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
Compiled 29 to 18 computations (37.9% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
3 calls:
| 11.0ms | x |
| 2.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 2.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 99.5% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
Compiled 29 to 18 computations (37.9% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
3 calls:
| 2.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 2.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
| 98.9% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 98.9% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
Compiled 29 to 18 computations (37.9% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
| Outputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
3 calls:
| 1.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 1.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 0.0% | 1 | x |
| 0.0% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 0.0% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
Compiled 29 to 18 computations (37.9% saved)
| 1× | egg-herbie |
| 22× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 135 |
| 1 | 73 | 135 |
| 2 | 85 | 135 |
| 3 | 92 | 135 |
| 4 | 94 | 135 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
| Outputs |
|---|
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x)) (*.f64 x #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))) |
| 17 138× | lower-fma.f64 |
| 17 138× | lower-fma.f32 |
| 12 990× | lower-fma.f64 |
| 12 990× | lower-fma.f32 |
| 4 520× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 2610 |
| 1 | 811 | 2480 |
| 2 | 2223 | 2405 |
| 3 | 6220 | 2398 |
| 0 | 8307 | 2305 |
| 0 | 155 | 767 |
| 1 | 409 | 742 |
| 2 | 1098 | 722 |
| 3 | 3202 | 709 |
| 4 | 7969 | 709 |
| 0 | 8467 | 680 |
| 0 | 9 | 42 |
| 0 | 16 | 42 |
| 1 | 69 | 42 |
| 2 | 624 | 38 |
| 3 | 7596 | 38 |
| 0 | 8354 | 38 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 182 to 110 computations (39.6% saved)
Compiled 150 to 82 computations (45.3% saved)
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