
Time bar (total: 5.2s)
| 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% | 49.9% | 0.1% | 0% | 49.9% | 0% | 4 |
| 0% | 0% | 49.9% | 0.1% | 0% | 49.9% | 0% | 5 |
| 0% | 0% | 49.9% | 0.1% | 0% | 49.9% | 0% | 6 |
| 9.4% | 4.7% | 45.2% | 0.1% | 0% | 49.9% | 0% | 7 |
| 17.2% | 8.6% | 41.3% | 0.1% | 0% | 49.9% | 0% | 8 |
| 27.3% | 13.7% | 36.3% | 0.1% | 0% | 49.9% | 0% | 9 |
| 41% | 20.5% | 29.4% | 0.1% | 0% | 49.9% | 0% | 10 |
| 48.6% | 24.3% | 25.6% | 0.1% | 0% | 49.9% | 0% | 11 |
| 57.1% | 28.5% | 21.4% | 0.1% | 0% | 49.9% | 0% | 12 |
Compiled 30 to 17 computations (43.3% saved)
| 2.0s | 8 256× | 0 | valid |
ival-hypot: 829.0ms (53.1% of total)ival-log: 232.0ms (14.8% of total)ival-mult!: 139.0ms (8.9% of total)ival-atan2: 118.0ms (7.6% of total)ival-add!: 115.0ms (7.4% of total)ival-sub!: 73.0ms (4.7% of total)ival-div!: 56.0ms (3.6% of total)adjust: 2.0ms (0.1% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 141 |
| 1 | 283 | 121 |
| 2 | 1210 | 86 |
| 3 | 7179 | 86 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.6% | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
Compiled 56 to 36 computations (35.7% saved)
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) |
(*.f64 (atan2.f64 im re) (log.f64 base)) |
(atan2.f64 im re) |
im |
re |
(log.f64 base) |
base |
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 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) |
(*.f64 im im) |
#s(literal 0 binary64) |
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (log.f64 base) (log.f64 base)) |
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base)))) |
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re)))) |
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re))) |
#s(approx re #s(hole binary64 re)) |
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0)) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow im 2))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* 1/2 (/ (pow re 2) (pow (sqrt (pow im 2)) 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2)))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow (sqrt (pow im 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow im 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow im 2)))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* 1/2 (/ (pow re 2) (sqrt (pow im 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow (sqrt (pow im 2)) 3))) (* 1/2 (/ 1 (sqrt (pow im 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow (sqrt (pow im 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow im 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow im 2))))))))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2)))) |
#s(approx (* re re) #s(hole binary64 (pow re 2))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* 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))))))))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -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)))))))))) |
#s(approx im #s(hole binary64 im)) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow re 2))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* 1/2 (/ (pow im 2) (pow (sqrt (pow re 2)) 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2)))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow (sqrt (pow re 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow re 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow re 2)))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* 1/2 (/ (pow im 2) (sqrt (pow re 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow (sqrt (pow re 2)) 3))) (* 1/2 (/ 1 (sqrt (pow re 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow (sqrt (pow re 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow re 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow re 2))))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* 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))))))))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole 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)))))))))) |
#s(approx (log base) #s(hole binary64 (log base))) |
#s(approx base #s(hole binary64 base)) |
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2))) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base)))))) |
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re))))) |
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base))))) |
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | re | @ | 0 | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0)) |
| 33.0ms | base | @ | 0 | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0)) |
| 10.0ms | base | @ | -inf | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0)) |
| 9.0ms | im | @ | -inf | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0)) |
| 9.0ms | re | @ | -inf | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 305 | 1877 |
| 0 | 326 | 1672 |
| 1 | 1608 | 1582 |
| 0 | 8446 | 1280 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) |
(*.f64 (atan2.f64 im re) (log.f64 base)) |
(atan2.f64 im re) |
im |
re |
(log.f64 base) |
base |
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 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) |
(*.f64 im im) |
#s(literal 0 binary64) |
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (log.f64 base) (log.f64 base)) |
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base)))) |
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re)))) |
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re))) |
#s(approx re #s(hole binary64 re)) |
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0)) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow im 2))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* 1/2 (/ (pow re 2) (pow (sqrt (pow im 2)) 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2)))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow (sqrt (pow im 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow im 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow im 2)))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* 1/2 (/ (pow re 2) (sqrt (pow im 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow (sqrt (pow im 2)) 3))) (* 1/2 (/ 1 (sqrt (pow im 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow (sqrt (pow im 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow im 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow im 2))))))))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2)))) |
#s(approx (* re re) #s(hole binary64 (pow re 2))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* 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))))))))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -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)))))))))) |
#s(approx im #s(hole binary64 im)) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow re 2))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* 1/2 (/ (pow im 2) (pow (sqrt (pow re 2)) 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2)))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow (sqrt (pow re 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow re 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow re 2)))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* 1/2 (/ (pow im 2) (sqrt (pow re 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow (sqrt (pow re 2)) 3))) (* 1/2 (/ 1 (sqrt (pow re 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow (sqrt (pow re 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow re 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow re 2))))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* 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))))))))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole 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)))))))))) |
#s(approx (log base) #s(hole binary64 (log base))) |
#s(approx base #s(hole binary64 base)) |
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2))) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base)))))) |
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re))))) |
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base))))) |
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))) |
(fma.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(fma.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(-.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))) |
(+.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) |
(fma.f64 (log.f64 base) (atan2.f64 im re) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) |
(fma.f64 (atan2.f64 im re) (log.f64 base) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))))) |
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) |
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) |
(log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) |
(*.f64 (log.f64 base) (atan2.f64 im re)) |
(*.f64 (atan2.f64 im re) (log.f64 base)) |
(log.f64 (pow.f64 base (atan2.f64 im re))) |
(atan2.f64 im re) |
im |
re |
(pow.f64 (log.f64 base) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) |
(log.f64 base) |
base |
#s(literal 0 binary64) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) |
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) |
(pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im)))) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re)))) (sqrt.f64 (-.f64 (*.f64 im im) (*.f64 re re)))) |
(/.f64 (hypot.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 im im) im)) (sqrt.f64 (fma.f64 (*.f64 re re) (*.f64 re re) (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 im im)))))) |
(/.f64 (hypot.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 re re) re)) (sqrt.f64 (fma.f64 (*.f64 im im) (*.f64 im im) (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 re re)))))) |
(sqrt.f64 (fma.f64 re re (*.f64 im im))) |
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 re))) |
(hypot.f64 (neg.f64 (neg.f64 im)) (exp.f64 (log.f64 (fabs.f64 re)))) |
(hypot.f64 (neg.f64 (neg.f64 im)) (pow.f64 (neg.f64 re) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (fabs.f64 re))) |
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 re)) |
(hypot.f64 (neg.f64 (neg.f64 im)) (fabs.f64 re)) |
(hypot.f64 (neg.f64 (neg.f64 im)) re) |
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 im))) |
(hypot.f64 (neg.f64 (neg.f64 re)) (exp.f64 (log.f64 (fabs.f64 im)))) |
(hypot.f64 (neg.f64 (neg.f64 re)) (pow.f64 (neg.f64 im) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (fabs.f64 im))) |
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 im)) |
(hypot.f64 (neg.f64 (neg.f64 re)) (fabs.f64 im)) |
(hypot.f64 (neg.f64 (neg.f64 re)) im) |
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (neg.f64 (neg.f64 re))) |
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (exp.f64 (log.f64 (fabs.f64 re)))) |
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (pow.f64 (neg.f64 re) #s(literal 1 binary64))) |
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 re))) |
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (neg.f64 re)) |
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (fabs.f64 re)) |
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) re) |
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (neg.f64 (neg.f64 im))) |
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (exp.f64 (log.f64 (fabs.f64 im)))) |
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (pow.f64 (neg.f64 im) #s(literal 1 binary64))) |
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (neg.f64 (fabs.f64 im))) |
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (neg.f64 im)) |
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (fabs.f64 im)) |
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) im) |
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 (neg.f64 re))) |
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (exp.f64 (log.f64 (fabs.f64 re)))) |
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 (fabs.f64 re))) |
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 re)) |
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (fabs.f64 re)) |
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) re) |
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 (neg.f64 im))) |
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (exp.f64 (log.f64 (fabs.f64 im)))) |
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 (fabs.f64 im))) |
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 im)) |
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (fabs.f64 im)) |
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) im) |
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (neg.f64 re))) |
(hypot.f64 (neg.f64 (fabs.f64 im)) (exp.f64 (log.f64 (fabs.f64 re)))) |
(hypot.f64 (neg.f64 (fabs.f64 im)) (pow.f64 (neg.f64 re) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 re))) |
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 re)) |
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 re)) |
(hypot.f64 (neg.f64 (fabs.f64 im)) re) |
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (neg.f64 im))) |
(hypot.f64 (neg.f64 (fabs.f64 re)) (exp.f64 (log.f64 (fabs.f64 im)))) |
(hypot.f64 (neg.f64 (fabs.f64 re)) (pow.f64 (neg.f64 im) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 im))) |
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 im)) |
(hypot.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 im)) |
(hypot.f64 (neg.f64 (fabs.f64 re)) im) |
(hypot.f64 (neg.f64 re) (neg.f64 (neg.f64 im))) |
(hypot.f64 (neg.f64 re) (exp.f64 (log.f64 (fabs.f64 im)))) |
(hypot.f64 (neg.f64 re) (pow.f64 (neg.f64 im) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 re) (neg.f64 (fabs.f64 im))) |
(hypot.f64 (neg.f64 re) (neg.f64 im)) |
(hypot.f64 (neg.f64 re) (fabs.f64 im)) |
(hypot.f64 (neg.f64 re) im) |
(hypot.f64 (neg.f64 im) (neg.f64 (neg.f64 re))) |
(hypot.f64 (neg.f64 im) (exp.f64 (log.f64 (fabs.f64 re)))) |
(hypot.f64 (neg.f64 im) (pow.f64 (neg.f64 re) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 im) (neg.f64 (fabs.f64 re))) |
(hypot.f64 (neg.f64 im) (neg.f64 re)) |
(hypot.f64 (neg.f64 im) (fabs.f64 re)) |
(hypot.f64 (neg.f64 im) re) |
(hypot.f64 (fabs.f64 re) (neg.f64 (neg.f64 im))) |
(hypot.f64 (fabs.f64 re) (exp.f64 (log.f64 (fabs.f64 im)))) |
(hypot.f64 (fabs.f64 re) (pow.f64 (neg.f64 im) #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 re) (neg.f64 (fabs.f64 im))) |
(hypot.f64 (fabs.f64 re) (neg.f64 im)) |
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#s(literal 0 binary64) |
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(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) |
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) base) (neg.f64 (log.f64 base)))) |
(log.f64 (*.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64))) |
(log.f64 (*.f64 #s(literal 1 binary64) (pow.f64 base (log.f64 base)))) |
(log.f64 (pow.f64 base (log.f64 base))) |
#s(literal 0 binary64) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base))) |
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) |
#s(approx (atan2 im re) (atan2.f64 im re)) |
#s(approx re re) |
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (fabs.f64 im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (log.f64 (fabs.f64 im)))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 (fabs.f64 im)))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 re re) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 (fabs.f64 im)))) |
#s(approx (sqrt (+ (* re re) (* im im))) (fabs.f64 im)) |
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (/.f64 (*.f64 re re) (fabs.f64 im)) #s(literal 1/2 binary64) (fabs.f64 im))) |
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (*.f64 re re) (fma.f64 (/.f64 (*.f64 re re) (*.f64 (fabs.f64 im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 im))) (fabs.f64 im))) |
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 re re)) (pow.f64 (fabs.f64 im) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (fabs.f64 im) (*.f64 im im)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (fabs.f64 im))) (*.f64 re re) (fabs.f64 im))) |
#s(approx (+ (* re re) (* im im)) (*.f64 im im)) |
#s(approx (+ (* re re) (* im im)) (fma.f64 re re (*.f64 im im))) |
#s(approx (* re re) (*.f64 re re)) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re)) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (log.f64 re))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))) (log.f64 re))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) (log.f64 re))) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))) #s(literal 1 binary64)) re)) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) #s(literal 1 binary64)) re)) |
#s(approx (+ (* re re) (* im im)) (*.f64 (fma.f64 (/.f64 im re) (/.f64 im re) #s(literal 1 binary64)) (*.f64 re re))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 re))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 re)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 re)))) (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 re)))) (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))))) |
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) #s(literal 1 binary64)))) |
#s(approx im im) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (fabs.f64 re))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (log.f64 (fabs.f64 re)))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 im im) (log.f64 (fabs.f64 re)))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 im im) (log.f64 (fabs.f64 re)))) |
#s(approx (sqrt (+ (* re re) (* im im))) (fabs.f64 re)) |
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (/.f64 (*.f64 im im) (fabs.f64 re)) #s(literal 1/2 binary64) (fabs.f64 re))) |
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (*.f64 im im) (fma.f64 (/.f64 (*.f64 im im) (*.f64 (fabs.f64 re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 re))) (fabs.f64 re))) |
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 im im)) (pow.f64 (fabs.f64 re) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (fabs.f64 re) (*.f64 re re)))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (fabs.f64 re))) (*.f64 im im) (fabs.f64 re))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (log.f64 im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) (log.f64 im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) (log.f64 im))) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) im)) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) #s(literal 1 binary64)) im)) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) #s(literal 1 binary64)) im)) |
#s(approx (+ (* re re) (* im im)) (*.f64 (fma.f64 (/.f64 re im) (/.f64 re im) #s(literal 1 binary64)) (*.f64 im im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 im))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))))) |
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) #s(literal 1 binary64)))) |
#s(approx (log base) (log.f64 base)) |
#s(approx base base) |
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (log.f64 base) (log.f64 base))) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))) |
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))) |
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base)))) |
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (log.f64 base) (log.f64 base))) |
Compiled 10 743 to 1 768 computations (83.5% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 300 | 12 | 312 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 301 | 12 | 313 |
| Status | Accuracy | Program |
|---|---|---|
| 82.9% | (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| 82.8% | (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))))) | |
| ▶ | 31.1% | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) |
| 54.6% | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) | |
| 30.4% | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))))) | |
| ▶ | 6.4% | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base)))) |
| 22.5% | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))) | |
| ▶ | 31.2% | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
| 99.1% | (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| ▶ | 99.2% | (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))) |
| 46.6% | (/.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| ▶ | 99.5% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base))) |
Compiled 788 to 446 computations (43.4% saved)
| Inputs |
|---|
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base))) |
(/.f64 (atan2.f64 im re) (log.f64 base)) |
(atan2.f64 im re) |
im |
re |
(log.f64 base) |
base |
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))) |
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) |
(*.f64 (log.f64 base) (atan2.f64 im re)) |
#s(literal 0 binary64) |
(*.f64 (log.f64 base) (log.f64 base)) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) |
(*.f64 (atan2.f64 im re) (log.f64 base)) |
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 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) |
(*.f64 im im) |
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) |
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) |
(log.f64 (log.f64 base)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base)))) |
(log.f64 (pow.f64 base (log.f64 base))) |
(pow.f64 base (log.f64 base)) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) |
(exp.f64 (log.f64 (log.f64 base))) |
| Outputs |
|---|
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base)))) |
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re))) |
#s(approx re #s(hole binary64 re)) |
#s(approx (- (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (log base) (atan2 im re)))) |
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0)) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow im 2))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* 1/2 (/ (pow re 2) (pow (sqrt (pow im 2)) 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2)))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow (sqrt (pow im 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow im 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow im 2)))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* 1/2 (/ (pow re 2) (sqrt (pow im 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow (sqrt (pow im 2)) 3))) (* 1/2 (/ 1 (sqrt (pow im 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow (sqrt (pow im 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow im 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow im 2))))))))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2)))) |
#s(approx (* re re) #s(hole binary64 (pow re 2))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* 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))))))))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -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)))))))))) |
#s(approx im #s(hole binary64 im)) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow re 2))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* 1/2 (/ (pow im 2) (pow (sqrt (pow re 2)) 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2)))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow (sqrt (pow re 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow re 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow re 2)))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* 1/2 (/ (pow im 2) (sqrt (pow re 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow (sqrt (pow re 2)) 3))) (* 1/2 (/ 1 (sqrt (pow re 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow (sqrt (pow re 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow re 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow re 2))))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* 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))))))))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole 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)))))))))) |
#s(approx (log base) #s(hole binary64 (log base))) |
#s(approx base #s(hole binary64 base)) |
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2))) |
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (log base))))) |
#s(approx (log (log base)) #s(hole binary64 (log (log base)))) |
#s(approx (pow base (log base)) #s(hole binary64 (exp (pow (log base) 2)))) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base)))))) |
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base))))) |
#s(approx (- (* (log base) (atan2 im re)) 0) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re))))) |
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2))) |
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (* -1 (log (/ 1 base))))))) |
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base)))))) |
#s(approx (pow base (log base)) #s(hole binary64 (exp (pow (log (/ 1 base)) 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | base | @ | 0 | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (log base)) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (log (pow base (log base)))) (log (pow base (log base))) (pow base (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp (log (log base))) 2)) (pow (exp (log (log base))) 2) (exp (log (log base)))) |
| 38.0ms | base | @ | -inf | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (log base)) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (log (pow base (log base)))) (log (pow base (log base))) (pow base (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp (log (log base))) 2)) (pow (exp (log (log base))) 2) (exp (log (log base)))) |
| 32.0ms | re | @ | -inf | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (log base)) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (log (pow base (log base)))) (log (pow base (log base))) (pow base (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp (log (log base))) 2)) (pow (exp (log (log base))) 2) (exp (log (log base)))) |
| 32.0ms | base | @ | inf | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (log base)) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (log (pow base (log base)))) (log (pow base (log base))) (pow base (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp (log (log base))) 2)) (pow (exp (log (log base))) 2) (exp (log (log base)))) |
| 26.0ms | re | @ | 0 | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (log base)) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (log (pow base (log base)))) (log (pow base (log base))) (pow base (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp (log (log base))) 2)) (pow (exp (log (log base))) 2) (exp (log (log base)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 332 | 2060 |
| 0 | 381 | 1807 |
| 1 | 1717 | 1717 |
| 0 | 8694 | 1415 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base))) |
(/.f64 (atan2.f64 im re) (log.f64 base)) |
(atan2.f64 im re) |
im |
re |
(log.f64 base) |
base |
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))) |
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) |
(*.f64 (log.f64 base) (atan2.f64 im re)) |
#s(literal 0 binary64) |
(*.f64 (log.f64 base) (log.f64 base)) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) |
(*.f64 (atan2.f64 im re) (log.f64 base)) |
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 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) |
(*.f64 im im) |
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) |
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) |
(log.f64 (log.f64 base)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base)))) |
(log.f64 (pow.f64 base (log.f64 base))) |
(pow.f64 base (log.f64 base)) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) |
(exp.f64 (log.f64 (log.f64 base))) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base)))) |
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re))) |
#s(approx re #s(hole binary64 re)) |
#s(approx (- (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (log base) (atan2 im re)))) |
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0)) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow im 2))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* 1/2 (/ (pow re 2) (pow (sqrt (pow im 2)) 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2)))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow (sqrt (pow im 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow im 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow im 2)))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* 1/2 (/ (pow re 2) (sqrt (pow im 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow (sqrt (pow im 2)) 3))) (* 1/2 (/ 1 (sqrt (pow im 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow (sqrt (pow im 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow im 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow im 2))))))))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2)))) |
#s(approx (* re re) #s(hole binary64 (pow re 2))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* 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))))))))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -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)))))))))) |
#s(approx im #s(hole binary64 im)) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow re 2))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* 1/2 (/ (pow im 2) (pow (sqrt (pow re 2)) 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2)))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow (sqrt (pow re 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow re 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow re 2)))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* 1/2 (/ (pow im 2) (sqrt (pow re 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow (sqrt (pow re 2)) 3))) (* 1/2 (/ 1 (sqrt (pow re 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow (sqrt (pow re 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow re 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow re 2))))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* 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))))))))) |
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))) |
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole 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)))))))))) |
#s(approx (log base) #s(hole binary64 (log base))) |
#s(approx base #s(hole binary64 base)) |
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2))) |
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (log base))))) |
#s(approx (log (log base)) #s(hole binary64 (log (log base)))) |
#s(approx (pow base (log base)) #s(hole binary64 (exp (pow (log base) 2)))) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base)))))) |
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base))))) |
#s(approx (- (* (log base) (atan2 im re)) 0) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re))))) |
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2))) |
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (* -1 (log (/ 1 base))))))) |
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base)))))) |
#s(approx (pow base (log base)) #s(hole binary64 (exp (pow (log (/ 1 base)) 2)))) |
| Outputs |
|---|
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base))) |
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base)))) |
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base))) |
(/.f64 (atan2.f64 im re) (log.f64 base)) |
(atan2.f64 im re) |
im |
re |
(pow.f64 (log.f64 base) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (log.f64 base))) (cosh.f64 (log.f64 (log.f64 base))) (-.f64 (*.f64 (sinh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (log.f64 base))) |
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) |
(log.f64 base) |
base |
(*.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))) |
(*.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base)))) |
(*.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) |
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) |
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base)))) |
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) #s(literal 0 binary64))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))) (neg.f64 (log.f64 base))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) (neg.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))) |
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) |
(/.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) |
(fma.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(fma.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(-.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))) |
(+.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(*.f64 (log.f64 base) (atan2.f64 im re)) |
(*.f64 (atan2.f64 im re) (log.f64 base)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) |
(fma.f64 (log.f64 base) (atan2.f64 im re) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) |
(fma.f64 (atan2.f64 im re) (log.f64 base) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))))) |
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) |
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) |
(log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) |
(log.f64 (pow.f64 base (atan2.f64 im re))) |
(*.f64 (log.f64 base) (atan2.f64 im re)) |
(*.f64 (atan2.f64 im re) (log.f64 base)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)))) |
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#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) (log.f64 re))) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))) #s(literal 1 binary64)) re)) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) #s(literal 1 binary64)) re)) |
#s(approx (+ (* re re) (* im im)) (*.f64 (fma.f64 (/.f64 im re) (/.f64 im re) #s(literal 1 binary64)) (*.f64 re re))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 re))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 re)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 re)))) (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 re)))) (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))))) |
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) #s(literal 1 binary64)))) |
#s(approx im im) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (fabs.f64 re))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (log.f64 (fabs.f64 re)))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 im im) (log.f64 (fabs.f64 re)))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 im im) (log.f64 (fabs.f64 re)))) |
#s(approx (sqrt (+ (* re re) (* im im))) (fabs.f64 re)) |
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (/.f64 (*.f64 im im) (fabs.f64 re)) #s(literal 1/2 binary64) (fabs.f64 re))) |
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (*.f64 im im) (fma.f64 (/.f64 (*.f64 im im) (*.f64 (fabs.f64 re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 re))) (fabs.f64 re))) |
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 im im)) (pow.f64 (fabs.f64 re) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (fabs.f64 re) (*.f64 re re)))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (fabs.f64 re))) (*.f64 im im) (fabs.f64 re))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (log.f64 im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) (log.f64 im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) (log.f64 im))) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) im)) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) #s(literal 1 binary64)) im)) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) #s(literal 1 binary64)) im)) |
#s(approx (+ (* re re) (* im im)) (*.f64 (fma.f64 (/.f64 re im) (/.f64 re im) #s(literal 1 binary64)) (*.f64 im im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 im))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))))) |
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) #s(literal 1 binary64)))) |
#s(approx (log base) (log.f64 base)) |
#s(approx base base) |
#s(approx (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base))) |
#s(approx (* (log (log base)) 2) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) |
#s(approx (log (log base)) (log.f64 (log.f64 base))) |
#s(approx (pow base (log base)) (pow.f64 base (log.f64 base))) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))) |
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base)))) |
#s(approx (- (* (log base) (atan2 im re)) 0) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))) |
#s(approx (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base))) |
#s(approx (* (log (log base)) 2) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) |
#s(approx (log (log base)) (log.f64 (neg.f64 (neg.f64 (log.f64 base))))) |
#s(approx (pow base (log base)) (pow.f64 base (log.f64 base))) |
Compiled 27 496 to 2 561 computations (90.7% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 855 | 15 | 870 |
| Fresh | 4 | 3 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 863 | 19 | 882 |
| Status | Accuracy | Program |
|---|---|---|
| 82.9% | (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (*.f64 (log.f64 base) (log.f64 base))) | |
| ▶ | 99.4% | (/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) |
| 82.8% | (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))))) | |
| 22.5% | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))) | |
| 12.9% | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base)))) | |
| 51.3% | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) | |
| 99.3% | (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) #s(literal 0 binary64))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))) | |
| 99.1% | (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| ▶ | 99.1% | (/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) |
| 51.3% | (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))) | |
| ▶ | 99.1% | (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) |
| 50.0% | (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))))) | |
| 99.2% | (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) | |
| ▶ | 46.6% | (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) |
| 51.8% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (log.f64 base))) (cosh.f64 (log.f64 (log.f64 base))) (-.f64 (*.f64 (sinh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))))))) | |
| 99.3% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))))) | |
| 51.8% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))) | |
| ✓ | 99.5% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base))) |
| ▶ | 51.8% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))) |
Compiled 1 215 to 672 computations (44.7% saved)
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) |
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) |
(*.f64 (log.f64 base) (atan2.f64 im re)) |
(log.f64 base) |
base |
(atan2.f64 im re) |
im |
re |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))) |
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base)))) |
(exp.f64 (log.f64 (log.f64 base))) |
(log.f64 (log.f64 base)) |
(/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) |
(log.f64 (pow.f64 base (atan2.f64 im re))) |
(pow.f64 base (atan2.f64 im re)) |
(*.f64 (log.f64 base) (log.f64 base)) |
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) |
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) |
(-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) |
(-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))) |
(*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) |
(neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) |
(*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) |
(neg.f64 (*.f64 (log.f64 base) (log.f64 base))) |
(*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))) |
| Outputs |
|---|
#s(approx (/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) #s(hole binary64 (/ (atan2 im re) (log base)))) |
#s(approx (/ (* (log base) (atan2 im re)) (log base)) #s(hole binary64 (atan2 im re))) |
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re)))) |
#s(approx re #s(hole binary64 re)) |
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* (log base) (atan2 im re))))) |
#s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) #s(hole binary64 (* -1 (* (pow (log base) 3) (atan2 im re))))) |
#s(approx (neg (* (log base) (atan2 im re))) #s(hole binary64 (* -1 (* (log base) (atan2 im re))))) |
#s(approx im #s(hole binary64 im)) |
#s(approx (log base) #s(hole binary64 (log base))) |
#s(approx base #s(hole binary64 base)) |
#s(approx (log (log base)) #s(hole binary64 (log (log base)))) |
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2))) |
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (log base) 4))) |
#s(approx (* (neg (* (log base) (log base))) 0) #s(hole binary64 0)) |
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log base) 2)))) |
#s(approx (* (neg (* (log base) (log base))) (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log base) 4)))) |
#s(approx (/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base)))))) |
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re))))) |
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base))))) |
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base)))))) |
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* -1 (* (log (/ 1 base)) (atan2 im re)))))) |
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2))) |
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (log (/ 1 base)) 4))) |
#s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) #s(hole binary64 (* (pow (log (/ 1 base)) 3) (atan2 im re)))) |
#s(approx (neg (* (log base) (atan2 im re))) #s(hole binary64 (* (log (/ 1 base)) (atan2 im re)))) |
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 2)))) |
#s(approx (* (neg (* (log base) (log base))) (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 4)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 137.0ms | base | @ | inf | ((/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (atan2 im re)) (log base) base (atan2 im re) im re (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (log (pow base (atan2 im re))) (* (log base) (log base))) (log (pow base (atan2 im re))) (pow base (atan2 im re)) (* (log base) (log base)) (/ (- (* (log base) (atan2 im re)) 0) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0))) (- (* (log base) (atan2 im re)) 0) 0 (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 (- (* (log base) (log base)) 0) (/ (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (log base))) (* (log base) (log base)))) (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (neg (* (log base) (atan2 im re))) (* (neg (* (log base) (log base))) 0) (neg (* (log base) (log base))) (* (neg (* (log base) (log base))) (* (log base) (log base)))) |
| 99.0ms | re | @ | inf | ((/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (atan2 im re)) (log base) base (atan2 im re) im re (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (log (pow base (atan2 im re))) (* (log base) (log base))) (log (pow base (atan2 im re))) (pow base (atan2 im re)) (* (log base) (log base)) (/ (- (* (log base) (atan2 im re)) 0) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0))) (- (* (log base) (atan2 im re)) 0) 0 (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 (- (* (log base) (log base)) 0) (/ (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (log base))) (* (log base) (log base)))) (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (neg (* (log base) (atan2 im re))) (* (neg (* (log base) (log base))) 0) (neg (* (log base) (log base))) (* (neg (* (log base) (log base))) (* (log base) (log base)))) |
| 57.0ms | base | @ | -inf | ((/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (atan2 im re)) (log base) base (atan2 im re) im re (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (log (pow base (atan2 im re))) (* (log base) (log base))) (log (pow base (atan2 im re))) (pow base (atan2 im re)) (* (log base) (log base)) (/ (- (* (log base) (atan2 im re)) 0) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0))) (- (* (log base) (atan2 im re)) 0) 0 (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 (- (* (log base) (log base)) 0) (/ (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (log base))) (* (log base) (log base)))) (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (neg (* (log base) (atan2 im re))) (* (neg (* (log base) (log base))) 0) (neg (* (log base) (log base))) (* (neg (* (log base) (log base))) (* (log base) (log base)))) |
| 50.0ms | re | @ | 0 | ((/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (atan2 im re)) (log base) base (atan2 im re) im re (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (log (pow base (atan2 im re))) (* (log base) (log base))) (log (pow base (atan2 im re))) (pow base (atan2 im re)) (* (log base) (log base)) (/ (- (* (log base) (atan2 im re)) 0) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0))) (- (* (log base) (atan2 im re)) 0) 0 (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 (- (* (log base) (log base)) 0) (/ (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (log base))) (* (log base) (log base)))) (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (neg (* (log base) (atan2 im re))) (* (neg (* (log base) (log base))) 0) (neg (* (log base) (log base))) (* (neg (* (log base) (log base))) (* (log base) (log base)))) |
| 39.0ms | im | @ | -inf | ((/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (atan2 im re)) (log base) base (atan2 im re) im re (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (log (pow base (atan2 im re))) (* (log base) (log base))) (log (pow base (atan2 im re))) (pow base (atan2 im re)) (* (log base) (log base)) (/ (- (* (log base) (atan2 im re)) 0) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0))) (- (* (log base) (atan2 im re)) 0) 0 (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 (- (* (log base) (log base)) 0) (/ (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (log base))) (* (log base) (log base)))) (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (neg (* (log base) (atan2 im re))) (* (neg (* (log base) (log base))) 0) (neg (* (log base) (log base))) (* (neg (* (log base) (log base))) (* (log base) (log base)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 658 |
| 0 | 168 | 491 |
| 0 | 455 | 491 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) |
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) |
(*.f64 (log.f64 base) (atan2.f64 im re)) |
(log.f64 base) |
base |
(atan2.f64 im re) |
im |
re |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))) |
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base)))) |
(exp.f64 (log.f64 (log.f64 base))) |
(log.f64 (log.f64 base)) |
(/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) |
(log.f64 (pow.f64 base (atan2.f64 im re))) |
(pow.f64 base (atan2.f64 im re)) |
(*.f64 (log.f64 base) (log.f64 base)) |
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) |
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) |
(-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) |
(-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))) |
(*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) |
(neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) |
(*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) |
(neg.f64 (*.f64 (log.f64 base) (log.f64 base))) |
(*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))) |
#s(approx (/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) #s(hole binary64 (/ (atan2 im re) (log base)))) |
#s(approx (/ (* (log base) (atan2 im re)) (log base)) #s(hole binary64 (atan2 im re))) |
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re)))) |
#s(approx re #s(hole binary64 re)) |
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* (log base) (atan2 im re))))) |
#s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) #s(hole binary64 (* -1 (* (pow (log base) 3) (atan2 im re))))) |
#s(approx (neg (* (log base) (atan2 im re))) #s(hole binary64 (* -1 (* (log base) (atan2 im re))))) |
#s(approx im #s(hole binary64 im)) |
#s(approx (log base) #s(hole binary64 (log base))) |
#s(approx base #s(hole binary64 base)) |
#s(approx (log (log base)) #s(hole binary64 (log (log base)))) |
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2))) |
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (log base) 4))) |
#s(approx (* (neg (* (log base) (log base))) 0) #s(hole binary64 0)) |
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log base) 2)))) |
#s(approx (* (neg (* (log base) (log base))) (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log base) 4)))) |
#s(approx (/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base)))))) |
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re))))) |
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base))))) |
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base)))))) |
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* -1 (* (log (/ 1 base)) (atan2 im re)))))) |
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2))) |
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (log (/ 1 base)) 4))) |
#s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) #s(hole binary64 (* (pow (log (/ 1 base)) 3) (atan2 im re)))) |
#s(approx (neg (* (log base) (atan2 im re))) #s(hole binary64 (* (log (/ 1 base)) (atan2 im re)))) |
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 2)))) |
#s(approx (* (neg (* (log base) (log base))) (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 4)))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (neg.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)))) (neg.f64 (log.f64 base))) |
(/.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) |
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) |
(-.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))) |
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base))) |
(/.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (neg.f64 (log.f64 base))) |
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) |
(*.f64 (log.f64 base) (atan2.f64 im re)) |
(*.f64 (atan2.f64 im re) (log.f64 base)) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) |
(fma.f64 (log.f64 base) (atan2.f64 im re) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) |
(fma.f64 (atan2.f64 im re) (log.f64 base) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) |
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) |
(log.f64 (pow.f64 base (atan2.f64 im re))) |
(exp.f64 (log.f64 (log.f64 base))) |
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) |
(log.f64 base) |
base |
(atan2.f64 im re) |
im |
re |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base))) |
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base))) |
(/.f64 (atan2.f64 im re) (log.f64 base)) |
(exp.f64 (log.f64 (log.f64 base))) |
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) |
(log.f64 base) |
(log.f64 (log.f64 base)) |
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (neg.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)))) (neg.f64 (log.f64 base))) |
(/.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) |
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) |
(-.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))) |
(*.f64 (log.f64 base) (atan2.f64 im re)) |
(*.f64 (atan2.f64 im re) (log.f64 base)) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) |
(fma.f64 (log.f64 base) (atan2.f64 im re) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) |
(fma.f64 (atan2.f64 im re) (log.f64 base) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) |
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) |
(log.f64 (pow.f64 base (atan2.f64 im re))) |
(*.f64 (pow.f64 base (/.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 base (/.f64 (atan2.f64 im re) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 base)) (atan2.f64 im re)) |
(pow.f64 base (atan2.f64 im re)) |
(exp.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (sinh.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base))) |
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#s(approx (pow base (atan2 im re)) (exp.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))) |
#s(approx (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base))) |
#s(approx (- (pow (log base) 4) 0) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
#s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (atan2.f64 im re))) |
#s(approx (neg (* (log base) (atan2 im re))) (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))) |
#s(approx (neg (* (log base) (log base))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) |
#s(approx (* (neg (* (log base) (log base))) (* (log base) (log base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) |
Compiled 6 518 to 797 computations (87.8% saved)
22 alts after pruning (18 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 193 | 8 | 201 |
| Fresh | 3 | 10 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 198 | 22 | 220 |
| Status | Accuracy | Program |
|---|---|---|
| 83.0% | (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (log.f64 base)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (log.f64 base)) (log.f64 base)) (*.f64 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (log.f64 base)) (log.f64 base)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) | |
| 82.9% | (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (*.f64 (log.f64 base) (log.f64 base))) | |
| ✓ | 99.4% | (/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) |
| 12.9% | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base)))) | |
| 51.3% | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) | |
| 99.3% | (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) #s(literal 0 binary64))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))) | |
| 98.9% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) | |
| 99.1% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) | |
| 99.1% | (/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (neg (* (log base) (log base))) 0) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) | |
| 51.3% | (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))) | |
| 99.1% | (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) | |
| 98.7% | (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))) #s(literal 0 binary64)))) | |
| ▶ | 50.0% | (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))))) |
| ▶ | 99.2% | (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) |
| ✓ | 46.6% | (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) |
| ▶ | 98.9% | (/.f64 #s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) |
| 99.1% | (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base))) | |
| 51.8% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (log.f64 base))) (cosh.f64 (log.f64 (log.f64 base))) (-.f64 (*.f64 (sinh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))))))) | |
| ▶ | 99.3% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))))) |
| ▶ | 51.8% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))) |
| ✓ | 99.5% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base))) |
| ✓ | 51.8% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))) |
Compiled 1 338 to 751 computations (43.9% saved)
| Inputs |
|---|
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))))) |
(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) |
(atan2.f64 im re) |
im |
re |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (log.f64 base) #s(literal -1 binary64)) |
(log.f64 base) |
base |
#s(literal -1 binary64) |
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) |
(*.f64 (atan2.f64 im re) (log.f64 base)) |
(*.f64 (log.f64 base) (log.f64 base)) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))) |
(/.f64 (atan2.f64 im re) (+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))) |
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) |
(cosh.f64 (log.f64 (log.f64 base))) |
(log.f64 (log.f64 base)) |
(sinh.f64 (log.f64 (log.f64 base))) |
(/.f64 #s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) |
#s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))) |
(neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) |
(pow.f64 (log.f64 base) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))) |
(neg.f64 (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))))) |
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) |
(*.f64 (log.f64 base) (atan2.f64 im re)) |
#s(literal 0 binary64) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))) |
(+.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) |
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base)))) |
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re))) |
#s(approx re #s(hole binary64 re)) |
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re)))) |
#s(approx (/ (atan2 im re) (+ (cosh (log (log base))) (sinh (log (log base))))) #s(hole binary64 (/ (atan2 im re) (+ (* 1/2 (+ (log base) (/ 1 (log base)))) (* 1/2 (- (log base) (/ 1 (log base)))))))) |
#s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) #s(hole binary64 (* -1 (* (pow (log base) 3) (atan2 im re))))) |
#s(approx (* (pow (log base) 3) (atan2 im re)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re)))) |
#s(approx im #s(hole binary64 im)) |
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (log base))) |
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (log base)))) |
#s(approx base #s(hole binary64 base)) |
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2))) |
#s(approx (+ (cosh (log (log base))) (sinh (log (log base)))) #s(hole binary64 (+ (* 1/2 (+ (log base) (/ 1 (log base)))) (* 1/2 (- (log base) (/ 1 (log base))))))) |
#s(approx (cosh (log (log base))) #s(hole binary64 (* 1/2 (+ (log base) (/ 1 (log base)))))) |
#s(approx (log (log base)) #s(hole binary64 (log (log base)))) |
#s(approx (sinh (log (log base))) #s(hole binary64 (* 1/2 (- (log base) (/ 1 (log base)))))) |
#s(approx (pow (log base) 3) #s(hole binary64 (pow (log base) 3))) |
#s(approx (* (neg (* (log base) (log base))) (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log base) 4)))) |
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log base) 2)))) |
#s(approx (+ (exp (* (* (log (log base)) 2) 3)) 0) #s(hole binary64 (pow (log base) 6))) |
#s(approx (* (* (log (log base)) 2) 3) #s(hole binary64 (* 6 (log (log base))))) |
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (log base))))) |
#s(approx (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) #s(hole binary64 (pow (log base) 4))) |
#s(approx (- 0 (* (* (log base) (log base)) 0)) #s(hole binary64 0)) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base)))))) |
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (* -1 (log (/ 1 base))))) |
#s(approx (pow (log base) -1) #s(hole binary64 (/ -1 (log (/ 1 base))))) |
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re))))) |
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2))) |
#s(approx (/ (atan2 im re) (+ (cosh (log (log base))) (sinh (log (log base))))) #s(hole binary64 (/ (atan2 im re) (+ (* 1/2 (+ (* -1 (log (/ 1 base))) (/ 1 (log (/ 1 base))))) (* 1/2 (- (* -1 (log (/ 1 base))) (/ 1 (log (/ 1 base))))))))) |
#s(approx (+ (cosh (log (log base))) (sinh (log (log base)))) #s(hole binary64 (+ (* 1/2 (+ (* -1 (log (/ 1 base))) (/ 1 (log (/ 1 base))))) (* 1/2 (- (* -1 (log (/ 1 base))) (/ 1 (log (/ 1 base)))))))) |
#s(approx (cosh (log (log base))) #s(hole binary64 (* 1/2 (- (* -1 (log (/ 1 base))) (/ 1 (log (/ 1 base))))))) |
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base)))))) |
#s(approx (sinh (log (log base))) #s(hole binary64 (* 1/2 (+ (* -1 (log (/ 1 base))) (/ 1 (log (/ 1 base))))))) |
#s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) #s(hole binary64 (* (pow (log (/ 1 base)) 3) (atan2 im re)))) |
#s(approx (* (pow (log base) 3) (atan2 im re)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re))))) |
#s(approx (pow (log base) 3) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 3)))) |
#s(approx (* (neg (* (log base) (log base))) (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 4)))) |
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 2)))) |
#s(approx (+ (exp (* (* (log (log base)) 2) 3)) 0) #s(hole binary64 (pow (log (/ 1 base)) 6))) |
#s(approx (* (* (log (log base)) 2) 3) #s(hole binary64 (* 6 (log (* -1 (log (/ 1 base))))))) |
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (* -1 (log (/ 1 base))))))) |
#s(approx (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) #s(hole binary64 (pow (log (/ 1 base)) 4))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | re | @ | inf | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (+ (cosh (log (log base))) (sinh (log (log base))))) (+ (cosh (log (log base))) (sinh (log (log base)))) (cosh (log (log base))) (log (log base)) (sinh (log (log base))) (/ (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (log base))) (* (log base) (log base)))) (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (neg (* (pow (log base) 3) (atan2 im re))) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) 3 (* (neg (* (log base) (log base))) (* (log base) (log base))) (neg (* (log base) (log base))) (/ (- (* (log base) (atan2 im re)) 0) (/ (+ (exp (* (* (log (log base)) 2) 3)) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (/ (+ (exp (* (* (log (log base)) 2) 3)) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (+ (exp (* (* (log (log base)) 2) 3)) 0) (exp (* (* (log (log base)) 2) 3)) (* (* (log (log base)) 2) 3) (* (log (log base)) 2) 2 (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow (log base) 4) 4 (- 0 (* (* (log base) (log base)) 0)) (* (* (log base) (log base)) 0)) |
| 31.0ms | im | @ | 0 | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (+ (cosh (log (log base))) (sinh (log (log base))))) (+ (cosh (log (log base))) (sinh (log (log base)))) (cosh (log (log base))) (log (log base)) (sinh (log (log base))) (/ (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (log base))) (* (log base) (log base)))) (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (neg (* (pow (log base) 3) (atan2 im re))) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) 3 (* (neg (* (log base) (log base))) (* (log base) (log base))) (neg (* (log base) (log base))) (/ (- (* (log base) (atan2 im re)) 0) (/ (+ (exp (* (* (log (log base)) 2) 3)) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (/ (+ (exp (* (* (log (log base)) 2) 3)) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (+ (exp (* (* (log (log base)) 2) 3)) 0) (exp (* (* (log (log base)) 2) 3)) (* (* (log (log base)) 2) 3) (* (log (log base)) 2) 2 (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow (log base) 4) 4 (- 0 (* (* (log base) (log base)) 0)) (* (* (log base) (log base)) 0)) |
| 23.0ms | base | @ | inf | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (+ (cosh (log (log base))) (sinh (log (log base))))) (+ (cosh (log (log base))) (sinh (log (log base)))) (cosh (log (log base))) (log (log base)) (sinh (log (log base))) (/ (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (log base))) (* (log base) (log base)))) (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (neg (* (pow (log base) 3) (atan2 im re))) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) 3 (* (neg (* (log base) (log base))) (* (log base) (log base))) (neg (* (log base) (log base))) (/ (- (* (log base) (atan2 im re)) 0) (/ (+ (exp (* (* (log (log base)) 2) 3)) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (/ (+ (exp (* (* (log (log base)) 2) 3)) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (+ (exp (* (* (log (log base)) 2) 3)) 0) (exp (* (* (log (log base)) 2) 3)) (* (* (log (log base)) 2) 3) (* (log (log base)) 2) 2 (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow (log base) 4) 4 (- 0 (* (* (log base) (log base)) 0)) (* (* (log base) (log base)) 0)) |
| 23.0ms | im | @ | -inf | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (+ (cosh (log (log base))) (sinh (log (log base))))) (+ (cosh (log (log base))) (sinh (log (log base)))) (cosh (log (log base))) (log (log base)) (sinh (log (log base))) (/ (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (log base))) (* (log base) (log base)))) (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (neg (* (pow (log base) 3) (atan2 im re))) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) 3 (* (neg (* (log base) (log base))) (* (log base) (log base))) (neg (* (log base) (log base))) (/ (- (* (log base) (atan2 im re)) 0) (/ (+ (exp (* (* (log (log base)) 2) 3)) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (/ (+ (exp (* (* (log (log base)) 2) 3)) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (+ (exp (* (* (log (log base)) 2) 3)) 0) (exp (* (* (log (log base)) 2) 3)) (* (* (log (log base)) 2) 3) (* (log (log base)) 2) 2 (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow (log base) 4) 4 (- 0 (* (* (log base) (log base)) 0)) (* (* (log base) (log base)) 0)) |
| 21.0ms | base | @ | -inf | ((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (+ (cosh (log (log base))) (sinh (log (log base))))) (+ (cosh (log (log base))) (sinh (log (log base)))) (cosh (log (log base))) (log (log base)) (sinh (log (log base))) (/ (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (log base))) (* (log base) (log base)))) (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (neg (* (pow (log base) 3) (atan2 im re))) (* (pow (log base) 3) (atan2 im re)) (pow (log base) 3) 3 (* (neg (* (log base) (log base))) (* (log base) (log base))) (neg (* (log base) (log base))) (/ (- (* (log base) (atan2 im re)) 0) (/ (+ (exp (* (* (log (log base)) 2) 3)) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (/ (+ (exp (* (* (log (log base)) 2) 3)) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (+ (exp (* (* (log (log base)) 2) 3)) 0) (exp (* (* (log (log base)) 2) 3)) (* (* (log (log base)) 2) 3) (* (log (log base)) 2) 2 (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow (log base) 4) 4 (- 0 (* (* (log base) (log base)) 0)) (* (* (log base) (log base)) 0)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 1175 |
| 0 | 235 | 824 |
| 0 | 695 | 820 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))))) |
(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) |
(atan2.f64 im re) |
im |
re |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (log.f64 base) #s(literal -1 binary64)) |
(log.f64 base) |
base |
#s(literal -1 binary64) |
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) |
(*.f64 (atan2.f64 im re) (log.f64 base)) |
(*.f64 (log.f64 base) (log.f64 base)) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))) |
(/.f64 (atan2.f64 im re) (+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))) |
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) |
(cosh.f64 (log.f64 (log.f64 base))) |
(log.f64 (log.f64 base)) |
(sinh.f64 (log.f64 (log.f64 base))) |
(/.f64 #s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) |
#s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))) |
(neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) |
(pow.f64 (log.f64 base) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))) |
(neg.f64 (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))))) |
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) |
(*.f64 (log.f64 base) (atan2.f64 im re)) |
#s(literal 0 binary64) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))) |
(+.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) |
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base)))) |
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re))) |
#s(approx re #s(hole binary64 re)) |
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re)))) |
#s(approx (/ (atan2 im re) (+ (cosh (log (log base))) (sinh (log (log base))))) #s(hole binary64 (/ (atan2 im re) (+ (* 1/2 (+ (log base) (/ 1 (log base)))) (* 1/2 (- (log base) (/ 1 (log base)))))))) |
#s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) #s(hole binary64 (* -1 (* (pow (log base) 3) (atan2 im re))))) |
#s(approx (* (pow (log base) 3) (atan2 im re)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re)))) |
#s(approx im #s(hole binary64 im)) |
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (log base))) |
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (log base)))) |
#s(approx base #s(hole binary64 base)) |
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2))) |
#s(approx (+ (cosh (log (log base))) (sinh (log (log base)))) #s(hole binary64 (+ (* 1/2 (+ (log base) (/ 1 (log base)))) (* 1/2 (- (log base) (/ 1 (log base))))))) |
#s(approx (cosh (log (log base))) #s(hole binary64 (* 1/2 (+ (log base) (/ 1 (log base)))))) |
#s(approx (log (log base)) #s(hole binary64 (log (log base)))) |
#s(approx (sinh (log (log base))) #s(hole binary64 (* 1/2 (- (log base) (/ 1 (log base)))))) |
#s(approx (pow (log base) 3) #s(hole binary64 (pow (log base) 3))) |
#s(approx (* (neg (* (log base) (log base))) (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log base) 4)))) |
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log base) 2)))) |
#s(approx (+ (exp (* (* (log (log base)) 2) 3)) 0) #s(hole binary64 (pow (log base) 6))) |
#s(approx (* (* (log (log base)) 2) 3) #s(hole binary64 (* 6 (log (log base))))) |
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (log base))))) |
#s(approx (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) #s(hole binary64 (pow (log base) 4))) |
#s(approx (- 0 (* (* (log base) (log base)) 0)) #s(hole binary64 0)) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base)))))) |
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (* -1 (log (/ 1 base))))) |
#s(approx (pow (log base) -1) #s(hole binary64 (/ -1 (log (/ 1 base))))) |
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re))))) |
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2))) |
#s(approx (/ (atan2 im re) (+ (cosh (log (log base))) (sinh (log (log base))))) #s(hole binary64 (/ (atan2 im re) (+ (* 1/2 (+ (* -1 (log (/ 1 base))) (/ 1 (log (/ 1 base))))) (* 1/2 (- (* -1 (log (/ 1 base))) (/ 1 (log (/ 1 base))))))))) |
#s(approx (+ (cosh (log (log base))) (sinh (log (log base)))) #s(hole binary64 (+ (* 1/2 (+ (* -1 (log (/ 1 base))) (/ 1 (log (/ 1 base))))) (* 1/2 (- (* -1 (log (/ 1 base))) (/ 1 (log (/ 1 base)))))))) |
#s(approx (cosh (log (log base))) #s(hole binary64 (* 1/2 (- (* -1 (log (/ 1 base))) (/ 1 (log (/ 1 base))))))) |
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base)))))) |
#s(approx (sinh (log (log base))) #s(hole binary64 (* 1/2 (+ (* -1 (log (/ 1 base))) (/ 1 (log (/ 1 base))))))) |
#s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) #s(hole binary64 (* (pow (log (/ 1 base)) 3) (atan2 im re)))) |
#s(approx (* (pow (log base) 3) (atan2 im re)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re))))) |
#s(approx (pow (log base) 3) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 3)))) |
#s(approx (* (neg (* (log base) (log base))) (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 4)))) |
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 2)))) |
#s(approx (+ (exp (* (* (log (log base)) 2) 3)) 0) #s(hole binary64 (pow (log (/ 1 base)) 6))) |
#s(approx (* (* (log (log base)) 2) 3) #s(hole binary64 (* 6 (log (* -1 (log (/ 1 base))))))) |
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (* -1 (log (/ 1 base))))))) |
#s(approx (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) #s(hole binary64 (pow (log (/ 1 base)) 4))) |
| Outputs |
|---|
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) |
(*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) |
(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) |
(atan2.f64 im re) |
im |
re |
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) |
(pow.f64 (log.f64 base) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) |
(pow.f64 (log.f64 base) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (log.f64 base)))) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) |
(log.f64 base) |
base |
#s(literal -1 binary64) |
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base))) |
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) |
(/.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) |
(-.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))) |
(*.f64 (log.f64 base) (atan2.f64 im re)) |
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(*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(*.f64 (log.f64 (log.f64 base)) #s(literal 6 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) |
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) |
(+.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base))) |
(log.f64 (*.f64 (log.f64 base) (log.f64 base))) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))) |
(fma.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) |
(-.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) |
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64)) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))) |
#s(literal 4 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base))) |
#s(approx (atan2 im re) (atan2.f64 im re)) |
#s(approx re re) |
#s(approx (* (atan2 im re) (log base)) (*.f64 (log.f64 base) (atan2.f64 im re))) |
#s(approx (/ (atan2 im re) (+ (cosh (log (log base))) (sinh (log (log base))))) (/.f64 (atan2.f64 im re) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (-.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base))))))) |
#s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (atan2.f64 im re)))) |
#s(approx (* (pow (log base) 3) (atan2 im re)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) |
#s(approx im im) |
#s(approx (/ 1 (pow (log base) -1)) (log.f64 base)) |
#s(approx (pow (log base) -1) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
#s(approx base base) |
#s(approx (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base))) |
#s(approx (+ (cosh (log (log base))) (sinh (log (log base)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (-.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))))) |
#s(approx (cosh (log (log base))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64))) |
#s(approx (log (log base)) (log.f64 (log.f64 base))) |
#s(approx (sinh (log (log base))) (*.f64 (-.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 1/2 binary64))) |
#s(approx (pow (log base) 3) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
#s(approx (* (neg (* (log base) (log base))) (* (log base) (log base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) |
#s(approx (neg (* (log base) (log base))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) |
#s(approx (+ (exp (* (* (log (log base)) 2) 3)) 0) (pow.f64 (log.f64 base) #s(literal 6 binary64))) |
#s(approx (* (* (log (log base)) 2) 3) (*.f64 #s(literal 6 binary64) (log.f64 (log.f64 base)))) |
#s(approx (* (log (log base)) 2) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) |
#s(approx (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
#s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64)) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))) |
#s(approx (/ 1 (pow (log base) -1)) (neg.f64 (neg.f64 (log.f64 base)))) |
#s(approx (pow (log base) -1) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
#s(approx (* (atan2 im re) (log base)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))) |
#s(approx (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base))) |
#s(approx (/ (atan2 im re) (+ (cosh (log (log base))) (sinh (log (log base))))) (/.f64 (atan2.f64 im re) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base)))) (-.f64 (neg.f64 (neg.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base)))))))) |
#s(approx (+ (cosh (log (log base))) (sinh (log (log base)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base)))) (-.f64 (neg.f64 (neg.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))))) |
#s(approx (cosh (log (log base))) (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base)))) #s(literal 1/2 binary64))) |
#s(approx (log (log base)) (log.f64 (neg.f64 (neg.f64 (log.f64 base))))) |
#s(approx (sinh (log (log base))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 1/2 binary64))) |
#s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (atan2.f64 im re))) |
#s(approx (* (pow (log base) 3) (atan2 im re)) (*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64))) (atan2.f64 im re))) |
#s(approx (pow (log base) 3) (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))) |
#s(approx (* (neg (* (log base) (log base))) (* (log base) (log base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) |
#s(approx (neg (* (log base) (log base))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) |
#s(approx (+ (exp (* (* (log (log base)) 2) 3)) 0) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 6 binary64))) |
#s(approx (* (* (log (log base)) 2) 3) (*.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 6 binary64))) |
#s(approx (* (log (log base)) 2) (*.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))) |
#s(approx (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
Compiled 8 245 to 883 computations (89.3% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 11 | 213 |
| Fresh | 8 | 5 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 214 | 21 | 235 |
| Status | Accuracy | Program |
|---|---|---|
| 82.9% | (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (*.f64 (log.f64 base) (log.f64 base))) | |
| 99.3% | (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) #s(literal 0 binary64))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))) | |
| 99.1% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) | |
| 99.1% | (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) | |
| 98.9% | (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))))) | |
| ✓ | 99.2% | (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) |
| 12.9% | (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 (pow.f64 base (log.f64 base)))) | |
| 46.1% | (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))) | |
| 51.3% | (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) | |
| ✓ | 46.6% | (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) |
| 99.2% | (/.f64 #s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (atan2.f64 im re)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) | |
| ✓ | 98.9% | (/.f64 #s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) |
| 12.8% | (/.f64 #s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))) (*.f64 (neg.f64 (log.f64 (pow.f64 base (log.f64 base)))) (log.f64 (pow.f64 base (log.f64 base))))) | |
| 99.2% | (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))) | |
| 99.1% | (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) | |
| 99.1% | (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base))) | |
| 52.2% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))) | |
| 52.1% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (+.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(approx (sinh (log (log base))) (*.f64 (-.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 1/2 binary64)))))) | |
| ✓ | 99.5% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base))) |
| ✓ | 51.8% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))) |
| 99.4% | #s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) |
Compiled 2 067 to 588 computations (71.6% saved)
Total -63.6b remaining (-18104.4%)
Threshold costs -63.6b (-18104.4%)
| Inputs |
|---|
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base))) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))) |
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
(/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 (pow.f64 base (log.f64 base)))) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base)))) |
(/.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (+.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(approx (sinh (log (log base))) (*.f64 (-.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 #s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (atan2.f64 im re)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))) |
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base)))) |
(/.f64 #s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (neg (* (log base) (log base))) 0) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) #s(literal 0 binary64))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 #s(approx (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))) (*.f64 (neg.f64 (log.f64 (pow.f64 base (log.f64 base)))) (log.f64 (pow.f64 base (log.f64 base))))) |
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))))) |
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))))) |
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))) #s(literal 0 binary64)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (log.f64 base)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (log.f64 base)) (log.f64 base)) (*.f64 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (log.f64 base)) (log.f64 base)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) |
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (log.f64 base))) (cosh.f64 (log.f64 (log.f64 base))) (-.f64 (*.f64 (sinh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))))) |
| Outputs |
|---|
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base))) |
5 calls:
| 31.0ms | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 11.0ms | (log.f64 base) |
| 11.0ms | re |
| 11.0ms | base |
| 11.0ms | im |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (log.f64 base) |
| 99.5% | 1 | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 99.5% | 1 | re |
| 99.5% | 1 | im |
| 99.5% | 1 | base |
Compiled 33 to 31 computations (6.1% saved)
| 1× | fuel |
Compiled 35 to 22 computations (37.1% saved)
Compiled 63 to 40 computations (36.5% saved)
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