
Time bar (total: 5.9s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-log: 387.0ms (46.8% of total)ival-hypot: 149.0ms (18% of total)ival-mult!: 128.0ms (15.5% of total)ival-atan2: 64.0ms (7.7% of total)ival-div!: 59.0ms (7.1% of total)ival-add!: 39.0ms (4.7% of total)adjust: 2.0ms (0.2% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 197 |
| 1 | 292 | 177 |
| 2 | 1467 | 142 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.1% | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (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)))) |
(abs re)
(abs im)
(sort re im)
Compiled 56 to 36 computations (35.7% saved)
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (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 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) |
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
(+.f64 (*.f64 re re) (*.f64 im im)) |
(*.f64 re re) |
re |
(*.f64 im im) |
im |
(log.f64 base) |
base |
(*.f64 (atan2.f64 im re) #s(literal 0 binary64)) |
(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 (log.f64 base) (log.f64 base)) |
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (pow im 2))) (log base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 2)))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 4)))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 2)))))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 6)))) (* 1/4 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 4)))))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 2)))))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (pow im 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 2))) (* (log base) (log (sqrt (pow im 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow im 2)))) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ (log base) (pow (sqrt (pow im 2)) 2)))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow im 2)))) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow (sqrt (pow im 2)) 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow (sqrt (pow im 2)) 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 6)))))))))) |
#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 re #s(hole binary64 re)) |
#s(approx (* (atan2 im re) 0) #s(hole binary64 0)) |
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ 1 re)) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 re)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (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)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ -1 re)) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 re)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (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 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (pow re 2))) (log base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow im 2) (* (log base) (pow (sqrt (pow re 2)) 2)))) (/ (log (sqrt (pow re 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (log base) (pow (sqrt (pow re 2)) 4)))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow re 2)) 2)))))) (/ (log (sqrt (pow re 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (log base) (pow (sqrt (pow re 2)) 6)))) (* 1/4 (/ 1 (* (log base) (pow (sqrt (pow re 2)) 4)))))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow re 2)) 2)))))) (/ (log (sqrt (pow re 2))) (log base))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (pow re 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow (sqrt (pow re 2)) 2))) (* (log base) (log (sqrt (pow re 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow re 2)))) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ (log base) (pow (sqrt (pow re 2)) 2)))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow re 2)))) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow (sqrt (pow re 2)) 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow (sqrt (pow re 2)) 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow (sqrt (pow re 2)) 6)))))))))) |
#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 im #s(hole binary64 im)) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ 1 im)) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 im)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (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 (* 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)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ -1 im)) (log base))))) |
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#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))))) |
#s(approx (log base) #s(hole binary64 (log base))) |
#s(approx base #s(hole binary64 base)) |
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#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))) |
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#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 |
|---|---|---|
| 63.0ms | base | 0 |
| 20.0ms | base | inf |
| 18.0ms | base | -inf |
| 4.0ms | re | 0 |
| 3.0ms | im | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 525 | 4499 |
| 0 | 548 | 3946 |
| 1 | 2932 | 3760 |
| 0 | 8807 | 3049 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
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re |
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#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 im)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (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 (* 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)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ -1 im)) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 im)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (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 (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 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 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))) |
#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 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re 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 (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))) |
(/.f64 (neg.f64 (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 0 binary64))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))) |
(+.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 0 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 0 binary64))))) |
(fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 0 binary64)) |
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) |
(-.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (neg.f64 (atan2.f64 im re)) #s(literal 0 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))) |
(+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 0 binary64)) |
(log.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)))) |
(log.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)) #s(literal 1 binary64))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(log.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) |
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) |
(pow.f64 (fma.f64 im im (*.f64 re re)) #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 im im (*.f64 re re))) |
(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 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 (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 (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 (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 (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 (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 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 (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 (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)) |
(hypot.f64 (fabs.f64 re) (fabs.f64 im)) |
(hypot.f64 (fabs.f64 re) im) |
(hypot.f64 (fabs.f64 im) (neg.f64 (neg.f64 re))) |
(hypot.f64 (fabs.f64 im) (exp.f64 (log.f64 (fabs.f64 re)))) |
(hypot.f64 (fabs.f64 im) (pow.f64 (neg.f64 re) #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 im) (neg.f64 (fabs.f64 re))) |
(hypot.f64 (fabs.f64 im) (neg.f64 re)) |
(hypot.f64 (fabs.f64 im) (fabs.f64 re)) |
(hypot.f64 (fabs.f64 im) re) |
(hypot.f64 im (neg.f64 (neg.f64 re))) |
(hypot.f64 im (exp.f64 (log.f64 (fabs.f64 re)))) |
(hypot.f64 im (pow.f64 (neg.f64 re) #s(literal 1 binary64))) |
(hypot.f64 im (neg.f64 (fabs.f64 re))) |
(hypot.f64 im (neg.f64 re)) |
(hypot.f64 im (fabs.f64 re)) |
(hypot.f64 im re) |
(hypot.f64 re (neg.f64 (neg.f64 im))) |
(hypot.f64 re (exp.f64 (log.f64 (fabs.f64 im)))) |
(hypot.f64 re (pow.f64 (neg.f64 im) #s(literal 1 binary64))) |
(hypot.f64 re (neg.f64 (fabs.f64 im))) |
(hypot.f64 re (neg.f64 im)) |
(hypot.f64 re (fabs.f64 im)) |
(hypot.f64 re im) |
(exp.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im)))) (neg.f64 (-.f64 (*.f64 re re) (*.f64 im im)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) (-.f64 (*.f64 re re) (*.f64 im im))) |
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(fma.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)) (*.f64 re re)) |
(fma.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)) (*.f64 im im)) |
(fma.f64 (exp.f64 (log.f64 (fabs.f64 re))) (exp.f64 (log.f64 (fabs.f64 re))) (*.f64 im im)) |
(fma.f64 (exp.f64 (log.f64 (fabs.f64 im))) (exp.f64 (log.f64 (fabs.f64 im))) (*.f64 re re)) |
(fma.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (*.f64 im im)) |
(fma.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (*.f64 re re)) |
(fma.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)) (*.f64 im im)) |
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) (*.f64 re re)) |
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 re re)) |
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 im im)) |
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 im im)) |
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 re re)) |
(fma.f64 im im (*.f64 re re)) |
(fma.f64 re re (*.f64 im im)) |
(-.f64 (*.f64 re re) (*.f64 (neg.f64 im) im)) |
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(*.f64 (fabs.f64 re) (fabs.f64 re)) |
(*.f64 re re) |
(pow.f64 (exp.f64 (log.f64 (fabs.f64 re))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 re) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 re) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/2 binary64)) |
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(pow.f64 re #s(literal 2 binary64)) |
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(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))) |
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(exp.f64 (*.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 re re)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 re)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))) |
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re |
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im))) |
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(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im))) |
(*.f64 (neg.f64 im) (neg.f64 im)) |
(*.f64 (fabs.f64 im) (fabs.f64 im)) |
(*.f64 im im) |
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(pow.f64 (fabs.f64 im) #s(literal 2 binary64)) |
(pow.f64 (*.f64 im im) #s(literal 1 binary64)) |
(pow.f64 im #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im))) |
(sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im))) |
(fabs.f64 (*.f64 im im)) |
(exp.f64 (*.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 im im)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 im)) #s(literal 2 binary64))) |
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(+.f64 (cosh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))) |
im |
(pow.f64 (log.f64 base) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.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 0 binary64) |
(atan2.f64 im re) |
#s(literal 0 binary64) |
(*.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base)))) |
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(*.f64 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base)))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (exp.f64 (log.f64 (neg.f64 (log.f64 base))))) |
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base))) |
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(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base))) |
(*.f64 (log.f64 base) (log.f64 base)) |
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(pow.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 1 binary64)) |
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(fma.f64 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base))) #s(literal 0 binary64)) |
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(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))) #s(literal 0 binary64)) |
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(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64)) |
(fabs.f64 (*.f64 (log.f64 base) (log.f64 base))) |
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) |
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(log.f64 (*.f64 #s(literal 1 binary64) (pow.f64 base (log.f64 base)))) |
(log.f64 (pow.f64 base (log.f64 base))) |
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(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base))) |
(*.f64 (log.f64 base) (log.f64 base)) |
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(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
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(fma.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64)) |
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(fma.f64 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base))) #s(literal 0 binary64)) |
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(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64)) |
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(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64)) |
(fabs.f64 (*.f64 (log.f64 base) (log.f64 base))) |
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) |
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(+.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) |
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(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 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) |
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#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) |
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#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (fabs.f64 im))) |
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#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 (+.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (log.f64 base))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 base)))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (log.f64 base))) #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 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) (log.f64 base))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 base))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))) (*.f64 (*.f64 (*.f64 re re) (/.f64 (log.f64 base) (*.f64 im im))) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))) (fma.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 re re) (/.f64 (log.f64 base) (*.f64 im im))) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))) (fma.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (log.f64 base)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/720 binary64) (*.f64 (*.f64 (*.f64 re re) (/.f64 (log.f64 base) (*.f64 im im))) #s(literal 1/2 binary64)))))) |
#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 (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))) |
#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 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (neg.f64 (log.f64 base))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re 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 12 868 to 1 877 computations (85.4% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 330 | 14 | 344 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 331 | 14 | 345 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.0% | (/.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re 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))) |
| 99.3% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) im)) (log.f64 base)) (*.f64 (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)))) | |
| ▶ | 99.3% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (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)))) |
| 56.0% | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (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)))) | |
| 25.8% | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))) | |
| 29.2% | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) | |
| 29.5% | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| ▶ | 9.7% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 98.5% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| 56.2% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) | |
| ▶ | 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) |
| 98.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) | |
| 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (log.f64 base))) | |
| ▶ | 98.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
Compiled 900 to 588 computations (34.7% saved)
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (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 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) |
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
re |
im |
(log.f64 base) |
base |
(*.f64 (atan2.f64 im re) #s(literal 0 binary64)) |
(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 (log.f64 base) (log.f64 base)) |
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 im) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) |
(/.f64 (log.f64 (fabs.f64 re)) (log.f64 base)) |
(log.f64 (fabs.f64 re)) |
(fabs.f64 re) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) |
(*.f64 (log.f64 (fabs.f64 re)) (log.f64 base)) |
(/.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re 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))) |
(fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) |
(sqrt.f64 (fma.f64 im im (*.f64 re re))) |
(fma.f64 im im (*.f64 re re)) |
(*.f64 re re) |
(*.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) |
| Outputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (pow im 2))) (log base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 2)))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 4)))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 2)))))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 6)))) (* 1/4 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 4)))))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 2)))))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (pow im 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 2))) (* (log base) (log (sqrt (pow im 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow im 2)))) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ (log base) (pow (sqrt (pow im 2)) 2)))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow im 2)))) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow (sqrt (pow im 2)) 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow (sqrt (pow im 2)) 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 6)))))))))) |
#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 #s(hole binary64 re)) |
#s(approx (* (atan2 im re) 0) #s(hole binary64 0)) |
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re))) |
#s(approx (/ (log (fabs re)) (log base)) #s(hole binary64 (/ (log (fabs re)) (log base)))) |
#s(approx (log (fabs re)) #s(hole binary64 (log (fabs re)))) |
#s(approx (fabs re) #s(hole binary64 (fabs re))) |
#s(approx (* (log (fabs re)) (log base)) #s(hole binary64 (* (log base) (log (fabs re))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (log base) 3) (log (sqrt (pow im 2)))))) |
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#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2))) |
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#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))) |
#s(approx (/ (log im) (log base)) #s(hole binary64 (* -1 (/ (log im) (log (/ 1 base)))))) |
#s(approx (/ (log (fabs re)) (log base)) #s(hole binary64 (* -1 (/ (log (fabs re)) (log (/ 1 base)))))) |
#s(approx (* (log (fabs re)) (log base)) #s(hole binary64 (* -1 (* (log (fabs re)) (log (/ 1 base)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3))))) |
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 151.0ms | re | -inf |
| 60.0ms | re | 0 |
| 48.0ms | re | inf |
| 44.0ms | base | 0 |
| 40.0ms | base | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 689 | 5863 |
| 0 | 741 | 4759 |
| 1 | 3888 | 4627 |
| 0 | 8947 | 4424 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
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#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 re)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (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 (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* -1 (* (pow (log base) 3) (log (/ -1 re)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow re 2)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 3)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow re 2))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 3)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 3) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow re 2)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (pow re 2))) (log base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow im 2) (* (log base) (pow (sqrt (pow re 2)) 2)))) (/ (log (sqrt (pow re 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (log base) (pow (sqrt (pow re 2)) 4)))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow re 2)) 2)))))) (/ (log (sqrt (pow re 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (log base) (pow (sqrt (pow re 2)) 6)))) (* 1/4 (/ 1 (* (log base) (pow (sqrt (pow re 2)) 4)))))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow re 2)) 2)))))) (/ (log (sqrt (pow re 2))) (log base))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (pow re 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow (sqrt (pow re 2)) 2))) (* (log base) (log (sqrt (pow re 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow re 2)))) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ (log base) (pow (sqrt (pow re 2)) 2)))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow re 2)))) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow (sqrt (pow re 2)) 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow (sqrt (pow re 2)) 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow (sqrt (pow re 2)) 6)))))))))) |
#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 im #s(hole binary64 im)) |
#s(approx (/ (log im) (log base)) #s(hole binary64 (/ (log im) (log base)))) |
#s(approx (log im) #s(hole binary64 (log im))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (log base) 3) (log (sqrt (pow re 2)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow (sqrt (pow re 2)) 2))) (* (pow (log base) 3) (log (sqrt (pow re 2))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (+ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (pow (log base) 3)) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ (pow (log base) 3) (pow (sqrt (pow re 2)) 2))))) (* (pow (log base) 3) (log (sqrt (pow re 2))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (+ (* (pow im 2) (+ (* 1/2 (/ (pow (log base) 3) (pow (sqrt (pow re 2)) 2))) (* (pow im 2) (+ (* -1/4 (/ (pow (log base) 3) (pow (sqrt (pow re 2)) 4))) (* 1/6 (/ (* (pow im 2) (pow (log base) 3)) (pow (sqrt (pow re 2)) 6))))))) (* (pow (log base) 3) (log (sqrt (pow re 2))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ 1 im)) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 im)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (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 (* 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 (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* -1 (* (pow (log base) 3) (log (/ 1 im)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 3) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))))) |
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ -1 im)) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 im)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (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) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* -1 (* (pow (log base) 3) (log (/ -1 im)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 3) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 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 (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (log base) 3) (log (sqrt (+ (pow im 2) (pow re 2))))))) |
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))) |
#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))) |
#s(approx (/ (log im) (log base)) #s(hole binary64 (* -1 (/ (log im) (log (/ 1 base)))))) |
#s(approx (/ (log (fabs re)) (log base)) #s(hole binary64 (* -1 (/ (log (fabs re)) (log (/ 1 base)))))) |
#s(approx (* (log (fabs re)) (log base)) #s(hole binary64 (* -1 (* (log (fabs re)) (log (/ 1 base)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3))))) |
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))) |
(/.f64 (neg.f64 (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 0 binary64))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))) |
(+.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 0 binary64)))))) |
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(hypot.f64 re im) |
(exp.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))) |
re |
im |
(pow.f64 (log.f64 base) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.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 0 binary64) |
(atan2.f64 im re) |
#s(literal 0 binary64) |
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(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64)) |
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(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64)) |
(fabs.f64 (*.f64 (log.f64 base) (log.f64 base))) |
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) |
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#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 (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (neg.f64 (*.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (fma.f64 (*.f64 (*.f64 re re) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 im im))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 re re) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 im im))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 re re) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 im im))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))))) (neg.f64 (*.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))) |
#s(approx (+ (* im im) (* re re)) (*.f64 (+.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (log.f64 base))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 base)))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (log.f64 base))) #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 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) (log.f64 base))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 base))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))) (*.f64 (*.f64 (*.f64 re re) (/.f64 (log.f64 base) (*.f64 im im))) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))) (fma.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 re re) (/.f64 (log.f64 base) (*.f64 im im))) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))) (fma.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (log.f64 base)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/720 binary64) (*.f64 (*.f64 (*.f64 re re) (/.f64 (log.f64 base) (*.f64 im im))) #s(literal 1/2 binary64)))))) |
#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 (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (log.f64 (neg.f64 im)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (fma.f64 (*.f64 (*.f64 re re) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 im im))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (log.f64 (neg.f64 im))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (+.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (log.f64 (neg.f64 im))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 re re) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 im im))) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (+.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (log.f64 (neg.f64 im))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 re re) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 im im))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))) |
#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 (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))) |
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (neg.f64 (log.f64 base))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re 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))) |
#s(approx (/ (log im) (log base)) (/.f64 (log.f64 im) (log.f64 base))) |
#s(approx (/ (log (fabs re)) (log base)) (/.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) |
#s(approx (* (log (fabs re)) (log base)) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (fabs.f64 re))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))) |
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
Compiled 19 998 to 2 347 computations (88.3% saved)
24 alts after pruning (22 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 498 | 18 | 516 |
| Fresh | 5 | 4 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 506 | 24 | 530 |
| Status | Accuracy | Program |
|---|---|---|
| 56.1% | (/.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64))) | |
| ▶ | 56.0% | (/.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
| ▶ | 99.3% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
| 47.5% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))) | |
| 99.1% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (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)))) | |
| 99.3% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| 50.3% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| 9.7% | (/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (fabs.f64 re)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| 98.4% | (/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (fabs.f64 im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| 9.7% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (/.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)))) | |
| 9.7% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))) | |
| ▶ | 5.0% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
| 5.0% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| 98.5% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 re)))) (log.f64 base))) | |
| ▶ | 56.2% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) |
| 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) | |
| ✓ | 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) |
| 5.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))) | |
| 98.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) | |
| ▶ | 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (log.f64 base))) |
| 98.6% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) | |
| ✓ | 98.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
| 49.8% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))) |
Compiled 1 567 to 1 025 computations (34.6% saved)
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) |
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
re |
im |
(log.f64 base) |
base |
(*.f64 (atan2.f64 im re) #s(literal 0 binary64)) |
(atan2.f64 im re) |
#s(literal 0 binary64) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(log.f64 re) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) |
(sqrt.f64 (fma.f64 im im (*.f64 re re))) |
(fma.f64 im im (*.f64 re re)) |
(*.f64 re re) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) |
(*.f64 (log.f64 (fabs.f64 re)) (log.f64 base)) |
(log.f64 (fabs.f64 re)) |
(fabs.f64 re) |
(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)) |
(/.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(*.f64 (log.f64 base) (log.f64 base)) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (/ (log (sqrt (pow im 2))) (log base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 2)))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 4)))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 2)))))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 6)))) (* 1/4 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 4)))))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 2)))))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (pow im 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 2))) (* (log base) (log (sqrt (pow im 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow im 2)))) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ (log base) (pow (sqrt (pow im 2)) 2)))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow im 2)))) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow (sqrt (pow im 2)) 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow (sqrt (pow im 2)) 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 6)))))))))) |
#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 #s(hole binary64 re)) |
#s(approx (* (atan2 im re) 0) #s(hole binary64 0)) |
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re))) |
#s(approx (/ (log re) (log base)) #s(hole binary64 (/ (log re) (log base)))) |
#s(approx (log re) #s(hole binary64 (log re))) |
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (pow im 2))) |
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (+ (pow im 2) (pow re 2)))) |
#s(approx (* re re) #s(hole binary64 (pow re 2))) |
#s(approx (* (log (fabs re)) (log base)) #s(hole binary64 (* (log base) (log (fabs re))))) |
#s(approx (log (fabs re)) #s(hole binary64 (log (fabs re)))) |
#s(approx (fabs re) #s(hole binary64 (fabs re))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (* (pow (log base) 3) (log (sqrt (pow im 2)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow (sqrt (pow im 2)) 2))) (* (pow (log base) 3) (log (sqrt (pow im 2))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 3)) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ (pow (log base) 3) (pow (sqrt (pow im 2)) 2))))) (* (pow (log base) 3) (log (sqrt (pow im 2))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 3) (pow (sqrt (pow im 2)) 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 3) (pow (sqrt (pow im 2)) 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 3)) (pow (sqrt (pow im 2)) 6))))))) (* (pow (log base) 3) (log (sqrt (pow im 2))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (log (/ 1 re)) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 re)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (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 (+ (* im im) (* re re)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (* -1 (* (pow (log base) 3) (log (/ 1 re)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow re 2)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 3)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow re 2))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 3)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 3) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow re 2)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (log (/ -1 re)) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 re)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (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 (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (* -1 (* (pow (log base) 3) (log (/ -1 re)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow re 2)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 3)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow re 2))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 3)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 3) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow re 2)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (/ (log (sqrt (pow re 2))) (log base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* 1/2 (/ (pow im 2) (* (log base) (pow (sqrt (pow re 2)) 2)))) (/ (log (sqrt (pow re 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (log base) (pow (sqrt (pow re 2)) 4)))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow re 2)) 2)))))) (/ (log (sqrt (pow re 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (log base) (pow (sqrt (pow re 2)) 6)))) (* 1/4 (/ 1 (* (log base) (pow (sqrt (pow re 2)) 4)))))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow re 2)) 2)))))) (/ (log (sqrt (pow re 2))) (log base))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (pow re 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow (sqrt (pow re 2)) 2))) (* (log base) (log (sqrt (pow re 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow re 2)))) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ (log base) (pow (sqrt (pow re 2)) 2)))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow re 2)))) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow (sqrt (pow re 2)) 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow (sqrt (pow re 2)) 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow (sqrt (pow re 2)) 6)))))))))) |
#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 im #s(hole binary64 im)) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (* (pow (log base) 3) (log (sqrt (pow re 2)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow (sqrt (pow re 2)) 2))) (* (pow (log base) 3) (log (sqrt (pow re 2))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (pow (log base) 3)) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ (pow (log base) 3) (pow (sqrt (pow re 2)) 2))))) (* (pow (log base) 3) (log (sqrt (pow re 2))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* (pow im 2) (+ (* 1/2 (/ (pow (log base) 3) (pow (sqrt (pow re 2)) 2))) (* (pow im 2) (+ (* -1/4 (/ (pow (log base) 3) (pow (sqrt (pow re 2)) 4))) (* 1/6 (/ (* (pow im 2) (pow (log base) 3)) (pow (sqrt (pow re 2)) 6))))))) (* (pow (log base) 3) (log (sqrt (pow re 2))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (log (/ 1 im)) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 im)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (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 (* 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 (+ (* im im) (* re re)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (* -1 (* (pow (log base) 3) (log (/ 1 im)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 3) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (log (/ -1 im)) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 im)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (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) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (* -1 (* (pow (log base) 3) (log (/ -1 im)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 3) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))))) |
#s(approx (log base) #s(hole binary64 (log base))) |
#s(approx base #s(hole binary64 base)) |
#s(approx (pow (log base) 2) #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 (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (* (pow (log base) 3) (log (sqrt (+ (pow im 2) (pow re 2))))))) |
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))) |
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base))))) |
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2))) |
#s(approx (/ (log re) (log base)) #s(hole binary64 (* -1 (/ (log re) (log (/ 1 base)))))) |
#s(approx (* (log (fabs re)) (log base)) #s(hole binary64 (* -1 (* (log (fabs re)) (log (/ 1 base)))))) |
#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 (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3))))) |
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 105.0ms | base | 0 |
| 94.0ms | base | -inf |
| 64.0ms | re | inf |
| 54.0ms | base | inf |
| 33.0ms | re | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 694 | 5635 |
| 0 | 748 | 4756 |
| 1 | 3896 | 4624 |
| 0 | 8996 | 4421 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) |
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
re |
im |
(log.f64 base) |
base |
(*.f64 (atan2.f64 im re) #s(literal 0 binary64)) |
(atan2.f64 im re) |
#s(literal 0 binary64) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(log.f64 re) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) |
(sqrt.f64 (fma.f64 im im (*.f64 re re))) |
(fma.f64 im im (*.f64 re re)) |
(*.f64 re re) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) |
(*.f64 (log.f64 (fabs.f64 re)) (log.f64 base)) |
(log.f64 (fabs.f64 re)) |
(fabs.f64 re) |
(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)) |
(/.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(*.f64 (log.f64 base) (log.f64 base)) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (/ (log (sqrt (pow im 2))) (log base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 2)))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 4)))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 2)))))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 6)))) (* 1/4 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 4)))))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 2)))))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (pow im 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 2))) (* (log base) (log (sqrt (pow im 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow im 2)))) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ (log base) (pow (sqrt (pow im 2)) 2)))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow im 2)))) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow (sqrt (pow im 2)) 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow (sqrt (pow im 2)) 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 6)))))))))) |
#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 #s(hole binary64 re)) |
#s(approx (* (atan2 im re) 0) #s(hole binary64 0)) |
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re))) |
#s(approx (/ (log re) (log base)) #s(hole binary64 (/ (log re) (log base)))) |
#s(approx (log re) #s(hole binary64 (log re))) |
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (pow im 2))) |
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (+ (pow im 2) (pow re 2)))) |
#s(approx (* re re) #s(hole binary64 (pow re 2))) |
#s(approx (* (log (fabs re)) (log base)) #s(hole binary64 (* (log base) (log (fabs re))))) |
#s(approx (log (fabs re)) #s(hole binary64 (log (fabs re)))) |
#s(approx (fabs re) #s(hole binary64 (fabs re))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (* (pow (log base) 3) (log (sqrt (pow im 2)))))) |
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#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) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (* -1 (* (pow (log base) 3) (log (/ -1 im)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 3) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))))) |
#s(approx (log base) #s(hole binary64 (log base))) |
#s(approx base #s(hole binary64 base)) |
#s(approx (pow (log base) 2) #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 (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (* (pow (log base) 3) (log (sqrt (+ (pow im 2) (pow re 2))))))) |
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))) |
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base))))) |
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2))) |
#s(approx (/ (log re) (log base)) #s(hole binary64 (* -1 (/ (log re) (log (/ 1 base)))))) |
#s(approx (* (log (fabs re)) (log base)) #s(hole binary64 (* -1 (* (log (fabs re)) (log (/ 1 base)))))) |
#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 (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3))))) |
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))) |
(/.f64 (neg.f64 (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 0 binary64))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))) |
(+.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 0 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 0 binary64))))) |
(fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 0 binary64)) |
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) |
(-.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (neg.f64 (atan2.f64 im re)) #s(literal 0 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))) |
(+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 0 binary64)) |
(log.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)))) |
(log.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)) #s(literal 1 binary64))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(log.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) |
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) |
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64)) |
(/.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 (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 (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)))))) |
(/.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)))))) |
(sqrt.f64 (fma.f64 im im (*.f64 re re))) |
(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 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 (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 (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 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 (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 (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)) |
(hypot.f64 (fabs.f64 re) (fabs.f64 im)) |
(hypot.f64 (fabs.f64 re) im) |
(hypot.f64 (fabs.f64 im) (neg.f64 (neg.f64 re))) |
(hypot.f64 (fabs.f64 im) (exp.f64 (log.f64 (fabs.f64 re)))) |
(hypot.f64 (fabs.f64 im) (pow.f64 (neg.f64 re) #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 im) (neg.f64 (fabs.f64 re))) |
(hypot.f64 (fabs.f64 im) (neg.f64 re)) |
(hypot.f64 (fabs.f64 im) (fabs.f64 re)) |
(hypot.f64 (fabs.f64 im) re) |
(hypot.f64 im (neg.f64 (neg.f64 re))) |
(hypot.f64 im (exp.f64 (log.f64 (fabs.f64 re)))) |
(hypot.f64 im (pow.f64 (neg.f64 re) #s(literal 1 binary64))) |
(hypot.f64 im (neg.f64 (fabs.f64 re))) |
(hypot.f64 im (neg.f64 re)) |
(hypot.f64 im (fabs.f64 re)) |
(hypot.f64 im re) |
(hypot.f64 re (neg.f64 (neg.f64 im))) |
(hypot.f64 re (exp.f64 (log.f64 (fabs.f64 im)))) |
(hypot.f64 re (pow.f64 (neg.f64 im) #s(literal 1 binary64))) |
(hypot.f64 re (neg.f64 (fabs.f64 im))) |
(hypot.f64 re (neg.f64 im)) |
(hypot.f64 re (fabs.f64 im)) |
(hypot.f64 re im) |
(exp.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))) |
re |
im |
(pow.f64 (log.f64 base) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(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 |
#s(literal 0 binary64) |
(atan2.f64 im re) |
#s(literal 0 binary64) |
(*.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base)))) |
(*.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base)))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (exp.f64 (log.f64 (neg.f64 (log.f64 base))))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (log.f64 base)))) |
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base))) |
(*.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base)))) |
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base))) |
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) |
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 1 binary64)) |
(*.f64 (log.f64 base) (log.f64 base)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base))) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 1 binary64)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64))) (neg.f64 (+.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 (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 (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))))) |
(fma.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64)) |
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#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 (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (log.f64 (neg.f64 im)))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) (fma.f64 (*.f64 (*.f64 re re) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 im im))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (log.f64 (neg.f64 im))))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) (+.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (log.f64 (neg.f64 im))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 re re) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 im im))) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) (+.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (log.f64 (neg.f64 im))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 re re) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 im im))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))) |
#s(approx (log base) (log.f64 base)) |
#s(approx base base) |
#s(approx (pow (log base) 2) (*.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 (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))) |
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (neg.f64 (log.f64 base))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))) |
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base)))) |
#s(approx (pow (log base) 2) (*.f64 (log.f64 base) (log.f64 base))) |
#s(approx (/ (log re) (log base)) (/.f64 (log.f64 re) (log.f64 base))) |
#s(approx (* (log (fabs re)) (log base)) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (fabs.f64 re))))) |
#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 (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) 0) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))) |
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
Compiled 19 383 to 2 476 computations (87.2% saved)
28 alts after pruning (23 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 525 | 8 | 533 |
| Fresh | 2 | 15 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 529 | 28 | 557 |
| Status | Accuracy | Program |
|---|---|---|
| 56.1% | (/.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64))) | |
| 55.3% | (/.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| 47.5% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))) | |
| 99.1% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (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)))) | |
| ▶ | 99.3% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
| ▶ | 99.3% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 50.3% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base)))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) | |
| 56.0% | (/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| 9.7% | (/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (fabs.f64 re)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| 98.4% | (/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (fabs.f64 im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| ▶ | 9.7% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (/.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)))) |
| 9.7% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))) | |
| ✓ | 5.0% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
| 5.0% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| 98.5% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 re)))) (log.f64 base))) | |
| ✓ | 56.2% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) |
| 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) | |
| ✓ | 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) |
| 5.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))) | |
| ▶ | 98.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) |
| 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) | |
| 5.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))) | |
| ✓ | 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (log.f64 base))) |
| ▶ | 5.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (exp.f64 (log.f64 (log.f64 base))))) |
| 98.6% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) | |
| ✓ | 98.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
| 49.8% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))) |
Compiled 1 711 to 1 134 computations (33.7% saved)
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) |
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
re |
im |
(log.f64 base) |
base |
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 (fabs.f64 im)) (log.f64 base)) |
(log.f64 (fabs.f64 im)) |
(fabs.f64 im) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (exp.f64 (log.f64 (log.f64 base))))) |
(/.f64 (log.f64 re) (exp.f64 (log.f64 (log.f64 base)))) |
(log.f64 re) |
(exp.f64 (log.f64 (log.f64 base))) |
(log.f64 (log.f64 base)) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #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)) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (/.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)))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) |
(*.f64 (log.f64 (fabs.f64 re)) (log.f64 base)) |
(log.f64 (fabs.f64 re)) |
(fabs.f64 re) |
(/.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)) |
| Outputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (/ (log (sqrt (pow im 2))) (log base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 2)))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 4)))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 2)))))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (log base) (pow (sqrt (pow im 2)) 6)))) (* 1/4 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 4)))))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow im 2)) 2)))))) (/ (log (sqrt (pow im 2))) (log base))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (pow im 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 2))) (* (log base) (log (sqrt (pow im 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow im 2)))) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ (log base) (pow (sqrt (pow im 2)) 2)))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow im 2)))) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow (sqrt (pow im 2)) 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow (sqrt (pow im 2)) 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow (sqrt (pow im 2)) 6)))))))))) |
#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 #s(hole binary64 re)) |
#s(approx (* (atan2 im re) 0) #s(hole binary64 0)) |
#s(approx (/ (log re) (exp (log (log base)))) #s(hole binary64 (/ (log re) (log base)))) |
#s(approx (log re) #s(hole binary64 (log re))) |
#s(approx (* (log (fabs re)) (log base)) #s(hole binary64 (* (log base) (log (fabs re))))) |
#s(approx (log (fabs re)) #s(hole binary64 (log (fabs re)))) |
#s(approx (fabs re) #s(hole binary64 (fabs re))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (log (/ 1 re)) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 re)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (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 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (log (/ -1 re)) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 re)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (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 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (/ (log (sqrt (pow re 2))) (log base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* 1/2 (/ (pow im 2) (* (log base) (pow (sqrt (pow re 2)) 2)))) (/ (log (sqrt (pow re 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (log base) (pow (sqrt (pow re 2)) 4)))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow re 2)) 2)))))) (/ (log (sqrt (pow re 2))) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (log base) (pow (sqrt (pow re 2)) 6)))) (* 1/4 (/ 1 (* (log base) (pow (sqrt (pow re 2)) 4)))))) (* 1/2 (/ 1 (* (log base) (pow (sqrt (pow re 2)) 2)))))) (/ (log (sqrt (pow re 2))) (log base))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (pow re 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow (sqrt (pow re 2)) 2))) (* (log base) (log (sqrt (pow re 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow re 2)))) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ (log base) (pow (sqrt (pow re 2)) 2)))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log (sqrt (pow re 2)))) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow (sqrt (pow re 2)) 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow (sqrt (pow re 2)) 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow (sqrt (pow re 2)) 6)))))))))) |
#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)))))) |
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#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 im #s(hole binary64 im)) |
#s(approx (/ (log (fabs im)) (log base)) #s(hole binary64 (/ (log (fabs im)) (log base)))) |
#s(approx (log (fabs im)) #s(hole binary64 (log (fabs im)))) |
#s(approx (fabs im) #s(hole binary64 (fabs im))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (log (/ 1 im)) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 im)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (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 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))) |
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#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (log (/ -1 im)) (log base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 im)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (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))) |
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#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 (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))))) |
#s(approx (log base) #s(hole binary64 (log base))) |
#s(approx base #s(hole binary64 base)) |
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2))) |
#s(approx (log (log base)) #s(hole binary64 (log (log base)))) |
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (log base) 4))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))) |
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base))))) |
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2))) |
#s(approx (/ (log (fabs im)) (log base)) #s(hole binary64 (* -1 (/ (log (fabs im)) (log (/ 1 base)))))) |
#s(approx (/ (log re) (exp (log (log base)))) #s(hole binary64 (* -1 (/ (log re) (log (/ 1 base)))))) |
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base)))))) |
#s(approx (* (log (fabs re)) (log base)) #s(hole binary64 (* -1 (* (log (fabs re)) (log (/ 1 base)))))) |
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (log (/ 1 base)) 4))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 81.0ms | base | inf |
| 62.0ms | base | -inf |
| 56.0ms | base | 0 |
| 41.0ms | re | -inf |
| 38.0ms | re | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 568 | 4176 |
| 0 | 613 | 3458 |
| 1 | 3203 | 3422 |
| 0 | 8127 | 3245 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) |
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
re |
im |
(log.f64 base) |
base |
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 (fabs.f64 im)) (log.f64 base)) |
(log.f64 (fabs.f64 im)) |
(fabs.f64 im) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (exp.f64 (log.f64 (log.f64 base))))) |
(/.f64 (log.f64 re) (exp.f64 (log.f64 (log.f64 base)))) |
(log.f64 re) |
(exp.f64 (log.f64 (log.f64 base))) |
(log.f64 (log.f64 base)) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #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)) |
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#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 (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))))) |
#s(approx (log base) #s(hole binary64 (log base))) |
#s(approx base #s(hole binary64 base)) |
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2))) |
#s(approx (log (log base)) #s(hole binary64 (log (log base)))) |
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (log base) 4))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))) |
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base))))) |
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2))) |
#s(approx (/ (log (fabs im)) (log base)) #s(hole binary64 (* -1 (/ (log (fabs im)) (log (/ 1 base)))))) |
#s(approx (/ (log re) (exp (log (log base)))) #s(hole binary64 (* -1 (/ (log re) (log (/ 1 base)))))) |
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base)))))) |
#s(approx (* (log (fabs re)) (log base)) #s(hole binary64 (* -1 (* (log (fabs re)) (log (/ 1 base)))))) |
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (log (/ 1 base)) 4))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))) (neg.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))) |
(/.f64 (neg.f64 (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base))) |
(+.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 2 binary64)) (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))) (neg.f64 (-.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (*.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 2 binary64)) (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)))) (-.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)))) (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (*.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)))))) |
(fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) |
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) |
(+.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))) |
(+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(log.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) |
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) |
(pow.f64 (fma.f64 im im (*.f64 re re)) #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 im im (*.f64 re 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 (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 (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 (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 (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 (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 (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 (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 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 (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 (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)) |
(hypot.f64 (fabs.f64 re) (fabs.f64 im)) |
(hypot.f64 (fabs.f64 re) im) |
(hypot.f64 (fabs.f64 im) (neg.f64 (neg.f64 re))) |
(hypot.f64 (fabs.f64 im) (exp.f64 (log.f64 (fabs.f64 re)))) |
(hypot.f64 (fabs.f64 im) (pow.f64 (neg.f64 re) #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 im) (neg.f64 (fabs.f64 re))) |
(hypot.f64 (fabs.f64 im) (neg.f64 re)) |
(hypot.f64 (fabs.f64 im) (fabs.f64 re)) |
(hypot.f64 (fabs.f64 im) re) |
(hypot.f64 im (neg.f64 (neg.f64 re))) |
(hypot.f64 im (exp.f64 (log.f64 (fabs.f64 re)))) |
(hypot.f64 im (pow.f64 (neg.f64 re) #s(literal 1 binary64))) |
(hypot.f64 im (neg.f64 (fabs.f64 re))) |
(hypot.f64 im (neg.f64 re)) |
(hypot.f64 im (fabs.f64 re)) |
(hypot.f64 im re) |
(hypot.f64 re (neg.f64 (neg.f64 im))) |
(hypot.f64 re (exp.f64 (log.f64 (fabs.f64 im)))) |
(hypot.f64 re (pow.f64 (neg.f64 im) #s(literal 1 binary64))) |
(hypot.f64 re (neg.f64 (fabs.f64 im))) |
(hypot.f64 re (neg.f64 im)) |
(hypot.f64 re (fabs.f64 im)) |
(hypot.f64 re im) |
(exp.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))) |
re |
im |
(pow.f64 (log.f64 base) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (log.f64 base))) |
(+.f64 (/.f64 (+.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64)) (/.f64 (-.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))) |
(log.f64 base) |
base |
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(*.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base)))) |
(*.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base)))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (exp.f64 (log.f64 (neg.f64 (log.f64 base))))) |
(*.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base)))) |
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base))) |
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base))) |
(*.f64 (log.f64 base) (log.f64 base)) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 1 binary64)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64))) (neg.f64 (+.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 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64))) (neg.f64 (+.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 (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))) |
(/.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 (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 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (log.f64 base))) |
(fma.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64)) |
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64)) |
(-.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))) |
(-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) |
(fabs.f64 (*.f64 (log.f64 base) (log.f64 base))) |
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
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#s(literal 4 binary64) |
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#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 (exp.f64 (-.f64 (*.f64 (log.f64 re) #s(literal 6 binary64)) (*.f64 (log.f64 im) #s(literal 6 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 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (log.f64 base))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 base)))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (log.f64 base))) #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 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) (log.f64 base))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 base))))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))) (*.f64 (*.f64 (*.f64 re re) (/.f64 (log.f64 base) (*.f64 im im))) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))) (fma.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 re re) (/.f64 (log.f64 base) (*.f64 im im))) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))) (fma.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (log.f64 base)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/720 binary64) (*.f64 (*.f64 (*.f64 re re) (/.f64 (log.f64 base) (*.f64 im im))) #s(literal 1/2 binary64)))))) |
#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 (exp.f64 (-.f64 (*.f64 (log.f64 re) #s(literal 6 binary64)) (*.f64 (log.f64 im) #s(literal 6 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 (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))) |
#s(approx (log base) (log.f64 base)) |
#s(approx base base) |
#s(approx (pow (log base) 2) (*.f64 (log.f64 base) (log.f64 base))) |
#s(approx (log (log base)) (log.f64 (log.f64 base))) |
#s(approx (- (pow (log base) 4) 0) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (neg.f64 (log.f64 base))))) |
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))) |
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base)))) |
#s(approx (pow (log base) 2) (*.f64 (log.f64 base) (log.f64 base))) |
#s(approx (/ (log (fabs im)) (log base)) (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) |
#s(approx (/ (log re) (exp (log (log base)))) (/.f64 (log.f64 re) (log.f64 base))) |
#s(approx (log (log base)) (log.f64 (neg.f64 (neg.f64 (log.f64 base))))) |
#s(approx (* (log (fabs re)) (log base)) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (fabs.f64 re))))) |
#s(approx (- (pow (log base) 4) 0) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
Compiled 24 184 to 2 216 computations (90.8% saved)
32 alts after pruning (24 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 598 | 11 | 609 |
| Fresh | 5 | 13 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 605 | 32 | 637 |
| Status | Accuracy | Program |
|---|---|---|
| 56.1% | (/.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64))) | |
| 55.3% | (/.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| ✓ | 99.3% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
| 47.5% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))) | |
| 99.1% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) | |
| 99.3% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base))) | |
| 50.3% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base)))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) | |
| 56.0% | (/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| 5.0% | (/.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (-.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 (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)))))) | |
| 9.7% | (/.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))) | |
| 9.7% | (/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (fabs.f64 re)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| 98.4% | (/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (fabs.f64 im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| 9.7% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) | |
| 9.7% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) | |
| 9.7% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))) | |
| ✓ | 5.0% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
| 98.5% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| 9.7% | (*.f64 (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base))) | |
| 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 re)))) (log.f64 base))) | |
| 98.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 im))) (log.f64 base))) | |
| ✓ | 56.2% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) |
| 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) | |
| ✓ | 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) |
| 5.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))) | |
| ✓ | 98.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) |
| 49.8% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 im)) (exp.f64 (log.f64 (log.f64 base))))) | |
| 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) | |
| 5.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))) | |
| ✓ | 9.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (log.f64 base))) |
| ✓ | 5.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (exp.f64 (log.f64 (log.f64 base))))) |
| 98.6% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) | |
| ✓ | 98.7% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
Compiled 2 808 to 945 computations (66.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 im))) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 re)))) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (exp.f64 (log.f64 (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 im)) (exp.f64 (log.f64 (log.f64 base))))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (fabs.f64 im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (fabs.f64 re)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))) |
(*.f64 (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (/.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 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (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 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (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 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (log.f64 base)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))) |
(/.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re 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 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base)))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) im)) (log.f64 base)) (*.f64 (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 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (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 (fma.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (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 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base)))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (-.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 (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 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
5 calls:
| 136.0ms | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (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)))) |
| 19.0ms | im |
| 16.0ms | base |
| 13.0ms | re |
| 13.0ms | (log.f64 base) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (log.f64 base) |
| 99.3% | 1 | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (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)))) |
| 99.3% | 1 | re |
| 99.3% | 1 | im |
| 99.3% | 1 | base |
Compiled 33 to 31 computations (6.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 im))) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 re)))) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (exp.f64 (log.f64 (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 im)) (exp.f64 (log.f64 (log.f64 base))))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base))) |
5 calls:
| 10.0ms | base |
| 5.0ms | (log.f64 base) |
| 5.0ms | im |
| 5.0ms | re |
| 5.0ms | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (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)))) |
| 99.3% | 1 | re |
| 99.3% | 1 | im |
| 99.3% | 1 | (log.f64 base) |
| 99.3% | 1 | base |
Compiled 33 to 31 computations (6.1% saved)
Total -60.8b remaining (-7147.5%)
Threshold costs -60.8b (-7147.5%)
| Inputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 im))) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 re)))) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (exp.f64 (log.f64 (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 im)) (exp.f64 (log.f64 (log.f64 base))))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (fabs.f64 re)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 im)) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 (fabs.f64 re)) (log.f64 base))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
5 calls:
| 14.0ms | base |
| 5.0ms | im |
| 5.0ms | (log.f64 base) |
| 5.0ms | re |
| 5.0ms | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (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)))) |
| 98.7% | 1 | re |
| 98.7% | 1 | im |
| 98.7% | 1 | (log.f64 base) |
| 98.7% | 1 | base |
Compiled 33 to 31 computations (6.1% saved)
| 1× | fuel |
Compiled 75 to 33 computations (56% saved)
Compiled 553 to 369 computations (33.3% saved)
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