
Time bar (total: 7.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 18.8% | 18.7% | 81.2% | 0.1% | 0% | 0% | 0% | 5 |
| 34.4% | 34.3% | 65.6% | 0.1% | 0% | 0% | 0% | 6 |
| 54.7% | 54.6% | 45.3% | 0.1% | 0% | 0% | 0% | 7 |
| 64.8% | 64.8% | 35.1% | 0.1% | 0% | 0% | 0% | 8 |
| 76.2% | 76.1% | 23.8% | 0.1% | 0% | 0% | 0% | 9 |
| 81.8% | 81.8% | 18.1% | 0.1% | 0% | 0% | 0% | 10 |
| 87.8% | 87.7% | 12.2% | 0.1% | 0% | 0% | 0% | 11 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 14 to 9 computations (35.7% saved)
| 716.0ms | 8 256× | 0 | valid |
ival-log: 266.0ms (53.6% of total)ival-hypot: 153.0ms (30.8% of total)ival-div: 63.0ms (12.7% of total)ival-true: 6.0ms (1.2% of total)exact: 5.0ms (1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 112 | 0 | - | 2 | (-1.8260355162018528e-224 1.6598346182392385e-162) | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 0 | 0 | - | 0 | - | (log.f64 #s(literal 10 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 re re) |
| 0 | 0 | - | 0 | - | im |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 0 | 0 | - | 0 | - | re |
| 0 | 0 | - | 0 | - | (*.f64 im im) |
| 0 | 0 | - | 0 | - | #s(literal 10 binary64) |
| 0 | 0 | - | 0 | - | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) | oflow-rescue | 96 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | overflow | 96 | |
| ↳ | (*.f64 re re) | overflow | 53 | |
| ↳ | (*.f64 im im) | overflow | 54 | |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) | uflow-rescue | 14 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | underflow | 14 | |
| ↳ | (*.f64 re re) | underflow | 76 | |
| ↳ | (*.f64 im im) | underflow | 58 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 110 | 2 |
| - | 0 | 144 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 110 | 0 | 2 |
| - | 0 | 0 | 144 |
| number | freq |
|---|---|
| 0 | 146 |
| 1 | 110 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 57.0ms | 512× | 0 | valid |
Compiled 110 to 34 computations (69.1% saved)
ival-hypot: 14.0ms (34.2% of total)ival-log: 13.0ms (31.7% of total)ival-mult: 7.0ms (17.1% of total)ival-div: 3.0ms (7.3% of total)ival-add: 2.0ms (4.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 54× | sub-neg |
| 34× | neg-sub0 |
| 30× | distribute-lft-neg-in |
| 28× | unsub-neg |
| 28× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 62 |
| 1 | 50 | 62 |
| 2 | 96 | 62 |
| 3 | 173 | 62 |
| 4 | 238 | 62 |
| 5 | 260 | 62 |
| 6 | 271 | 62 |
| 7 | 282 | 62 |
| 8 | 285 | 62 |
| 9 | 286 | 62 |
| 0 | 10 | 12 |
| 0 | 17 | 12 |
| 1 | 18 | 12 |
| 0 | 18 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| Outputs |
|---|
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) |
(abs im)
(abs re)
(sort re im)
Compiled 12 to 10 computations (16.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.4% | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 re re) | |
| cost-diff | 0 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) | |
| cost-diff | 0 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) | |
| cost-diff | 128 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 4× | lower-hypot.f32 |
| 4× | lower-hypot.f64 |
| 4× | lower-fma.f64 |
| 4× | lift-*.f64 |
| 4× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 47 |
| 0 | 17 | 47 |
| 1 | 18 | 47 |
| 0 | 18 | 31 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
(+.f64 (*.f64 re re) (*.f64 im im)) |
(*.f64 re re) |
re |
(*.f64 im im) |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
| Outputs |
|---|
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
(log.f64 (hypot.f64 im re)) |
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
(hypot.f64 im re) |
(+.f64 (*.f64 re re) (*.f64 im im)) |
(fma.f64 im im (*.f64 re re)) |
(*.f64 re re) |
re |
(*.f64 im im) |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) | |
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.6361313476844203 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) | |
| accuracy | 25.949511791041736 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 26.0ms | 256× | 0 | valid |
Compiled 49 to 12 computations (75.5% saved)
ival-log: 6.0ms (33% of total)ival-hypot: 6.0ms (33% of total)ival-mult: 4.0ms (22% of total)ival-div: 2.0ms (11% of total)ival-add: 1.0ms (5.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ()) |
#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 10 binary64)) (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow im 2) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt im (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* 1/2 (/ (pow re 2) im))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (log (/ 1 re)) (log 10))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 re))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor inf re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor inf re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor inf re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor inf re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt re (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor -inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (log (/ -1 re)) (log 10))) (taylor -inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | re | @ | inf | ((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10)) |
| 2.0ms | re | @ | 0 | ((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10)) |
| 2.0ms | im | @ | 0 | ((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10)) |
| 2.0ms | im | @ | inf | ((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10)) |
| 1.0ms | re | @ | -inf | ((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10)) |
| 1× | egg-herbie |
| 14 804× | lower-fma.f64 |
| 14 804× | lower-fma.f32 |
| 4 746× | lower-*.f64 |
| 4 746× | lower-*.f32 |
| 3 910× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 1676 |
| 1 | 730 | 1632 |
| 2 | 2203 | 1630 |
| 3 | 5799 | 1618 |
| 0 | 8392 | 1506 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow im 2) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(/ (log im) (log 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(log im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
im |
(+ im (* 1/2 (/ (pow re 2) im))) |
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) |
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) |
(pow re 2) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -1 (log (/ 1 re))) |
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
re |
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(pow re 2) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* -1 (/ (log (/ -1 re)) (log 10))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -1 (log (/ -1 re))) |
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(* -1 re) |
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
(pow re 2) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(/ (log re) (log 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(log re) |
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) |
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2)))))) |
re |
(+ re (* 1/2 (/ (pow im 2) re))) |
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) |
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re))))) |
(pow im 2) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* -1 (log (/ 1 im))) |
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
im |
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(pow im 2) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* -1 (log (/ -1 im))) |
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 im) |
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
| Outputs |
|---|
(pow im 2) |
(*.f64 im im) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(/ (log im) (log 10)) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 (*.f64 re re) im) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (*.f64 re (/.f64 re (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) im) im)) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) re) (pow.f64 im #s(literal 6 binary64))) (/.f64 re (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) |
(log im) |
(log.f64 im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im)) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im))) |
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) re) (/.f64 re (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (log.f64 im))) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
im |
(+ im (* 1/2 (/ (pow re 2) im))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im) |
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) re) (/.f64 re (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) im) |
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) re) (/.f64 re (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)) |
(pow re 2) |
(*.f64 re re) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 (*.f64 im im) re) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))))) |
(* -1 (log (/ 1 re))) |
(log.f64 re) |
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re)) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re)))) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
re |
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) #s(literal 1 binary64) re) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal 1 binary64))) re) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal 1 binary64)))) re) |
(pow re 2) |
(*.f64 re re) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* -1 (/ (log (/ -1 re)) (log 10))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64))))))) |
(* -1 (log (/ -1 re))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re))) |
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(fma.f64 (*.f64 (/.f64 (/.f64 im re) re) im) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) im) (/.f64 im (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 im im) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) im) (/.f64 im (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) im) im (fma.f64 (*.f64 (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re))))) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(* -1 re) |
(neg.f64 re) |
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) #s(literal -1 binary64) (neg.f64 re)) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal -1 binary64))) re) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
(*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal -1 binary64)))) re) |
(pow re 2) |
(*.f64 re re) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(/ (log re) (log 10)) |
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 (*.f64 im im) re) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) im) (pow.f64 re #s(literal 6 binary64))) (/.f64 im (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))) |
(log re) |
(log.f64 re) |
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re)) |
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re))) |
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) im) (/.f64 im (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)) (log.f64 re))) |
re |
(+ re (* 1/2 (/ (pow im 2) re))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im im) re) |
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) im) (/.f64 im (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re) |
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) im) (/.f64 im (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re) |
(pow im 2) |
(*.f64 im im) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 (*.f64 re re) im) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(fma.f64 (fma.f64 (*.f64 re (/.f64 re (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) im) im)) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))) |
(* -1 (log (/ 1 im))) |
(log.f64 im) |
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im)) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 im)))) |
im |
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(fma.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64)))) im (fma.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im)) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) #s(literal 1 binary64)))) im) |
(pow im 2) |
(*.f64 im im) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))))))) |
(* -1 (log (/ -1 im))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(fma.f64 (*.f64 (/.f64 (/.f64 re im) im) re) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 (/.f64 re im) im) re) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) re) (/.f64 re (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) re) re (fma.f64 (*.f64 (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/720 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))) |
(* -1 im) |
(neg.f64 im) |
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im)) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 (/.f64 re im) im) #s(literal -1 binary64))) im) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 (/.f64 re im) im) #s(literal -1 binary64)))) im) |
| 4 802× | lower-fma.f64 |
| 4 802× | lower-fma.f32 |
| 3 340× | lower-*.f32 |
| 3 336× | lower-*.f64 |
| 3 206× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 41 |
| 0 | 17 | 41 |
| 1 | 44 | 41 |
| 2 | 251 | 41 |
| 3 | 2046 | 41 |
| 0 | 8387 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 re re) (*.f64 im im)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
(*.f64 re re) |
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
(log.f64 #s(literal 10 binary64)) |
| Outputs |
|---|
(*.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (exp.f64 (neg.f64 (log.f64 (*.f64 (-.f64 re im) (+.f64 im re)))))) |
(*.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))))) (exp.f64 (neg.f64 (log.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (+.f64 (pow.f64 im #s(literal 18 binary64)) (pow.f64 re #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (*.f64 im re) #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (-.f64 (pow.f64 re #s(literal 8 binary64)) (pow.f64 im #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 im re) #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 re #s(literal 8 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 im re) (fma.f64 im im (*.f64 re re))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 re im) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (*.f64 im im) (fma.f64 im im (*.f64 re re)) (pow.f64 re #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (-.f64 (pow.f64 re #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 re #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (pow.f64 re #s(literal 8 binary64)))) |
(*.f64 (pow.f64 (+.f64 im re) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 re im) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 im im (*.f64 re re))) |
(*.f64 (/.f64 (fma.f64 im im (*.f64 re re)) (+.f64 im re)) (+.f64 im re)) |
(*.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 im re) (-.f64 im re)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re)))))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re))))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re)))))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))))) (neg.f64 (sqrt.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))))) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 im re))) (sqrt.f64 (-.f64 re im))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 8 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1 binary64)))) (hypot.f64 (*.f64 im im) (*.f64 re re))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (*.f64 im re) #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 re #s(literal 8 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 im #s(literal 18 binary64)) (pow.f64 re #s(literal 18 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (*.f64 im re) #s(literal 6 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re)))))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (*.f64 (+.f64 im re) (-.f64 im re))))) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re)))))) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 8 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (-.f64 re im) (+.f64 im re))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 im re) #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 re #s(literal 8 binary64))) (*.f64 (-.f64 re im) (+.f64 im re))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 im #s(literal 18 binary64)) (pow.f64 re #s(literal 18 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (*.f64 im re) #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) (*.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (pow.f64 im #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal -1 binary64))))) |
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re)))))) |
(/.f64 (exp.f64 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 8 binary64)) (pow.f64 im #s(literal 8 binary64)))) (sqrt.f64 (*.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64)))) (sqrt.f64 (*.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (+.f64 (+.f64 (pow.f64 (*.f64 im re) #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 re #s(literal 8 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64)))) (sqrt.f64 (*.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 im #s(literal 9 binary64)) (pow.f64 re #s(literal 9 binary64))) (sqrt.f64 (*.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (*.f64 im re) #s(literal 6 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re)))) |
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (hypot.f64 im re) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 im re) (-.f64 im re)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal -1 binary64))) |
(sqrt.f64 (fma.f64 im im (*.f64 re re))) |
(hypot.f64 im re) |
(hypot.f64 re im) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (hypot.f64 im re))) |
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) |
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) |
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))) |
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) |
(/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64)) |
(neg.f64 (log.f64 #s(literal 1/10 binary64))) |
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64)))) |
(log.f64 #s(literal 10 binary64)) |
Compiled 10 557 to 1 829 computations (82.7% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 409 | 12 | 421 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 410 | 12 | 422 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.0% | (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| 99.0% | (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))) | |
| 99.0% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))) | |
| 57.4% | (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) | |
| ▶ | 99.0% | (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
| 57.4% | (/.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))) (log.f64 #s(literal 10 binary64))) | |
| 99.0% | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) | |
| ▶ | 57.4% | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
| ▶ | 98.6% | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
| ▶ | 99.0% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
| 99.0% | (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) | |
| 26.6% | (-.f64 (/.f64 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))) (log.f64 #s(literal 10 binary64)))) |
Compiled 312 to 262 computations (16% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 #s(literal 10 binary64)) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) | |
| cost-diff | 0 | (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) | |
| cost-diff | 12928 | (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (hypot.f64 im re) | |
| cost-diff | 0 | (log.f64 (hypot.f64 im re)) | |
| cost-diff | 0 | (neg.f64 (log.f64 (hypot.f64 im re))) | |
| cost-diff | 0 | (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) | |
| cost-diff | 0 | (*.f64 re re) | |
| cost-diff | 0 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) | |
| cost-diff | 0 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) | |
| cost-diff | 128 | (+.f64 (*.f64 re re) (*.f64 im im)) | |
| cost-diff | 0 | (log.f64 #s(literal 10 binary64)) | |
| cost-diff | 0 | (log.f64 im) | |
| cost-diff | 0 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) | |
| cost-diff | 0 | (log.f64 (hypot.f64 im re)) | |
| cost-diff | 0 | (log.f64 #s(literal 10 binary64)) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
| 86× | lower-*.f32 |
| 82× | lower-*.f64 |
| 66× | lower-fma.f64 |
| 66× | lower-fma.f32 |
| 40× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 179 |
| 0 | 51 | 152 |
| 1 | 68 | 152 |
| 2 | 83 | 148 |
| 3 | 96 | 148 |
| 4 | 134 | 148 |
| 5 | 181 | 148 |
| 6 | 216 | 148 |
| 7 | 234 | 148 |
| 8 | 242 | 148 |
| 9 | 248 | 148 |
| 10 | 251 | 148 |
| 11 | 257 | 148 |
| 12 | 257 | 148 |
| 0 | 257 | 147 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
#s(literal 1 binary64) |
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
(+.f64 (*.f64 re re) (*.f64 im im)) |
(*.f64 re re) |
re |
(*.f64 im im) |
im |
(neg.f64 (log.f64 #s(literal 1/10 binary64))) |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
(neg.f64 (log.f64 (hypot.f64 im re))) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) |
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
#s(literal 1 binary64) |
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) |
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(log.f64 (hypot.f64 im re)) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 im re) |
(hypot.f64 re im) |
im |
re |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
(log.f64 (hypot.f64 re im)) |
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
(hypot.f64 re im) |
(+.f64 (*.f64 re re) (*.f64 im im)) |
(fma.f64 re re (*.f64 im im)) |
(*.f64 re re) |
re |
(*.f64 im im) |
im |
(neg.f64 (log.f64 #s(literal 1/10 binary64))) |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(neg.f64 (log.f64 (hypot.f64 im re))) |
(neg.f64 (log.f64 (hypot.f64 re im))) |
(log.f64 (hypot.f64 im re)) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 im re) |
(hypot.f64 re im) |
im |
re |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -1/2 binary64)) |
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) |
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(log.f64 (hypot.f64 im re)) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 im re) |
(hypot.f64 re im) |
im |
re |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.09375 | (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) | |
| accuracy | 0.328125 | (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.44177631837909415 | (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) | |
| accuracy | 0 | (neg.f64 (log.f64 (hypot.f64 im re))) | |
| accuracy | 0 | (log.f64 (hypot.f64 im re)) | |
| accuracy | 0.48378759768442026 | (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) | |
| accuracy | 0.73828125 | (log.f64 #s(literal 1/10 binary64)) | |
| accuracy | 0 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) | |
| accuracy | 0.48378759768442026 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) | |
| accuracy | 0.73828125 | (log.f64 #s(literal 1/10 binary64)) | |
| accuracy | 22.316390264110773 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) | |
| accuracy | 0 | (log.f64 im) | |
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.119607813862084 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| accuracy | 0.48378759768442026 | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) | |
| accuracy | 0 | (log.f64 (hypot.f64 im re)) | |
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.21875 | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) | |
| accuracy | 0.44177631837909415 | (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) |
| 57.0ms | 189× | 0 | valid |
| 17.0ms | 67× | 0 | invalid |
Compiled 240 to 28 computations (88.3% saved)
ival-log: 18.0ms (35.6% of total)ival-div: 8.0ms (15.8% of total)ival-hypot: 8.0ms (15.8% of total)const: 4.0ms (7.9% of total)ival-pow: 4.0ms (7.9% of total)ival-mult: 3.0ms (5.9% of total)ival-pow2: 2.0ms (4% of total)ival-neg: 2.0ms (4% of total)ival-add: 1.0ms (2% 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 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 10 binary64)) (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ()) |
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ()) |
#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ()) |
#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log.f64 (hypot.f64 im re))) (patch (neg.f64 (log.f64 (hypot.f64 im re))) #<representation binary64>) () ()) |
#s(alt (hypot.f64 im re) (patch (hypot.f64 im re) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 1/10 binary64)) (patch (log.f64 #s(literal 1/10 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log 10) (log im)) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ()) |
#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ()) |
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log im) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (pow im 2) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (log im) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (/ -1 im)) (log 1/10)) (taylor -inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) (taylor -inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))) (taylor -inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ -1 im))) (taylor -inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) (taylor -inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log (/ -1 im)) (log 1/10)) (taylor -inf im) (#s(alt (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) (taylor -inf im) (#s(alt (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))) (taylor -inf im) (#s(alt (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))) (taylor -inf im) (#s(alt (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log (/ -1 im)) (taylor -inf im) (#s(alt (neg.f64 (log.f64 (hypot.f64 im re))) (patch (neg.f64 (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/2 (/ (pow re 2) (pow im 2))) (* -1 (log (/ -1 im)))) (taylor -inf im) (#s(alt (neg.f64 (log.f64 (hypot.f64 im re))) (patch (neg.f64 (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))) (taylor -inf im) (#s(alt (neg.f64 (log.f64 (hypot.f64 im re))) (patch (neg.f64 (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (neg.f64 (log.f64 (hypot.f64 im re))) (patch (neg.f64 (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 im) (taylor -inf im) (#s(alt (hypot.f64 im re) (patch (hypot.f64 im re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (hypot.f64 im re) (patch (hypot.f64 im re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor -inf im) (#s(alt (hypot.f64 im re) (patch (hypot.f64 im re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) (taylor -inf im) (#s(alt (hypot.f64 im re) (patch (hypot.f64 im re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (log (/ -1 im)) (log 10))) (taylor -inf im) (#s(alt (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) (taylor -inf im) (#s(alt (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) (taylor -inf im) (#s(alt (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)) (taylor -inf im) (#s(alt (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))) (taylor -inf im) (#s(alt (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)))) (taylor -inf im) (#s(alt (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log 10))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2))))))) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))))) (taylor -inf im) (#s(alt (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 im) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | im | @ | 0 | ((/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (sqrt (+ (* im im) (* re re))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (+ (* re re) (* im im))) (log 1/10)) |
| 17.0ms | im | @ | -inf | ((/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (sqrt (+ (* im im) (* re re))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (+ (* re re) (* im im))) (log 1/10)) |
| 13.0ms | im | @ | inf | ((/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (sqrt (+ (* im im) (* re re))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (+ (* re re) (* im im))) (log 1/10)) |
| 6.0ms | re | @ | 0 | ((/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (sqrt (+ (* im im) (* re re))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (+ (* re re) (* im im))) (log 1/10)) |
| 5.0ms | re | @ | inf | ((/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (sqrt (+ (* im im) (* re re))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (+ (* re re) (* im im))) (log 1/10)) |
| 1× | egg-herbie |
| 9 184× | lower-fma.f64 |
| 9 184× | lower-fma.f32 |
| 7 998× | lower-*.f64 |
| 7 998× | lower-*.f32 |
| 3 404× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 837 | 8978 |
| 1 | 2576 | 8628 |
| 0 | 8528 | 8208 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log im) (log 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(/ (log 10) (log im)) |
(+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im))) |
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) |
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) |
(log im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) |
(/ (log im) (log 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(log im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) |
(pow im 2) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(* -1 (/ (log im) (log 1/10))) |
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(log im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(* -1 (/ (log im) (log 1/10))) |
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(* -1 (log im)) |
(- (* -1/2 (/ (pow re 2) (pow im 2))) (log im)) |
(- (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (log im)) |
(- (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))) (log im)) |
im |
(+ im (* 1/2 (/ (pow re 2) im))) |
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) |
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) |
(/ (log im) (log 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(sqrt (/ (log im) (log 10))) |
(+ (sqrt (/ (log im) (log 10))) (* 1/4 (* (/ (pow re 2) (pow im 2)) (sqrt (/ 1 (* (log 10) (log im))))))) |
(+ (sqrt (/ (log im) (log 10))) (* (pow re 2) (+ (* -1/2 (* (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (log 10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 10) (log im))))))) (sqrt (/ (log 10) (log im))))) (* 1/4 (* (/ 1 (pow im 2)) (sqrt (/ 1 (* (log 10) (log im))))))))) |
(+ (sqrt (/ (log im) (log 10))) (* (pow re 2) (+ (* 1/4 (* (/ 1 (pow im 2)) (sqrt (/ 1 (* (log 10) (log im)))))) (* (pow re 2) (+ (* -1/2 (* (sqrt (/ (log 10) (log im))) (+ (* 1/4 (/ 1 (* (pow im 4) (log 10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 10) (log im)))))))) (* 1/2 (* (* (pow re 2) (- (* 1/6 (/ 1 (* (pow im 6) (log 10)))) (* -1/4 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (log 10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 10) (log im)))))) (* (pow im 2) (log im)))))) (sqrt (/ (log 10) (log im)))))))))) |
im |
(+ im (* 1/2 (/ (pow re 2) im))) |
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) |
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -1 (/ (log 10) (log (/ 1 re)))) |
(+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 10)) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2))))))) |
(* -1 (log (/ 1 re))) |
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -1 (log (/ 1 re))) |
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(pow re 2) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(/ (log (/ 1 re)) (log 1/10)) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))) |
(* -1 (log (/ 1 re))) |
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(/ (log (/ 1 re)) (log 1/10)) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))) |
(log (/ 1 re)) |
(- (* -1/2 (/ (pow im 2) (pow re 2))) (* -1 (log (/ 1 re)))) |
(- (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(- (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
re |
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* (sqrt (/ (log (/ 1 re)) (log 10))) (sqrt -1)) |
(+ (* 1/4 (* (/ (pow im 2) (* (pow re 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 re))))))) (* (sqrt (/ (log (/ 1 re)) (log 10))) (sqrt -1))) |
(+ (* 1/4 (* (/ (pow im 2) (* (pow re 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 re))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow im 4) (log 10))) (* 1/16 (/ (pow im 4) (* (log 10) (* (log (/ 1 re)) (pow (sqrt -1) 2)))))) (* (pow re 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 re)))))) (* (sqrt (/ (log (/ 1 re)) (log 10))) (sqrt -1)))) |
(+ (* 1/4 (* (/ (pow im 2) (* (pow re 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 re))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow im 4) (log 10))) (* 1/16 (/ (pow im 4) (* (log 10) (* (log (/ 1 re)) (pow (sqrt -1) 2)))))) (* (pow re 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 re)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log 10))) (* 1/4 (/ (* (pow im 2) (- (* -1/4 (/ (pow im 4) (log 10))) (* 1/16 (/ (pow im 4) (* (log 10) (* (log (/ 1 re)) (pow (sqrt -1) 2))))))) (* (log (/ 1 re)) (pow (sqrt -1) 2))))) (* (pow re 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 re)))))) (* (sqrt (/ (log (/ 1 re)) (log 10))) (sqrt -1))))) |
re |
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(* -1 (/ (log (/ -1 re)) (log 10))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -1 (/ (log 10) (log (/ -1 re)))) |
(+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 10)) (pow (log (/ -1 re)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ -1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))))) |
(* -1 (log (/ -1 re))) |
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (/ (log (/ -1 re)) (log 10))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -1 (log (/ -1 re))) |
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(pow re 2) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(/ (log (/ -1 re)) (log 1/10)) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))) |
(* -1 (log (/ -1 re))) |
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(/ (log (/ -1 re)) (log 1/10)) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))) |
(log (/ -1 re)) |
(- (* -1/2 (/ (pow im 2) (pow re 2))) (* -1 (log (/ -1 re)))) |
(- (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(- (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 re) |
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
(* -1 (/ (log (/ -1 re)) (log 10))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* (sqrt (/ (log (/ -1 re)) (log 10))) (sqrt -1)) |
(+ (* 1/4 (* (/ (pow im 2) (* (pow re 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 re))))))) (* (sqrt (/ (log (/ -1 re)) (log 10))) (sqrt -1))) |
(+ (* 1/4 (* (/ (pow im 2) (* (pow re 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 re))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow im 4) (log 10))) (* 1/16 (/ (pow im 4) (* (log 10) (* (log (/ -1 re)) (pow (sqrt -1) 2)))))) (* (pow re 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 re)))))) (* (sqrt (/ (log (/ -1 re)) (log 10))) (sqrt -1)))) |
(+ (* 1/4 (* (/ (pow im 2) (* (pow re 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 re))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow im 4) (log 10))) (* 1/16 (/ (pow im 4) (* (log 10) (* (log (/ -1 re)) (pow (sqrt -1) 2)))))) (* (pow re 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 re)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log 10))) (* 1/4 (/ (* (pow im 2) (- (* -1/4 (/ (pow im 4) (log 10))) (* 1/16 (/ (pow im 4) (* (log 10) (* (log (/ -1 re)) (pow (sqrt -1) 2))))))) (* (log (/ -1 re)) (pow (sqrt -1) 2))))) (* (pow re 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 re)))))) (* (sqrt (/ (log (/ -1 re)) (log 10))) (sqrt -1))))) |
(* -1 re) |
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
(/ (log re) (log 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(/ (log 10) (log re)) |
(+ (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log re) 2)))) (/ (log 10) (log re))) |
(+ (* (pow im 2) (- (* -1 (* (pow im 2) (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ (log 10) (* (pow re 2) (pow (log re) 2)))))) (/ (log 10) (log re))) |
(+ (* (pow im 2) (- (* (pow im 2) (- (* -1 (* (pow im 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3))))) (* (pow re 2) (log re)))) (+ (* 1/8 (/ (log 10) (* (pow re 6) (pow (log re) 3)))) (* 1/6 (/ (log 10) (* (pow re 6) (pow (log re) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ (log 10) (* (pow re 2) (pow (log re) 2)))))) (/ (log 10) (log re))) |
(log re) |
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) |
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2)))))) |
(/ (log re) (log 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(log re) |
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) |
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2)))))) |
(log im) |
(log im) |
(log im) |
(log im) |
(pow re 2) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(* -1 (/ (log re) (log 1/10))) |
(+ (* -1 (/ (log re) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10))))) |
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(log re) |
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) |
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2)))))) |
(* -1 (/ (log re) (log 1/10))) |
(+ (* -1 (/ (log re) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10))))) |
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(* -1 (log re)) |
(- (* -1/2 (/ (pow im 2) (pow re 2))) (log re)) |
(- (* (pow im 2) (- (* 1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))) (log re)) |
(- (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))) (log re)) |
re |
(+ re (* 1/2 (/ (pow im 2) re))) |
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) |
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re))))) |
(/ (log re) (log 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(sqrt (/ (log re) (log 10))) |
(+ (sqrt (/ (log re) (log 10))) (* 1/4 (* (/ (pow im 2) (pow re 2)) (sqrt (/ 1 (* (log 10) (log re))))))) |
(+ (sqrt (/ (log re) (log 10))) (* (pow im 2) (+ (* -1/2 (* (* (pow im 2) (+ (* 1/4 (/ 1 (* (pow re 4) (log 10)))) (* 1/16 (/ 1 (* (pow re 4) (* (log 10) (log re))))))) (sqrt (/ (log 10) (log re))))) (* 1/4 (* (/ 1 (pow re 2)) (sqrt (/ 1 (* (log 10) (log re))))))))) |
(+ (sqrt (/ (log re) (log 10))) (* (pow im 2) (+ (* 1/4 (* (/ 1 (pow re 2)) (sqrt (/ 1 (* (log 10) (log re)))))) (* (pow im 2) (+ (* -1/2 (* (sqrt (/ (log 10) (log re))) (+ (* 1/4 (/ 1 (* (pow re 4) (log 10)))) (* 1/16 (/ 1 (* (pow re 4) (* (log 10) (log re)))))))) (* 1/2 (* (* (pow im 2) (- (* 1/6 (/ 1 (* (pow re 6) (log 10)))) (* -1/4 (/ (+ (* 1/4 (/ 1 (* (pow re 4) (log 10)))) (* 1/16 (/ 1 (* (pow re 4) (* (log 10) (log re)))))) (* (pow re 2) (log re)))))) (sqrt (/ (log 10) (log re)))))))))) |
re |
(+ re (* 1/2 (/ (pow im 2) re))) |
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) |
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re))))) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
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(+ (* -1 (/ (log 10) (log (/ 1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ 1 im)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ 1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ 1 im)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ 1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ 1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ 1 im)) 2))))))) |
(* -1 (log (/ 1 im))) |
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* -1 (log (/ 1 im))) |
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
(pow im 2) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(/ (log (/ 1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))) |
(* -1 (log (/ 1 im))) |
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(/ (log (/ 1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))) |
(log (/ 1 im)) |
(- (* -1/2 (/ (pow re 2) (pow im 2))) (* -1 (log (/ 1 im)))) |
(- (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(- (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
im |
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1)) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 im))))))) (* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ 1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 im)))))) (* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1)))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ 1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log 10))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ 1 im)) (pow (sqrt -1) 2))))))) (* (log (/ 1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 im)))))) (* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1))))) |
im |
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* -1 (/ (log 10) (log (/ -1 im)))) |
(+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))))) |
(* -1 (log (/ -1 im))) |
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* -1 (log (/ -1 im))) |
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(pow im 2) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(/ (log (/ -1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))) |
(* -1 (log (/ -1 im))) |
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(/ (log (/ -1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))) |
(log (/ -1 im)) |
(- (* -1/2 (/ (pow re 2) (pow im 2))) (* -1 (log (/ -1 im)))) |
(- (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(- (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 im) |
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log 10))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2))))))) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))))) |
(* -1 im) |
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
| Outputs |
|---|
(/ (log im) (log 10)) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
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(log im) |
(log.f64 im) |
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(log im) |
(log.f64 im) |
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(pow im 2) |
(*.f64 im im) |
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(log im) |
(log.f64 im) |
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(pow re 2) |
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(pow re 2) |
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(* -1 (log im)) |
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im |
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(/ (log im) (log 10)) |
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(sqrt (/ (log im) (log 10))) |
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
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im |
(+ im (* 1/2 (/ (pow re 2) im))) |
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re |
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(* -1 (log (/ -1 re))) |
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(pow re 2) |
(*.f64 re re) |
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(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
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(* -1 (log (/ -1 re))) |
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(pow re 2) |
(*.f64 re re) |
(pow re 2) |
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(pow re 2) |
(*.f64 re re) |
(pow re 2) |
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(/ (log re) (log 10)) |
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(/ (log 10) (log re)) |
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(log re) |
(log.f64 re) |
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(/ (log re) (log 10)) |
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(log re) |
(log.f64 re) |
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(log im) |
(log.f64 im) |
(log im) |
(log.f64 im) |
(log im) |
(log.f64 im) |
(log im) |
(log.f64 im) |
(pow re 2) |
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(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) im) im)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) im) im)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log 10))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2))))))) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))))) |
(fma.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 6 binary64)))))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) im) im)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 im) |
(neg.f64 im) |
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(*.f64 (neg.f64 im) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) #s(literal 1 binary64))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(*.f64 (neg.f64 im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) #s(literal 1 binary64)))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 im #s(literal 4 binary64))))) im im)) |
| 3 554× | lower-*.f32 |
| 3 550× | lower-*.f64 |
| 3 496× | lower-fma.f64 |
| 3 496× | lower-fma.f32 |
| 2 082× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 129 |
| 0 | 51 | 96 |
| 1 | 144 | 96 |
| 2 | 653 | 96 |
| 3 | 5790 | 96 |
| 0 | 8401 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) |
(log.f64 #s(literal 10 binary64)) |
(log.f64 (hypot.f64 im re)) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
(+.f64 (*.f64 re re) (*.f64 im im)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
(*.f64 re re) |
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
(neg.f64 (log.f64 (hypot.f64 im re))) |
(hypot.f64 im re) |
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) |
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
(log.f64 #s(literal 1/10 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (log.f64 (hypot.f64 re im))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (log.f64 (hypot.f64 re im))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)))) |
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (hypot.f64 re im))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 #s(literal 10 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64))) |
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64))) |
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))))) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal -2 binary64))) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))) (log.f64 (hypot.f64 re im))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (log.f64 (hypot.f64 re im))) |
(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))))) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))) (*.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) |
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(hypot.f64 im (exp.f64 (log.f64 re))) |
(hypot.f64 im re) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 re re (*.f64 im im)) (fma.f64 re re (*.f64 im im)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (hypot.f64 re im))) |
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) |
(*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) |
(pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) |
(/.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) |
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))) |
(neg.f64 (log.f64 #s(literal 10 binary64))) |
(fma.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64)) |
(fma.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 #s(literal 1/10 binary64)))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) |
(+.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64)) |
(log.f64 #s(literal 1/10 binary64)) |
Compiled 41 424 to 4 624 computations (88.8% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 993 | 12 | 2 005 |
| Fresh | 5 | 2 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 001 | 16 | 2 017 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.8% | (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
| 37.2% | (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 72.7% | (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) | |
| 98.5% | (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64))) | |
| ▶ | 57.4% | (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
| 99.0% | (/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im)))) | |
| ✓ | 99.0% | (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
| ▶ | 98.6% | (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
| ▶ | 99.0% | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
| 25.7% | (/.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64))) | |
| ✓ | 98.6% | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
| 98.6% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| ▶ | 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) |
| 98.6% | (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| 99.0% | (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) | |
| 98.9% | #s(approx (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) |
Compiled 338 to 315 computations (6.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (hypot.f64 re im)) | |
| cost-diff | 0 | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) | |
| cost-diff | 0 | (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) | |
| cost-diff | 320 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) | |
| cost-diff | 0 | (fma.f64 im im (*.f64 re re)) | |
| cost-diff | 0 | (log.f64 (fma.f64 im im (*.f64 re re))) | |
| cost-diff | 0 | (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) | |
| cost-diff | 0 | (log.f64 im) | |
| cost-diff | 0 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| cost-diff | 0 | (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) | |
| cost-diff | 0 | (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) | |
| cost-diff | 0 | (log.f64 #s(literal 10 binary64)) | |
| cost-diff | 0 | (hypot.f64 re im) | |
| cost-diff | 0 | (log.f64 (hypot.f64 re im)) | |
| cost-diff | 0 | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
| 324× | lower-fma.f32 |
| 324× | lower-*.f32 |
| 322× | lower-fma.f64 |
| 316× | lower-*.f64 |
| 200× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 187 |
| 0 | 54 | 177 |
| 1 | 73 | 177 |
| 2 | 108 | 175 |
| 3 | 174 | 175 |
| 4 | 361 | 175 |
| 5 | 539 | 175 |
| 6 | 748 | 175 |
| 7 | 934 | 175 |
| 8 | 1031 | 175 |
| 9 | 1270 | 175 |
| 10 | 1272 | 175 |
| 0 | 1272 | 175 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
re |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) |
(log.f64 (fma.f64 im im (*.f64 re re))) |
(fma.f64 im im (*.f64 re re)) |
im |
(*.f64 re re) |
re |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) |
#s(literal -1 binary64) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
re |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
re |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(literal 1/4 binary64) |
#s(literal 4 binary64) |
| Outputs |
|---|
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) |
(log.f64 (hypot.f64 re im)) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 re im) |
(hypot.f64 im re) |
re |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (fma.f64 im im (*.f64 re re)))) |
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) |
(log.f64 (fma.f64 im im (*.f64 re re))) |
(fma.f64 im im (*.f64 re re)) |
im |
(*.f64 re re) |
re |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) |
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 im re))) |
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) |
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) |
#s(literal -1 binary64) |
(log.f64 (hypot.f64 re im)) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 re im) |
(hypot.f64 im re) |
re |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) |
(log.f64 (hypot.f64 re im)) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 re im) |
(hypot.f64 im re) |
re |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(literal 1/4 binary64) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.02734375 | (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) | |
| accuracy | 0.48378759768442026 | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) | |
| accuracy | 0.591694091895471 | (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) | |
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.171875 | (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) | |
| accuracy | 0.21875 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) | |
| accuracy | 0.459980029305326 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) | |
| accuracy | 0 | (*.f64 re re) | |
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.48378759768442026 | (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) | |
| accuracy | 23.24861387842884 | (log.f64 (fma.f64 im im (*.f64 re re))) | |
| accuracy | 0 | (log.f64 im) | |
| accuracy | 0.119607813862084 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| accuracy | 0.48378759768442026 | (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) | |
| accuracy | 0.73828125 | (log.f64 #s(literal 1/10 binary64)) | |
| accuracy | 0 | (hypot.f64 re im) | |
| accuracy | 0 | (log.f64 (hypot.f64 re im)) | |
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.48378759768442026 | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
| 52.0ms | 189× | 0 | valid |
| 17.0ms | 67× | 0 | invalid |
Compiled 269 to 31 computations (88.5% saved)
ival-log: 14.0ms (27.4% of total)ival-div: 10.0ms (19.5% of total)ival-mult: 7.0ms (13.7% of total)ival-pow: 7.0ms (13.7% of total)ival-hypot: 5.0ms (9.8% of total)const: 4.0ms (7.8% of total)ival-neg: 2.0ms (3.9% of total)ival-add: 1.0ms (2% of total)exact: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ()) |
#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 10 binary64)) (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ()) |
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ()) |
#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) (patch (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 1/10 binary64)) (patch (log.f64 #s(literal 1/10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ()) |
#s(alt im (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* 1/2 (/ (pow re 2) im))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/2 (/ (pow re 2) (pow im 2))) (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))) (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (log im) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (log (pow im 2)) (log 10))) (taylor 0 re) (#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) (taylor 0 re) (#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) (taylor 0 re) (#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) (taylor 0 re) (#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (log (pow im 2))) (taylor 0 re) (#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (log (pow im 2)) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (pow im 2) (taylor 0 re) (#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ())) ()) |
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log 10) (log im)) (taylor 0 re) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im))) (taylor 0 re) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) (taylor 0 re) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) (taylor 0 re) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (log im)) (taylor 0 re) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | im | @ | -inf | ((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) 4) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) (log 1/10) (* re re)) |
| 16.0ms | im | @ | inf | ((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) 4) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) (log 1/10) (* re re)) |
| 11.0ms | im | @ | 0 | ((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) 4) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) (log 1/10) (* re re)) |
| 8.0ms | re | @ | 0 | ((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) 4) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) (log 1/10) (* re re)) |
| 7.0ms | re | @ | -inf | ((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) 4) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) (log 1/10) (* re re)) |
| 1× | egg-herbie |
| 7 724× | lower-fma.f64 |
| 7 724× | lower-fma.f32 |
| 6 474× | lower-*.f64 |
| 6 474× | lower-*.f32 |
| 5 656× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1287 | 11636 |
| 1 | 3969 | 11222 |
| 0 | 8511 | 10710 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log im) (log 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(log im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) |
im |
(+ im (* 1/2 (/ (pow re 2) im))) |
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) |
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) |
(* -1 (/ (log im) (log 1/10))) |
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(* -1 (log im)) |
(- (* -1/2 (/ (pow re 2) (pow im 2))) (log im)) |
(- (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (log im)) |
(- (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))) (log im)) |
(log im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) |
(* 1/2 (/ (log (pow im 2)) (log 10))) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) |
(* 1/2 (log (pow im 2))) |
(+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) |
(log (pow im 2)) |
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2))) |
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) |
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) |
(pow im 2) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(/ (log im) (log 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(/ (log 10) (log im)) |
(+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im))) |
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) |
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) |
(/ 1 (log im)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im))) |
(+ (* (pow re 2) (- (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) |
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (+ (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2)))) (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) |
(/ -1 (log im)) |
(- (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im))) |
(- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) |
(- (* (pow re 2) (+ (* (pow re 2) (- (* (pow re 2) (- (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2))))) (* -1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) |
(/ (log im) (log 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(pow (/ (* 1 (log im)) (log 10)) 1/4) |
(+ (* 1/8 (* (pow (/ 1 (* (log 10) (pow (log im) 3))) 1/4) (/ (pow re 2) (pow im 2)))) (pow (/ (* 1 (log im)) (log 10)) 1/4)) |
(+ (* (pow re 2) (+ (* 1/8 (* (pow (/ 1 (* (log 10) (pow (log im) 3))) 1/4) (/ 1 (pow im 2)))) (* (pow (/ (* 1 (log im)) (log 10)) 1/4) (* (pow re 2) (+ (* -1/96 (+ (* 6 (/ 1 (* (pow im 4) (log im)))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2)))))) (* 1/128 (/ 1 (* (pow im 4) (pow (log im) 2))))))))) (pow (/ (* 1 (log im)) (log 10)) 1/4)) |
(+ (* (pow re 2) (+ (* 1/8 (* (pow (/ 1 (* (log 10) (pow (log im) 3))) 1/4) (/ 1 (pow im 2)))) (* (pow re 2) (+ (* (pow (/ (* 1 (log im)) (log 10)) 1/4) (* (pow re 2) (+ (* -1/768 (/ (+ (* 6 (/ 1 (* (pow im 4) (log im)))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2))))) (* (pow im 2) (log im)))) (+ (* 1/3072 (/ 1 (* (pow im 6) (pow (log im) 3)))) (* 1/2880 (+ (* 90 (/ 1 (* (pow im 6) (pow (log im) 2)))) (+ (* 120 (/ 1 (* (pow im 6) (log im)))) (* 30 (/ 1 (* (pow im 6) (pow (log im) 3))))))))))) (* (pow (/ (* 1 (log im)) (log 10)) 1/4) (+ (* -1/96 (+ (* 6 (/ 1 (* (pow im 4) (log im)))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2)))))) (* 1/128 (/ 1 (* (pow im 4) (pow (log im) 2)))))))))) (pow (/ (* 1 (log im)) (log 10)) 1/4)) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -1 (log (/ 1 re))) |
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
re |
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(/ (log (/ 1 re)) (log 1/10)) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))) |
(log (/ 1 re)) |
(- (* -1/2 (/ (pow im 2) (pow re 2))) (* -1 (log (/ 1 re)))) |
(- (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(- (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (log (/ 1 re))) |
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -1 (log (/ 1 re))) |
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -2 (log (/ 1 re))) |
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2))) |
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) |
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2))))) |
(pow re 2) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -1 (/ (log 10) (log (/ 1 re)))) |
(+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 10)) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2))))))) |
(/ -1 (log (/ 1 re))) |
(- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))) |
(- (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))) |
(- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))))) |
(/ 1 (log (/ 1 re))) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2)))) (pow re 4))) (/ 1 (log (/ 1 re)))) (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2))))) |
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow (log (/ 1 re)) 2))) (+ (* 1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))))) (log (/ 1 re)))))) (pow re 6))) (/ 1 (log (/ 1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2))))))) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4) |
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ 1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4)) |
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(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ 1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (+ (* (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4) (/ (+ (* -1/768 (/ (* (pow im 2) (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re)))))) (log (/ 1 re)))) (+ (* -1/3072 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (* 1/2880 (+ (* -30 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* -1 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log (/ 1 re)))) (* 90 (/ (pow im 6) (pow (log (/ 1 re)) 2)))))))) (pow re 6))) (+ (* (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/96 (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re))))))) (pow re 4))) (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4)))) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(* -1 (/ (log (/ -1 re)) (log 10))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -1 (log (/ -1 re))) |
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 re) |
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
(/ (log (/ -1 re)) (log 1/10)) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))) |
(log (/ -1 re)) |
(- (* -1/2 (/ (pow im 2) (pow re 2))) (* -1 (log (/ -1 re)))) |
(- (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(- (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (log (/ -1 re))) |
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (/ (log (/ -1 re)) (log 10))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -1 (log (/ -1 re))) |
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -2 (log (/ -1 re))) |
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2))) |
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) |
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2))))) |
(pow re 2) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* -1 (/ (log (/ -1 re)) (log 10))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -1 (/ (log 10) (log (/ -1 re)))) |
(+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 10)) (pow (log (/ -1 re)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ -1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))))) |
(/ -1 (log (/ -1 re))) |
(- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re)))) |
(- (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re))))) |
(- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re))))))) |
(/ 1 (log (/ -1 re))) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re)))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2)))) (pow re 4))) (/ 1 (log (/ -1 re)))) (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2))))) |
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow (log (/ -1 re)) 2))) (+ (* 1/8 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))))) (log (/ -1 re)))))) (pow re 6))) (/ 1 (log (/ -1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 2))))))) |
(* -1 (/ (log (/ -1 re)) (log 10))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4) |
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4)) |
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (+ (* (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/96 (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 6 (/ (pow im 4) (log (/ -1 re))))))) (pow re 4))) (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4))) |
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (+ (* (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4) (/ (+ (* -1/768 (/ (* (pow im 2) (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 6 (/ (pow im 4) (log (/ -1 re)))))) (log (/ -1 re)))) (+ (* -1/3072 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (* 1/2880 (+ (* -30 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (+ (* -1 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log (/ -1 re)))) (* 90 (/ (pow im 6) (pow (log (/ -1 re)) 2)))))))) (pow re 6))) (+ (* (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/96 (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 6 (/ (pow im 4) (log (/ -1 re))))))) (pow re 4))) (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4)))) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(/ (log re) (log 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(log re) |
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) |
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2)))))) |
re |
(+ re (* 1/2 (/ (pow im 2) re))) |
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) |
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re))))) |
(* -1 (/ (log re) (log 1/10))) |
(+ (* -1 (/ (log re) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10))))) |
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(* -1 (log re)) |
(- (* -1/2 (/ (pow im 2) (pow re 2))) (log re)) |
(- (* (pow im 2) (- (* 1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))) (log re)) |
(- (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))) (log re)) |
(log re) |
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) |
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2)))))) |
(log im) |
(log im) |
(log im) |
(log im) |
(* 1/2 (/ (log (pow re 2)) (log 10))) |
(+ (* 1/2 (/ (log (pow re 2)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* 1/2 (/ (log (pow re 2)) (log 10))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10))))))) |
(+ (* 1/2 (/ (log (pow re 2)) (log 10))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10))))))) |
(* 1/2 (log (pow re 2))) |
(+ (* 1/2 (log (pow re 2))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) |
(+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2)))))) |
(log (pow re 2)) |
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2))) |
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2))))) |
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2))))) |
(pow re 2) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(/ (log re) (log 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(/ (log 10) (log re)) |
(+ (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log re) 2)))) (/ (log 10) (log re))) |
(+ (* (pow im 2) (- (* -1 (* (pow im 2) (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ (log 10) (* (pow re 2) (pow (log re) 2)))))) (/ (log 10) (log re))) |
(+ (* (pow im 2) (- (* (pow im 2) (- (* -1 (* (pow im 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3))))) (* (pow re 2) (log re)))) (+ (* 1/8 (/ (log 10) (* (pow re 6) (pow (log re) 3)))) (* 1/6 (/ (log 10) (* (pow re 6) (pow (log re) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ (log 10) (* (pow re 2) (pow (log re) 2)))))) (/ (log 10) (log re))) |
(/ 1 (log re)) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log re) 2)))) (/ 1 (log re))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log re) 2)))))) (/ 1 (log re))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1 (* (pow im 2) (+ (* 1/8 (/ 1 (* (pow re 6) (pow (log re) 3)))) (+ (* 1/6 (/ 1 (* (pow re 6) (pow (log re) 2)))) (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3))))) (* (pow re 2) (log re)))))))) (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log re) 2)))))) (/ 1 (log re))) |
(/ -1 (log re)) |
(- (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log re) 2)))) (/ 1 (log re))) |
(- (* (pow im 2) (+ (* -1 (* (pow im 2) (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log re) 2)))))) (/ 1 (log re))) |
(- (* (pow im 2) (+ (* (pow im 2) (- (* (pow im 2) (- (+ (* 1/8 (/ 1 (* (pow re 6) (pow (log re) 3)))) (* 1/6 (/ 1 (* (pow re 6) (pow (log re) 2))))) (* -1/2 (/ (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3))))) (* (pow re 2) (log re)))))) (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log re) 2)))))) (/ 1 (log re))) |
(/ (log re) (log 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(pow (/ (* 1 (log re)) (log 10)) 1/4) |
(+ (* 1/8 (* (pow (/ 1 (* (log 10) (pow (log re) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (pow (/ (* 1 (log re)) (log 10)) 1/4)) |
(+ (* (pow im 2) (+ (* 1/8 (* (pow (/ 1 (* (log 10) (pow (log re) 3))) 1/4) (/ 1 (pow re 2)))) (* (pow (/ (* 1 (log re)) (log 10)) 1/4) (* (pow im 2) (+ (* -1/96 (+ (* 6 (/ 1 (* (pow re 4) (log re)))) (* 3 (/ 1 (* (pow re 4) (pow (log re) 2)))))) (* 1/128 (/ 1 (* (pow re 4) (pow (log re) 2))))))))) (pow (/ (* 1 (log re)) (log 10)) 1/4)) |
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im |
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(log (/ 1 im)) |
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(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
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(pow im 2) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
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(/ 1 (log (/ 1 im))) |
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(pow (/ (* -1 (log (/ 1 im))) (log 10)) 1/4) |
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(* -1 im) |
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
(/ (log (/ -1 im)) (log 1/10)) |
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(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))) |
(log (/ -1 im)) |
(- (* -1/2 (/ (pow re 2) (pow im 2))) (* -1 (log (/ -1 im)))) |
(- (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(- (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (log (/ -1 im))) |
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(+ (log -1) (* -1 (log (/ -1 im)))) |
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(* -1 (/ (log (/ -1 im)) (log 10))) |
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(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
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(* -1 (log (/ -1 im))) |
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(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -2 (log (/ -1 im))) |
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2))) |
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) |
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) |
(pow im 2) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
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(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
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(* -1 (/ (log 10) (log (/ -1 im)))) |
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(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))))) |
(/ -1 (log (/ -1 im))) |
(- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))) |
(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))) |
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))))) |
(/ 1 (log (/ -1 im))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2)))) (pow im 4))) (/ 1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))))) (log (/ -1 im)))))) (pow im 6))) (/ 1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2))))))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4) |
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 im)) 3))) 1/4) (/ (pow re 2) (pow im 2)))) (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4)) |
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 im)) 3))) 1/4) (/ (pow re 2) (pow im 2)))) (+ (* (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/96 (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))))) (pow im 4))) (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4))) |
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 im)) 3))) 1/4) (/ (pow re 2) (pow im 2)))) (+ (* (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4) (/ (+ (* -1/768 (/ (* (pow re 2) (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im)))))) (log (/ -1 im)))) (+ (* -1/3072 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2880 (+ (* -30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* -1 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log (/ -1 im)))) (* 90 (/ (pow re 6) (pow (log (/ -1 im)) 2)))))))) (pow im 6))) (+ (* (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/96 (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))))) (pow im 4))) (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4)))) |
| Outputs |
|---|
(/ (log im) (log 10)) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(log im) |
(log.f64 im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 im)) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)) |
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)) |
im |
(+ im (* 1/2 (/ (pow re 2) im))) |
(fma.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64) im) |
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) im) |
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) im) |
(* -1 (/ (log im) (log 1/10))) |
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) |
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 im im)))) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64))))) (*.f64 re re) (/.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 im im)))) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(* -1 (log im)) |
(neg.f64 (log.f64 im)) |
(- (* -1/2 (/ (pow re 2) (pow im 2))) (log im)) |
(-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 (*.f64 re re) im)) (log.f64 im)) |
(- (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (log im)) |
(-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 re re)) (log.f64 im)) |
(- (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))) (log im)) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 re re) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 re re)) (log.f64 im)) |
(log im) |
(log.f64 im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 im)) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)) |
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)) |
(* 1/2 (/ (log (pow im 2)) (log 10))) |
(*.f64 (/.f64 (log.f64 (*.f64 im im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 re (log.f64 #s(literal 10 binary64))) (/.f64 re (*.f64 im im)) (/.f64 (log.f64 (*.f64 im im)) (log.f64 #s(literal 10 binary64))))) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) |
(fma.f64 (/.f64 (log.f64 (*.f64 im im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64))))) (*.f64 re re))) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (*.f64 (/.f64 (log.f64 (*.f64 im im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))) |
(* 1/2 (log (pow im 2))) |
(*.f64 (log.f64 (*.f64 im im)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 re im) (/.f64 re im) (log.f64 (*.f64 im im)))) |
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (log.f64 (*.f64 im im)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re))) |
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (log.f64 (*.f64 im im)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re))) |
(log (pow im 2)) |
(log.f64 (*.f64 im im)) |
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2))) |
(fma.f64 (/.f64 re im) (/.f64 re im) (log.f64 (*.f64 im im))) |
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 (*.f64 im im))) |
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 (*.f64 im im))) |
(pow im 2) |
(*.f64 im im) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(/ (log im) (log 10)) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(/ (log 10) (log im)) |
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) |
(+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (*.f64 re re) im)) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) |
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 re re) (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (*.f64 im im))) #s(literal -1/2 binary64))) (*.f64 re re) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) |
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (*.f64 (*.f64 im im) (log.f64 im))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))))) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))) (*.f64 re re) (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (*.f64 im im))) #s(literal -1/2 binary64))) (*.f64 re re) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) |
(/ 1 (log im)) |
(/.f64 #s(literal 1 binary64) (log.f64 im)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 im))) |
(+ (* (pow re 2) (- (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) |
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(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))) |
(-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))) |
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))))) |
(-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 re re) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))))) |
(/ 1 (log (/ -1 im))) |
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2)))) (pow im 4))) (/ 1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))) |
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))))) (log (/ -1 im)))))) (pow im 6))) (/ 1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2))))))) |
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/720 binary64) (fma.f64 (*.f64 (*.f64 re re) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/4 binary64))))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(-.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) |
(pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4) |
(pow.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64)) |
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 im)) 3))) 1/4) (/ (pow re 2) (pow im 2)))) (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64))) |
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 im)) 3))) 1/4) (/ (pow re 2) (pow im 2)))) (+ (* (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/96 (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))))) (pow im 4))) (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) #s(literal 6 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) #s(literal 1/96 binary64) (/.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)))) |
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 im)) 3))) 1/4) (/ (pow re 2) (pow im 2)))) (+ (* (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4) (/ (+ (* -1/768 (/ (* (pow re 2) (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im)))))) (log (/ -1 im)))) (+ (* -1/3072 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2880 (+ (* -30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* -1 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log (/ -1 im)))) (* 90 (/ (pow re 6) (pow (log (/ -1 im)) 2)))))))) (pow im 6))) (+ (* (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/96 (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))))) (pow im 4))) (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 re re) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) #s(literal 6 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal -1/768 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal -30 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 90 binary64) (/.f64 (neg.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))) #s(literal 1/2880 binary64) (/.f64 (*.f64 #s(literal -1/3072 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) #s(literal 6 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) #s(literal 1/96 binary64) (/.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64)))) |
| 3 466× | lower-*.f32 |
| 3 458× | lower-*.f64 |
| 3 314× | lower-fma.f32 |
| 3 312× | lower-fma.f64 |
| 1 898× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 141 |
| 0 | 54 | 117 |
| 1 | 145 | 114 |
| 2 | 682 | 114 |
| 3 | 5315 | 114 |
| 0 | 8197 | 114 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
(log.f64 #s(literal 10 binary64)) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) |
(log.f64 (fma.f64 im im (*.f64 re re))) |
(fma.f64 im im (*.f64 re re)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) |
(log.f64 #s(literal 1/10 binary64)) |
(*.f64 re re) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (hypot.f64 im re))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/4 binary64))) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 10 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64)))) |
(*.f64 (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (exp.f64 (neg.f64 (log.f64 (log.f64 #s(literal 10 binary64)))))) |
(*.f64 (pow.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 10 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (*.f64 re re)))) |
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(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 im re)))) |
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(pow.f64 (*.f64 re re) #s(literal 1 binary64)) |
(pow.f64 re #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 re))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) |
Compiled 41 487 to 5 239 computations (87.4% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 843 | 7 | 1 850 |
| Fresh | 5 | 4 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 850 | 16 | 1 866 |
| Status | Accuracy | Program |
|---|---|---|
| 72.6% | (pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) | |
| ▶ | 72.7% | (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) |
| 98.5% | (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| 98.6% | (/.f64 (*.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) | |
| ✓ | 57.4% | (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
| 98.9% | (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) | |
| 98.6% | (/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| ✓ | 99.0% | (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
| ✓ | 98.6% | (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
| ✓ | 99.0% | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
| ✓ | 98.6% | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
| 98.6% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| ▶ | 98.6% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
| ▶ | 98.6% | (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
| ▶ | 99.0% | (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) |
| ▶ | 98.9% | #s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) |
Compiled 308 to 286 computations (7.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 #s(literal 1/10 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) | |
| cost-diff | 0 | (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) | |
| cost-diff | 0 | #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) | |
| cost-diff | 0 | (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (log.f64 im) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (log.f64 im)) | |
| cost-diff | 0 | #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))) | |
| cost-diff | 0 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| cost-diff | 0 | (log.f64 #s(literal 1/10 binary64)) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) | |
| cost-diff | 576 | (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| cost-diff | 0 | (log.f64 im) | |
| cost-diff | 0 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) | |
| cost-diff | 19648 | (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) |
| 5 154× | lower-*.f32 |
| 5 148× | lower-*.f64 |
| 2 444× | lower-neg.f32 |
| 2 440× | lower-neg.f64 |
| 1 742× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 341 |
| 0 | 74 | 341 |
| 1 | 114 | 341 |
| 2 | 206 | 341 |
| 3 | 460 | 327 |
| 4 | 1094 | 327 |
| 5 | 2613 | 327 |
| 6 | 4704 | 327 |
| 0 | 8096 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) |
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
#s(literal 3 binary64) |
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
#s(literal -1 binary64) |
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))) |
#s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) |
(/.f64 #s(literal 1 binary64) (log.f64 im)) |
(log.f64 im) |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) |
#s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) |
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(log.f64 im) |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) |
#s(literal -1/2 binary64) |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
(*.f64 (/.f64 re im) (/.f64 re im)) |
(/.f64 re im) |
re |
im |
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) |
(neg.f64 (log.f64 im)) |
(log.f64 im) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) |
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
#s(literal 3 binary64) |
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
#s(literal -1 binary64) |
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))) |
(*.f64 (log.f64 #s(literal 10 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) |
#s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) |
(/.f64 #s(literal 1 binary64) (log.f64 im)) |
(log.f64 im) |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) |
#s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) |
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(log.f64 im) |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) |
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (fma.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) im) im) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(fma.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) im) im) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) |
#s(literal -1/2 binary64) |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
(*.f64 (/.f64 re im) (/.f64 re im)) |
(*.f64 (/.f64 (/.f64 re im) im) re) |
(/.f64 re im) |
re |
im |
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) |
(neg.f64 (log.f64 im)) |
(log.f64 im) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.14291000976844204 | (*.f64 (/.f64 re im) (/.f64 re im)) | |
| accuracy | 0.48769384768442026 | (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) | |
| accuracy | 0.73828125 | (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) | |
| accuracy | 0.73828125 | (log.f64 #s(literal 1/10 binary64)) | |
| accuracy | 0.08984375 | (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) | |
| accuracy | 0.11610347502763135 | #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) | |
| accuracy | 0.328125 | (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) | |
| accuracy | 0.48769384768442026 | (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) | |
| accuracy | 0.11889713407797776 | #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1 binary64) (log.f64 im)) | |
| accuracy | 0.21875 | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) | |
| accuracy | 0.459980029305326 | (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))) | |
| accuracy | 0.119607813862084 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| accuracy | 0.21875 | (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| accuracy | 0.44177631837909415 | (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) | |
| accuracy | 0.73828125 | (log.f64 #s(literal 1/10 binary64)) | |
| accuracy | 0.401386279305326 | (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.73828125 | (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.73828125 | (log.f64 #s(literal 1/10 binary64)) | |
| accuracy | 1.170148096235541 | (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) |
| 86.0ms | 67× | 0 | invalid |
| 77.0ms | 189× | 0 | valid |
Compiled 278 to 44 computations (84.2% saved)
ival-pow: 72.0ms (51.1% of total)ival-div: 20.0ms (14.2% of total)ival-log: 19.0ms (13.5% of total)ival-hypot: 8.0ms (5.7% of total)ival-mult: 7.0ms (5% of total)ival-pow2: 5.0ms (3.5% of total)const: 4.0ms (2.8% of total)ival-neg: 3.0ms (2.1% of total)ival-sqrt: 2.0ms (1.4% of total)ival-add: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ()) |
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 1/10 binary64)) (patch (log.f64 #s(literal 1/10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))) (patch (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ()) |
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#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ()) |
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#s(alt #s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) (patch #s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) #<representation binary64>) () ()) |
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#s(alt (*.f64 (/.f64 re im) (/.f64 re im)) (patch (*.f64 (/.f64 re im) (/.f64 re im)) #<representation binary64>) () ()) |
| Outputs |
|---|
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 94.0ms | im | @ | 0 | ((* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (pow (log 1/10) 2)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ 1 (log im)) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/ -1/2 (log 1/10)) (pow (log 1/10) 3) (pow (log 1/10) 2) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (/ (neg (log im)) (log 1/10)) (* (/ re im) (/ re im))) |
| 48.0ms | re | @ | 0 | ((* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (pow (log 1/10) 2)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ 1 (log im)) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/ -1/2 (log 1/10)) (pow (log 1/10) 3) (pow (log 1/10) 2) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (/ (neg (log im)) (log 1/10)) (* (/ re im) (/ re im))) |
| 33.0ms | im | @ | inf | ((* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (pow (log 1/10) 2)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ 1 (log im)) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/ -1/2 (log 1/10)) (pow (log 1/10) 3) (pow (log 1/10) 2) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (/ (neg (log im)) (log 1/10)) (* (/ re im) (/ re im))) |
| 31.0ms | im | @ | -inf | ((* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (pow (log 1/10) 2)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ 1 (log im)) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/ -1/2 (log 1/10)) (pow (log 1/10) 3) (pow (log 1/10) 2) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (/ (neg (log im)) (log 1/10)) (* (/ re im) (/ re im))) |
| 7.0ms | re | @ | inf | ((* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (pow (log 1/10) 2)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ 1 (log im)) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/ -1/2 (log 1/10)) (pow (log 1/10) 3) (pow (log 1/10) 2) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (/ (neg (log im)) (log 1/10)) (* (/ re im) (/ re im))) |
| 1× | egg-herbie |
| 7 936× | lower-fma.f64 |
| 7 936× | lower-fma.f32 |
| 6 288× | lower-*.f64 |
| 6 288× | lower-*.f32 |
| 5 012× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1206 | 10808 |
| 1 | 3703 | 10428 |
| 0 | 8307 | 10068 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log im) (log 1/10))) |
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(log im) |
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(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
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(/ (pow re 2) (pow im 2)) |
(/ (pow re 2) (pow im 2)) |
(/ (pow re 2) (pow im 2)) |
(/ (pow re 2) (pow im 2)) |
(/ (log (/ 1 re)) (log 1/10)) |
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(/ (log (/ 1 re)) (pow (log 1/10) 3)) |
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(- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))) |
(- (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))) |
(- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))))) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
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(* (sqrt (/ (log (/ 1 re)) (log 10))) (sqrt -1)) |
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(/ (log (/ 1 re)) (log 1/10)) |
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(* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) |
(* (pow re 2) (- (* -1 (/ (log im) (* (pow re 2) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))) |
(* (pow re 2) (- (* -1 (/ (log im) (* (pow re 2) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))) |
(* (pow re 2) (- (* -1 (/ (log im) (* (pow re 2) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
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(/ (pow re 2) (pow im 2)) |
(/ (pow re 2) (pow im 2)) |
(/ (pow re 2) (pow im 2)) |
(/ (pow re 2) (pow im 2)) |
(/ (log (/ -1 re)) (log 1/10)) |
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(/ (log (/ -1 re)) (pow (log 1/10) 3)) |
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(/ (log (/ -1 re)) (log 1/10)) |
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(* -1 (/ (log 1/10) (log (/ -1 re)))) |
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(* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1)) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 im))))))) (* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ 1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 im)))))) (* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1)))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ 1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log 10))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ 1 im)) (pow (sqrt -1) 2))))))) (* (log (/ 1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 im)))))) (* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1))))) |
(* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1)) |
(* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1)) |
(* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1)) |
(* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1)) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
(/ (log (/ 1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))) |
(/ (log (/ 1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(/ (log (/ 1 im)) (log 1/10)) |
(/ (log (/ 1 im)) (log 1/10)) |
(/ (log (/ 1 im)) (log 1/10)) |
(/ (log (/ 1 im)) (log 1/10)) |
(/ (pow re 2) (pow im 2)) |
(/ (pow re 2) (pow im 2)) |
(/ (pow re 2) (pow im 2)) |
(/ (pow re 2) (pow im 2)) |
(/ (log (/ -1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))) |
(/ (log (/ -1 im)) (pow (log 1/10) 3)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log 1/10) 3)))) (/ (log (/ -1 im)) (pow (log 1/10) 3))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log 1/10) 3)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log 1/10) 3)))) (/ (log (/ -1 im)) (pow (log 1/10) 3)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log 1/10) 3)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log 1/10) 3)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log 1/10) 3)))) (/ (log (/ -1 im)) (pow (log 1/10) 3))))) |
(* -1 (log (/ -1 im))) |
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(/ (log (/ -1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))) |
(* -1 (/ (log 1/10) (log (/ -1 im)))) |
(+ (* -1 (/ (log 1/10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (log 1/10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (log 1/10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 1/10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 1/10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 1/10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))))) |
(* -1 (/ (log 10) (log (/ -1 im)))) |
(+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))))) |
(/ -1 (log (/ -1 im))) |
(- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))) |
(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))) |
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log 10))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2))))))) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))))) |
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))) |
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))) |
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))) |
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)) |
(/ (log (/ -1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) |
(+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) |
(/ (pow re 2) (pow im 2)) |
(/ (pow re 2) (pow im 2)) |
(/ (pow re 2) (pow im 2)) |
(/ (pow re 2) (pow im 2)) |
| Outputs |
|---|
(* -1 (/ (log im) (log 1/10))) |
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) |
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 1/10 binary64))))) (*.f64 re re) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(* -1 (/ (log im) (pow (log 1/10) 3))) |
(/.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) |
(+ (* -1 (/ (log im) (pow (log 1/10) 3))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log 1/10) 3))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) |
(+ (* -1 (/ (log im) (pow (log 1/10) 3))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (pow (log 1/10) 3)))) (* 1/2 (/ 1 (* (pow im 2) (pow (log 1/10) 3))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (*.f64 im im)))) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) |
(+ (* -1 (/ (log im) (pow (log 1/10) 3))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (pow (log 1/10) 3)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log 1/10) 3)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log 1/10) 3))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))))) (*.f64 re re) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (*.f64 im im)))) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) |
(log im) |
(log.f64 im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 im)) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)) |
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)) |
(* -1 (/ (log im) (log 1/10))) |
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) |
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 1/10 binary64))))) (*.f64 re re) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(/ (log 1/10) (log im)) |
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)) |
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(fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))) |
(-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))) |
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))))) |
(-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 re re) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) |
(* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 re (sqrt.f64 #s(literal -1 binary64))) (/.f64 re (*.f64 im im)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 re (sqrt.f64 #s(literal -1 binary64))) (/.f64 re (*.f64 im im)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log 10))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2))))))) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 re (sqrt.f64 #s(literal -1 binary64))) (/.f64 re (*.f64 im im)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal 1/720 binary64) (*.f64 (*.f64 (*.f64 re re) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 6 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) |
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))) |
(sqrt.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))) |
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))) |
(sqrt.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))) |
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))) |
(sqrt.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))) |
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))) |
(sqrt.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))) |
(/ (log (/ -1 im)) (log 1/10)) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64))))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))) |
(fma.f64 (/.f64 #s(literal -1/720 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64)))))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))) |
(+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))) |
(+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(/ (pow re 2) (pow im 2)) |
(*.f64 (/.f64 re im) (/.f64 re im)) |
(/ (pow re 2) (pow im 2)) |
(*.f64 (/.f64 re im) (/.f64 re im)) |
(/ (pow re 2) (pow im 2)) |
(*.f64 (/.f64 re im) (/.f64 re im)) |
(/ (pow re 2) (pow im 2)) |
(*.f64 (/.f64 re im) (/.f64 re im)) |
| 4 972× | lower-/.f32 |
| 4 954× | lower-/.f64 |
| 4 522× | lower-*.f32 |
| 4 516× | lower-*.f64 |
| 2 358× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 285 |
| 0 | 74 | 272 |
| 1 | 259 | 268 |
| 2 | 1529 | 259 |
| 0 | 8421 | 204 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
(log.f64 #s(literal 1/10 binary64)) |
(*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))) |
#s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) |
(/.f64 #s(literal 1 binary64) (log.f64 im)) |
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) |
#s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) |
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) |
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) |
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) |
(*.f64 (/.f64 re im) (/.f64 re im)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))) (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) |
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 10 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 1/10 binary64))) |
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))) |
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64)))) |
(*.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))) |
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) |
(*.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))))) |
(*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)))) |
(*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))))) |
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(/.f64 (neg.f64 (pow.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 (pow.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))) |
(neg.f64 (pow.f64 (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 #s(literal 10 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))))) |
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))))) |
(*.f64 (/.f64 (log.f64 im) #s(literal -1 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (log.f64 im)) |
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 im))) |
(*.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 im)) #s(literal 1 binary64))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (log.f64 im)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (log.f64 im)) #s(literal 1 binary64)) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(neg.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 re) #s(literal -1 binary64)) (/.f64 (/.f64 re im) im)) |
(*.f64 (/.f64 (/.f64 re im) #s(literal -1 binary64)) (/.f64 (neg.f64 re) im)) |
(*.f64 (/.f64 (pow.f64 im #s(literal -1 binary64)) im) (/.f64 re (pow.f64 re #s(literal -1 binary64)))) |
(*.f64 (exp.f64 (log.f64 (/.f64 re im))) (exp.f64 (log.f64 (/.f64 re im)))) |
(*.f64 (/.f64 (/.f64 re im) im) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 re) im) (/.f64 (pow.f64 (neg.f64 im) #s(literal -1 binary64)) (pow.f64 re #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 re) im) (/.f64 (neg.f64 re) im)) |
(*.f64 (/.f64 re (neg.f64 im)) (/.f64 re (neg.f64 im))) |
(*.f64 (pow.f64 im #s(literal -2 binary64)) (*.f64 re re)) |
(*.f64 (*.f64 (/.f64 re im) re) (pow.f64 im #s(literal -1 binary64))) |
(*.f64 (pow.f64 im #s(literal -1 binary64)) (/.f64 (/.f64 re im) (pow.f64 re #s(literal -1 binary64)))) |
(*.f64 (/.f64 re im) (/.f64 (pow.f64 im #s(literal -1 binary64)) (pow.f64 re #s(literal -1 binary64)))) |
(*.f64 (/.f64 re im) (/.f64 re im)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) |
(*.f64 (*.f64 re re) (pow.f64 (pow.f64 (neg.f64 im) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 re re) (pow.f64 im #s(literal -2 binary64))) |
(*.f64 re (/.f64 (/.f64 re im) im)) |
(*.f64 re (/.f64 re (*.f64 im im))) |
(*.f64 re (pow.f64 (*.f64 im (/.f64 im re)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 re im))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 im (*.f64 (/.f64 re im) re)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 im re) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (/.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 re im) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 re) (/.f64 re im))) (neg.f64 (neg.f64 im))) |
(/.f64 (neg.f64 (*.f64 (/.f64 re im) (neg.f64 re))) (neg.f64 (neg.f64 im))) |
(/.f64 (neg.f64 (*.f64 (/.f64 re im) #s(literal 1 binary64))) (neg.f64 (/.f64 im re))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 re im) re))) (neg.f64 (neg.f64 im))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 re re))) (neg.f64 (neg.f64 (*.f64 im im)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 re) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 im) (/.f64 im re)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 re) re)) (neg.f64 (*.f64 (neg.f64 im) im))) |
(/.f64 (neg.f64 (*.f64 re (neg.f64 re))) (neg.f64 (*.f64 im (neg.f64 im)))) |
(/.f64 (neg.f64 (*.f64 re #s(literal 1 binary64))) (neg.f64 (*.f64 im (/.f64 im re)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 re))) (neg.f64 (*.f64 (/.f64 im re) (neg.f64 im)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) re)) (neg.f64 (*.f64 (/.f64 im re) im))) |
(/.f64 (neg.f64 (/.f64 re im)) (neg.f64 (/.f64 im re))) |
(/.f64 (*.f64 (neg.f64 re) (/.f64 re im)) (neg.f64 im)) |
(/.f64 (*.f64 (/.f64 re im) (neg.f64 re)) (neg.f64 im)) |
(/.f64 (*.f64 (/.f64 re im) #s(literal 1 binary64)) (/.f64 im re)) |
(/.f64 (neg.f64 (*.f64 (/.f64 re im) re)) (neg.f64 im)) |
(/.f64 (neg.f64 (*.f64 re re)) (neg.f64 (*.f64 im im))) |
(/.f64 (*.f64 (neg.f64 re) #s(literal 1 binary64)) (*.f64 (neg.f64 im) (/.f64 im re))) |
(/.f64 (*.f64 (neg.f64 re) re) (*.f64 (neg.f64 im) im)) |
(/.f64 (*.f64 re (neg.f64 re)) (*.f64 im (neg.f64 im))) |
(/.f64 (*.f64 re #s(literal 1 binary64)) (*.f64 im (/.f64 im re))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 re)) (*.f64 (/.f64 im re) (neg.f64 im))) |
(/.f64 (*.f64 #s(literal 1 binary64) re) (*.f64 (/.f64 im re) im)) |
(/.f64 (*.f64 (/.f64 re im) re) im) |
(/.f64 (/.f64 re im) (/.f64 im re)) |
(/.f64 #s(literal 1 binary64) (/.f64 im (*.f64 (/.f64 re im) re))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 im re) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 im (*.f64 (/.f64 re im) re)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)))) |
(/.f64 (*.f64 re re) (*.f64 im im)) |
(exp.f64 (-.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 re im)) #s(literal 2 binary64))) |
Compiled 35 995 to 5 000 computations (86.1% saved)
19 alts after pruning (10 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 464 | 5 | 1 469 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 466 | 19 | 1 485 |
| Status | Accuracy | Program |
|---|---|---|
| 72.6% | (pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) | |
| 72.8% | (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) #s(literal 2 binary64)) | |
| ✓ | 72.7% | (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) |
| 98.5% | (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| ✓ | 57.4% | (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
| 98.9% | (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) | |
| 98.6% | (/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| ✓ | 99.0% | (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
| ✓ | 98.6% | (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
| ✓ | 99.0% | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
| ✓ | 98.6% | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
| 98.6% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| ✓ | 98.6% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
| ✓ | 98.6% | (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
| 98.5% | (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))) | |
| 99.1% | (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) | |
| ✓ | 98.9% | #s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) |
| 3.1% | #s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) | |
| 47.9% | #s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (*.f64 (-.f64 (/.f64 (/.f64 (log.f64 im) (*.f64 re re)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))) (*.f64 re re)))) |
Compiled 697 to 362 computations (48.1% saved)
| Inputs |
|---|
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))) |
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) |
#s(approx (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) |
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) |
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (*.f64 (-.f64 (/.f64 (/.f64 (log.f64 im) (*.f64 re re)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))) (*.f64 re re)))) |
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) |
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) |
(/.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))) |
(-.f64 (/.f64 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))) (log.f64 #s(literal 10 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) |
8 calls:
| 38.0ms | (*.f64 im im) |
| 37.0ms | im |
| 34.0ms | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 10.0ms | re |
| 10.0ms | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | re |
| 99.1% | 1 | im |
| 99.1% | 1 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 99.1% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 99.1% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 99.1% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 99.1% | 1 | (*.f64 re re) |
| 99.1% | 1 | (*.f64 im im) |
Compiled 44 to 38 computations (13.6% saved)
| Inputs |
|---|
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))) |
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) |
#s(approx (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) |
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) |
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (*.f64 (-.f64 (/.f64 (/.f64 (log.f64 im) (*.f64 re re)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))) (*.f64 re re)))) |
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) |
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
8 calls:
| 46.0ms | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 35.0ms | (*.f64 re re) |
| 8.0ms | re |
| 8.0ms | im |
| 7.0ms | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | re |
| 99.0% | 1 | (*.f64 re re) |
| 99.0% | 1 | im |
| 99.0% | 1 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 99.0% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 99.0% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 99.0% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 99.0% | 1 | (*.f64 im im) |
Compiled 44 to 38 computations (13.6% saved)
| Inputs |
|---|
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))) |
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) |
8 calls:
| 41.0ms | im |
| 41.0ms | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 38.0ms | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 5.0ms | re |
| 5.0ms | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | (*.f64 re re) |
| 99.0% | 1 | re |
| 99.0% | 1 | im |
| 99.0% | 1 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 99.0% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 99.0% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 99.0% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 99.0% | 1 | (*.f64 im im) |
Compiled 44 to 38 computations (13.6% saved)
| Inputs |
|---|
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))) |
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
8 calls:
| 100.0ms | re |
| 10.0ms | im |
| 5.0ms | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 4.0ms | (*.f64 im im) |
| 4.0ms | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | im |
| 99.0% | 1 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 99.0% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 99.0% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 99.0% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 99.0% | 1 | (*.f64 re re) |
| 99.0% | 1 | (*.f64 im im) |
| 99.0% | 1 | re |
Compiled 44 to 38 computations (13.6% saved)
| Inputs |
|---|
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
8 calls:
| 31.0ms | (*.f64 re re) |
| 4.0ms | re |
| 4.0ms | im |
| 4.0ms | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 4.0ms | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | re |
| 98.9% | 1 | (*.f64 re re) |
| 98.9% | 1 | im |
| 98.9% | 1 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 98.9% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 98.9% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 98.9% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 98.9% | 1 | (*.f64 im im) |
Compiled 44 to 38 computations (13.6% saved)
| Inputs |
|---|
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
8 calls:
| 36.0ms | im |
| 3.0ms | re |
| 3.0ms | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 3.0ms | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 3.0ms | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | im |
| 98.6% | 1 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 98.6% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 98.6% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 98.6% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 98.6% | 1 | (*.f64 re re) |
| 98.6% | 1 | (*.f64 im im) |
| 98.6% | 1 | re |
Compiled 44 to 38 computations (13.6% saved)
| Inputs |
|---|
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
8 calls:
| 2.0ms | re |
| 2.0ms | im |
| 2.0ms | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 2.0ms | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 2.0ms | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | re |
| 98.6% | 1 | im |
| 98.6% | 1 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 98.6% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 98.6% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 98.6% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 98.6% | 1 | (*.f64 re re) |
| 98.6% | 1 | (*.f64 im im) |
Compiled 44 to 38 computations (13.6% saved)
| Inputs |
|---|
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
8 calls:
| 2.0ms | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 2.0ms | im |
| 2.0ms | re |
| 2.0ms | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 2.0ms | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | re |
| 98.6% | 1 | im |
| 98.6% | 1 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 98.6% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 98.6% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 98.6% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 98.6% | 1 | (*.f64 re re) |
| 98.6% | 1 | (*.f64 im im) |
Compiled 44 to 38 computations (13.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) |
| Outputs |
|---|
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) |
8 calls:
| 1.0ms | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 1.0ms | im |
| 1.0ms | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 1.0ms | re |
| 1.0ms | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.1% | 1 | re |
| 3.1% | 1 | im |
| 3.1% | 1 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 3.1% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 3.1% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 3.1% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 3.1% | 1 | (*.f64 re re) |
| 3.1% | 1 | (*.f64 im im) |
Compiled 44 to 38 computations (13.6% saved)
| 1× | egg-herbie |
| 34× | *-commutative-binary64-*.f64 |
| 18× | neg-sub0-binary64--.f64-neg.f64 |
| 18× | neg-mul-1-binary64-*.f64-neg.f64 |
| 16× | +-commutative-binary64-+.f64 |
| 16× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 169 |
| 1 | 83 | 169 |
| 2 | 103 | 169 |
| 3 | 124 | 169 |
| 4 | 134 | 169 |
| 5 | 139 | 169 |
| 6 | 140 | 169 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) |
| Outputs |
|---|
(*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64)))) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 #s(literal -2 binary64)) (log.f64 im))))) (log.f64 #s(literal 10 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) |
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) |
| 14 804× | lower-fma.f64 |
| 14 804× | lower-fma.f32 |
| 7 936× | lower-fma.f64 |
| 7 936× | lower-fma.f32 |
| 7 724× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1287 | 11636 |
| 1 | 3969 | 11222 |
| 0 | 8511 | 10710 |
| 0 | 51 | 285 |
| 0 | 74 | 272 |
| 1 | 259 | 268 |
| 2 | 1529 | 259 |
| 0 | 8421 | 204 |
| 0 | 1206 | 10808 |
| 1 | 3703 | 10428 |
| 0 | 8307 | 10068 |
| 0 | 10 | 41 |
| 0 | 17 | 41 |
| 1 | 44 | 41 |
| 2 | 251 | 41 |
| 3 | 2046 | 41 |
| 0 | 8387 | 25 |
| 0 | 32 | 129 |
| 0 | 51 | 96 |
| 1 | 144 | 96 |
| 2 | 653 | 96 |
| 3 | 5790 | 96 |
| 0 | 8401 | 95 |
| 0 | 268 | 1676 |
| 1 | 730 | 1632 |
| 2 | 2203 | 1630 |
| 3 | 5799 | 1618 |
| 0 | 8392 | 1506 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 322 to 215 computations (33.2% saved)
Compiled 546 to 428 computations (21.6% saved)
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