
Time bar (total: 3.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 3.2% | 96.8% | 0% | 0% | 0% | 0 |
| 100% | 3.2% | 0% | 96.8% | 0% | 0% | 0% | 1 |
Compiled 15 to 10 computations (33.3% saved)
| 1.2s | 7 488× | 1 | valid |
| 42.0ms | 768× | 0 | valid |
ival-log: 339.0ms (35.6% of total)ival-log1p: 328.0ms (34.5% of total)adjust: 230.0ms (24.2% of total)ival-sub!: 55.0ms (5.8% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 23 |
| 1 | 33 | 20 |
| 2 | 89 | 18 |
| 3 | 362 | 18 |
| 4 | 3069 | 18 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 27.6% | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 12 to 12 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 451 |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(log.f64 (+.f64 N #s(literal 1 binary64))) |
(+.f64 N #s(literal 1 binary64)) |
N |
#s(literal 1 binary64) |
(log.f64 N) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (log.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))) (log.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N))) |
#s(approx (log (+ N 1)) N) |
#s(approx (log (+ N 1)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N)))) |
#s(approx (log (+ N 1)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))))) |
#s(approx (log (+ N 1)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) N))) #s(literal 1/2 binary64)))))) |
#s(approx (+ N 1) #s(literal 1 binary64)) |
#s(approx (+ N 1) (+.f64 #s(literal 1 binary64) N)) |
#s(approx (log N) (log.f64 N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)) |
#s(approx (log (+ N 1)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)))) |
#s(approx (log (+ N 1)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (log (+ N 1)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 2 binary64))))) |
#s(approx (log (+ N 1)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 2 binary64))))) |
#s(approx (+ N 1) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal -1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N)) #s(literal 1/2 binary64)) N))) N))) |
#s(approx (log (+ N 1)) (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (log (+ N 1)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)))) |
#s(approx (log (+ N 1)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) N)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | N | @ | 0 | ((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N)) |
| 14.0ms | N | @ | inf | ((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N)) |
| 7.0ms | N | @ | -inf | ((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 17 |
| 1 | 54 | 17 |
| 2 | 137 | 17 |
| 3 | 437 | 17 |
| 4 | 2367 | 17 |
| 0 | 8230 | 13 |
| 1 | 16728 | 13 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(log.f64 (+.f64 N #s(literal 1 binary64))) |
(+.f64 N #s(literal 1 binary64)) |
N |
#s(literal 1 binary64) |
(log.f64 N) |
| Outputs |
|---|
(log1p.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (neg.f64 N) N))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
(-.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64))))) |
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) |
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64)))) |
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))) |
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N))) (/.f64 #s(literal 1 binary64) N))) |
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N))) N)) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(log1p.f64 N) |
(neg.f64 (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N)))) |
(log.f64 (-.f64 N #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) |
(*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N)) (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) (neg.f64 N))) (neg.f64 N)) |
(/.f64 (-.f64 (fma.f64 N (neg.f64 N) (neg.f64 N)) (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) (neg.f64 N))) (neg.f64 N)) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) (neg.f64 N)) (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 N)) (*.f64 #s(literal 2 binary64) (neg.f64 N)))) (*.f64 #s(literal 2 binary64) (neg.f64 N))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) N) #s(literal 0 binary64)) (+.f64 N N)) |
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (fma.f64 N #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (-.f64 (*.f64 N #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N)) #s(literal 0 binary64)) (neg.f64 N)) |
(/.f64 (-.f64 (fma.f64 N (neg.f64 N) (neg.f64 N)) #s(literal 0 binary64)) (neg.f64 N)) |
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 0 binary64)) N) |
(/.f64 (-.f64 (fma.f64 N N N) #s(literal 0 binary64)) N) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N))) N) |
(/.f64 (neg.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (neg.f64 N)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 N #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 N #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) (neg.f64 N))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 N)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) N)) (neg.f64 (+.f64 N N))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (fma.f64 N (neg.f64 N) (neg.f64 N))) N) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N)) (neg.f64 N)) |
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) |
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 N #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (fma.f64 N (neg.f64 N) (neg.f64 N)) (neg.f64 N)) |
(/.f64 (-.f64 (*.f64 N #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 N) N) N) (neg.f64 N)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (neg.f64 N) (*.f64 N N)) (-.f64 #s(literal 0 binary64) N)) |
(/.f64 (-.f64 (neg.f64 N) (*.f64 N N)) (neg.f64 N)) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 N #s(literal -2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 N N)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) N) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 N (neg.f64 N)) N) (neg.f64 N)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) (neg.f64 N)) (*.f64 #s(literal 2 binary64) (neg.f64 N))) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) N) (+.f64 N N)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (fma.f64 N N N)) (neg.f64 N)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 N N N) N) |
(/.f64 (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal -1 binary64) N)) |
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) N) (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) N) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 N #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) |
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))) |
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))) |
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)) |
(-.f64 (/.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 N) N) N)) |
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 N N)) N)) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 N)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 N) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 N))) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) |
(-.f64 #s(literal 1 binary64) (neg.f64 N)) |
(-.f64 N (/.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64)) N)) |
(-.f64 N #s(literal -1 binary64)) |
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (+.f64 N #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64))) |
(+.f64 (+.f64 N #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)) (-.f64 N #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 N #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 N #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 N)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) N)) |
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 N))) |
(+.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))) |
(+.f64 (-.f64 N #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(+.f64 (-.f64 N #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))) |
(+.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))) |
(+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 N (/.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64)) N)) |
(+.f64 N #s(literal 1 binary64)) |
N |
#s(literal 1 binary64) |
(neg.f64 (neg.f64 (log.f64 N))) |
(log.f64 N) |
Compiled 1 220 to 702 computations (42.5% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 180 | 8 | 188 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 181 | 8 | 189 |
| Status | Accuracy | Program |
|---|---|---|
| 31.0% | (neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) | |
| ▶ | 99.6% | (log1p.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (neg.f64 N) N))) |
| ▶ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| 30.4% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) | |
| ▶ | 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)) |
| 94.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) | |
| ▶ | 90.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
| ▶ | 81.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
Compiled 172 to 170 computations (1.2% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 985 |
| 1× | iter-limit |
| Inputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) |
#s(literal 1/2 binary64) |
(log1p.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (neg.f64 N) N))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (neg.f64 N) N)) |
(*.f64 #s(literal 1 binary64) (neg.f64 N)) |
(neg.f64 N) |
(*.f64 (neg.f64 N) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 N #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) |
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) |
#s(literal 1/4 binary64) |
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) |
(pow.f64 N #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (log (+ 1 (/ 1 N))) (*.f64 #s(literal -1 binary64) (log.f64 N))) |
#s(approx (log (+ 1 (/ 1 N))) (+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N)))) |
#s(approx (log (+ 1 (/ 1 N))) (fma.f64 #s(literal -1 binary64) (log.f64 N) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))))) |
#s(approx (log (+ 1 (/ 1 N))) (fma.f64 #s(literal -1 binary64) (log.f64 N) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))))) |
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N)) |
#s(approx N N) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))) (log.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N))) |
#s(approx (/ (- 1 (* 1/2 (/ 1 N))) N) (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (/ (- 1 (* 1/2 (/ 1 N))) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (- 1 (* 1/2 (/ 1 N))) (/.f64 #s(literal -1/2 binary64) N)) |
#s(approx (- 1 (* 1/2 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) |
#s(approx (* 1/2 (/ 1 N)) (/.f64 #s(literal 1/2 binary64) N)) |
#s(approx (* 1 (neg N)) (*.f64 #s(literal -1 binary64) N)) |
#s(approx (* (neg N) N) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))) |
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))) |
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))) |
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (+ 1 (/ 1/3 (pow N 2))) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (+ 1 (/ 1/3 (pow N 2))) (/.f64 (+.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (pow N 2) (pow.f64 N #s(literal 2 binary64))) |
#s(approx (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 2 binary64)))) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (/ 1 (pow N 3)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (pow N 3) (pow.f64 N #s(literal 3 binary64))) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)) |
#s(approx (- 1 (* 1/2 (/ 1 N))) #s(literal 1 binary64)) |
#s(approx (- 1 (* 1/2 (/ 1 N))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))))) |
#s(approx (+ 1 (/ 1/3 (pow N 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))) |
#s(approx (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) N)) |
#s(approx (log (+ 1 (/ 1 N))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))) |
#s(approx (log (+ 1 (/ 1 N))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))) |
#s(approx (log (+ 1 (/ 1 N))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal -1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N)) #s(literal 1/2 binary64)) N))) N))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N))) N)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | N | @ | 0 | ((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (* 1/2 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) 1/2 (log (+ 1 (/ (* 1 (neg N)) (* (neg N) N)))) (/ (* 1 (neg N)) (* (neg N) N)) (* 1 (neg N)) (neg N) (* (neg N) N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (/ 1/3 (pow N 2))) (/ 1/3 (pow N 2)) 1/3 (pow N 2) 2 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (* 1/4 (/ 1 (pow N 3))) 1/4 (/ 1 (pow N 3)) (pow N 3) 3) |
| 3.0ms | N | @ | -inf | ((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (* 1/2 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) 1/2 (log (+ 1 (/ (* 1 (neg N)) (* (neg N) N)))) (/ (* 1 (neg N)) (* (neg N) N)) (* 1 (neg N)) (neg N) (* (neg N) N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (/ 1/3 (pow N 2))) (/ 1/3 (pow N 2)) 1/3 (pow N 2) 2 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (* 1/4 (/ 1 (pow N 3))) 1/4 (/ 1 (pow N 3)) (pow N 3) 3) |
| 3.0ms | N | @ | inf | ((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (* 1/2 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) 1/2 (log (+ 1 (/ (* 1 (neg N)) (* (neg N) N)))) (/ (* 1 (neg N)) (* (neg N) N)) (* 1 (neg N)) (neg N) (* (neg N) N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (/ 1/3 (pow N 2))) (/ 1/3 (pow N 2)) 1/3 (pow N 2) 2 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (* 1/4 (/ 1 (pow N 3))) 1/4 (/ 1 (pow N 3)) (pow N 3) 3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 206 |
| 0 | 54 | 165 |
| 1 | 301 | 159 |
| 2 | 1280 | 153 |
| 0 | 8471 | 148 |
| 1 | 21813 | 148 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) |
#s(literal 1/2 binary64) |
(log1p.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (neg.f64 N) N))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (neg.f64 N) N)) |
(*.f64 #s(literal 1 binary64) (neg.f64 N)) |
(neg.f64 N) |
(*.f64 (neg.f64 N) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 N #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) |
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) |
#s(literal 1/4 binary64) |
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) |
(pow.f64 N #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(log1p.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) N))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
(-.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64))))) |
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) |
(+.f64 (neg.f64 (log.f64 N)) (neg.f64 (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))))) |
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64)))) |
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))) |
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 N (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) |
(*.f64 (/.f64 N (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 N)) (/.f64 (neg.f64 N) (fabs.f64 N))) |
(*.f64 (/.f64 (neg.f64 N) (fabs.f64 N)) (/.f64 #s(literal -1 binary64) (fabs.f64 N))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 N (fabs.f64 N))) |
(*.f64 (/.f64 (neg.f64 N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) |
(*.f64 (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) |
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (neg.f64 N) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (neg.f64 N)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N))) |
(*.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (*.f64 N N))) |
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(*.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 (/.f64 N (fabs.f64 N)) (fabs.f64 N)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 N)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N))) |
(/.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (*.f64 N N))) |
(/.f64 (*.f64 (neg.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64))) |
(/.f64 (*.f64 N #s(literal 2 binary64)) (*.f64 (*.f64 N N) #s(literal 2 binary64))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N))) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 N) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)) |
(/.f64 #s(literal -1 binary64) (neg.f64 N)) |
(/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N)) |
(/.f64 #s(literal 2 binary64) (*.f64 N #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 N) N) (*.f64 (*.f64 (neg.f64 N) N) N)) |
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N)) |
(/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(/.f64 N (*.f64 N N)) |
(/.f64 #s(literal 1 binary64) N) |
(neg.f64 (/.f64 #s(literal -1 binary64) N)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 N (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 N (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 N (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 N (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 N (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 N (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 N)) (/.f64 (neg.f64 N) (fabs.f64 N)) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 N)) (/.f64 (neg.f64 N) (fabs.f64 N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 N)) (/.f64 (neg.f64 N) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 (neg.f64 N) (fabs.f64 N)) (/.f64 #s(literal -1 binary64) (fabs.f64 N)) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (neg.f64 N) (fabs.f64 N)) (/.f64 #s(literal -1 binary64) (fabs.f64 N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 (neg.f64 N) (fabs.f64 N)) (/.f64 #s(literal -1 binary64) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 N (fabs.f64 N)) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 N (fabs.f64 N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 N (fabs.f64 N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 (neg.f64 N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (neg.f64 N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 (neg.f64 N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (neg.f64 N) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (neg.f64 N) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (neg.f64 N) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (neg.f64 N) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (neg.f64 N) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (neg.f64 N) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (*.f64 N N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) |
(fma.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
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(fma.f64 (neg.f64 N) (/.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N))) |
(fma.f64 (neg.f64 N) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (*.f64 N N)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 N) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (*.f64 N N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))) |
(fma.f64 (neg.f64 N) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N))) |
(fma.f64 N (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 0 binary64))) |
(fma.f64 N (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))) |
(fma.f64 N (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 0 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 N N) N))) |
(*.f64 (*.f64 N (fabs.f64 N)) (fabs.f64 N)) |
(*.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) N)) |
(*.f64 (*.f64 (*.f64 (neg.f64 N) N) N) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 N) N) N)) |
(*.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) |
(*.f64 (*.f64 N N) N) |
(*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N)) |
(*.f64 (neg.f64 N) (*.f64 (neg.f64 N) N)) |
(*.f64 N (*.f64 N N)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) |
(pow.f64 N #s(literal 3 binary64)) |
(neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N)) |
#s(literal 3 binary64) |
Compiled 17 657 to 6 997 computations (60.4% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 810 | 13 | 1 823 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 814 | 17 | 1 831 |
| Status | Accuracy | Program |
|---|---|---|
| 31.0% | (neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) | |
| 99.3% | (log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))) | |
| 99.6% | (log1p.f64 (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) | |
| ▶ | 99.6% | (log1p.f64 (/.f64 N (*.f64 N N))) |
| ✓ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| 99.4% | (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N)) | |
| ▶ | 30.4% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
| ▶ | 90.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N))) |
| 90.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)) | |
| 90.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N))) | |
| 90.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) | |
| 81.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) | |
| 94.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)))) N)) | |
| ▶ | 81.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
| ✓ | 81.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| ▶ | 90.9% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
| 90.6% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 N #s(literal 1/2 binary64)))) |
Compiled 351 to 341 computations (2.8% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 564 |
| 1× | iter-limit |
| Inputs |
|---|
(log1p.f64 (/.f64 N (*.f64 N N))) |
(/.f64 N (*.f64 N N)) |
N |
(*.f64 N N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 N #s(literal -1 binary64)) N) |
(-.f64 N #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 N N)) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N))) |
(/.f64 (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N)) |
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) (neg.f64 N)) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) |
(-.f64 N #s(literal 1/2 binary64)) |
(neg.f64 N) |
(/.f64 #s(literal -1 binary64) N) |
| Outputs |
|---|
#s(approx (log (+ 1 (/ N (* N N)))) (*.f64 #s(literal -1 binary64) (log.f64 N))) |
#s(approx (log (+ 1 (/ N (* N N)))) (+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N)))) |
#s(approx (log (+ 1 (/ N (* N N)))) (fma.f64 #s(literal -1 binary64) (log.f64 N) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))))) |
#s(approx (log (+ 1 (/ N (* N N)))) (fma.f64 #s(literal -1 binary64) (log.f64 N) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))))) |
#s(approx (/ N (* N N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx N N) |
#s(approx (* N N) (pow.f64 N #s(literal 2 binary64))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))) (log.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N))) |
#s(approx (/ (- N -1) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
#s(approx (- N -1) #s(literal 1 binary64)) |
#s(approx (- N -1) (+.f64 #s(literal 1 binary64) N)) |
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (/ 1/2 (* N N)) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (/ (/ (- N 1/2) (* N N)) (neg N)) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (/ (/ (- N 1/2) (* N N)) (neg N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) N)) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (- N 1/2) #s(literal -1/2 binary64)) |
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64))) |
#s(approx (neg N) (*.f64 #s(literal -1 binary64) N)) |
#s(approx (/ -1 N) (/.f64 #s(literal -1 binary64) N)) |
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)) |
#s(approx (/ (- N -1) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (- N -1) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))) |
#s(approx (/ (/ (- N 1/2) (* N N)) (neg N)) (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (/ (/ (- N 1/2) (* N N)) (neg N)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (- N 1/2) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))) |
#s(approx (log (+ 1 (/ N (* N N)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))) |
#s(approx (log (+ 1 (/ N (* N N)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))) |
#s(approx (log (+ 1 (/ N (* N N)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N)) #s(literal 1/2 binary64)) N))) N))) |
#s(approx (- N 1/2) (*.f64 #s(literal -1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | N | @ | -inf | ((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (/ (/ (- N 1/2) (* N N)) (neg N)) (/ -1 N)) (/ (/ (- N 1/2) (* N N)) (neg N)) (/ (- N 1/2) (* N N)) (- N 1/2) (neg N) (/ -1 N)) |
| 2.0ms | N | @ | 0 | ((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (/ (/ (- N 1/2) (* N N)) (neg N)) (/ -1 N)) (/ (/ (- N 1/2) (* N N)) (neg N)) (/ (- N 1/2) (* N N)) (- N 1/2) (neg N) (/ -1 N)) |
| 2.0ms | N | @ | inf | ((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (/ (/ (- N 1/2) (* N N)) (neg N)) (/ -1 N)) (/ (/ (- N 1/2) (* N N)) (neg N)) (/ (- N 1/2) (* N N)) (- N 1/2) (neg N) (/ -1 N)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 140 |
| 0 | 42 | 131 |
| 1 | 230 | 102 |
| 2 | 1089 | 102 |
| 3 | 7303 | 102 |
| 0 | 8518 | 102 |
| 1 | 16597 | 102 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(log1p.f64 (/.f64 N (*.f64 N N))) |
(/.f64 N (*.f64 N N)) |
N |
(*.f64 N N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 N #s(literal -1 binary64)) N) |
(-.f64 N #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 N N)) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N))) |
(/.f64 (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N)) |
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) (neg.f64 N)) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) |
(-.f64 N #s(literal 1/2 binary64)) |
(neg.f64 N) |
(/.f64 #s(literal -1 binary64) N) |
| Outputs |
|---|
(log1p.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))) |
(log1p.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) N))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
(-.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64))))) |
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) |
(+.f64 (neg.f64 (log.f64 N)) (neg.f64 (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))))) |
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64)))) |
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))) |
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) N)))) |
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (fabs.f64 N) N) (/.f64 (fabs.f64 N) (*.f64 N N))) |
(*.f64 (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (fabs.f64 N))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (neg.f64 N)) |
(*.f64 (neg.f64 (fabs.f64 N)) (/.f64 (neg.f64 (fabs.f64 N)) (*.f64 (*.f64 N N) N))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N) |
(*.f64 (fabs.f64 N) (/.f64 (fabs.f64 N) (*.f64 (*.f64 N N) N))) |
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) |
(*.f64 (neg.f64 N) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (*.f64 N N))) |
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) |
(*.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N))) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 N N) (*.f64 (fabs.f64 N) N)) (fabs.f64 N)) |
(/.f64 (/.f64 N (neg.f64 (fabs.f64 N))) (neg.f64 (fabs.f64 N))) |
(/.f64 (/.f64 (neg.f64 N) (fabs.f64 N)) (neg.f64 (fabs.f64 N))) |
(/.f64 (*.f64 (copysign.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (fabs.f64 N)) |
(/.f64 (*.f64 #s(literal 1 binary64) (copysign.f64 #s(literal 1 binary64) N)) (fabs.f64 N)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) N) (fabs.f64 N)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) |
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(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) |
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(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)) (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
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(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N)) (neg.f64 N))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1 binary64) N))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) #s(literal 2 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
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(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1 binary64) N))) |
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(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N))) |
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(fma.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64))) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 N N) N)))) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64))) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 N N) N)))) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64))) |
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(fma.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 N N) N)) #s(literal 0 binary64))) |
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(fma.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64))) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 N N) N)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1 binary64) (*.f64 N N))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1 binary64) (*.f64 N N))) |
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(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 N N) N))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) |
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(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) |
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(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal 1/2 binary64) N) N) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)) (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N)) (neg.f64 N))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) N))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1 binary64) N))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (neg.f64 N) N) (*.f64 (neg.f64 N) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (neg.f64 N) N) (*.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (neg.f64 N) N) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) N))) |
(fma.f64 #s(literal -1 binary64) N (*.f64 (neg.f64 N) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) N (*.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 #s(literal -1 binary64) N (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) N))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 N) (*.f64 (neg.f64 N) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 N) (*.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 N) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) N))) |
(fma.f64 (*.f64 N N) (/.f64 #s(literal -1 binary64) N) (*.f64 (neg.f64 N) #s(literal 0 binary64))) |
(fma.f64 (*.f64 N N) (/.f64 #s(literal -1 binary64) N) (*.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 (*.f64 N N) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) N))) |
(fma.f64 N #s(literal -1 binary64) (*.f64 (neg.f64 N) #s(literal 0 binary64))) |
(fma.f64 N #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 N #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) N))) |
(+.f64 (neg.f64 N) (*.f64 (neg.f64 N) #s(literal 0 binary64))) |
(+.f64 (neg.f64 N) (*.f64 #s(literal 0 binary64) (neg.f64 N))) |
(+.f64 (neg.f64 N) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) N))) |
(+.f64 N (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) N))) |
(+.f64 N (*.f64 (neg.f64 N) #s(literal 2 binary64))) |
(+.f64 N (*.f64 #s(literal 2 binary64) (neg.f64 N))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) N) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 N N)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 (neg.f64 N) N)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (neg.f64 N)) |
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) |
(*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 N N))) |
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) |
(*.f64 N (/.f64 #s(literal -1 binary64) (*.f64 N N))) |
(pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 N) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (fabs.f64 N))) (fabs.f64 N)) |
(/.f64 (*.f64 #s(literal -1 binary64) (copysign.f64 #s(literal 1 binary64) N)) (fabs.f64 N)) |
(/.f64 (/.f64 N (neg.f64 (fabs.f64 N))) (fabs.f64 N)) |
(/.f64 (/.f64 (neg.f64 N) (fabs.f64 N)) (fabs.f64 N)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (copysign.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (fabs.f64 N)) |
(/.f64 (neg.f64 (copysign.f64 #s(literal 1 binary64) N)) (fabs.f64 N)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (*.f64 (fabs.f64 N) (/.f64 #s(literal -1 binary64) N))) |
(/.f64 (copysign.f64 #s(literal 1 binary64) N) (neg.f64 (fabs.f64 N))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1 binary64) (*.f64 N N))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N))) |
(/.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) |
(/.f64 (neg.f64 N) (*.f64 N N)) |
(/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) N) |
(/.f64 #s(literal 1 binary64) (neg.f64 N)) |
(/.f64 N (*.f64 (neg.f64 N) N)) |
(neg.f64 (/.f64 #s(literal 1 binary64) N)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) N (/.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 (/.f64 (fabs.f64 N) N) (/.f64 (fabs.f64 N) (*.f64 N N)) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(fma.f64 (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 N N) (/.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 (neg.f64 N) N) (/.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (neg.f64 N) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) N (/.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 (neg.f64 (fabs.f64 N)) (/.f64 (neg.f64 (fabs.f64 N)) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (neg.f64 N) (/.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(fma.f64 (fabs.f64 N) (/.f64 (fabs.f64 N) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 (neg.f64 N) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(fma.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(fma.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(fma.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(fma.f64 N (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (neg.f64 N))) |
(fma.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
(+.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 N))) |
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 2 binary64) (neg.f64 N))) |
Compiled 15 841 to 5 453 computations (65.6% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 927 | 5 | 1 932 |
| Fresh | 2 | 8 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 931 | 18 | 1 949 |
| Status | Accuracy | Program |
|---|---|---|
| 31.0% | (neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) | |
| 99.4% | (log1p.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) N (/.f64 #s(literal 2 binary64) N))) | |
| 99.3% | (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))) | |
| ▶ | 99.6% | (log1p.f64 (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) |
| ✓ | 99.6% | (log1p.f64 (/.f64 N (*.f64 N N))) |
| ✓ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| 99.4% | (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N)) | |
| 30.4% | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) | |
| 90.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)) N) (/.f64 #s(literal -1 binary64) N))) | |
| 90.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)) | |
| ▶ | 90.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
| 81.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) | |
| ▶ | 94.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)))) N)) |
| ✓ | 81.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
| ✓ | 81.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 90.9% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
| ▶ | 90.5% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 (*.f64 N N) N)) N)) |
| ▶ | 90.6% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 N #s(literal 1/2 binary64)))) |
Compiled 333 to 329 computations (1.2% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 1276 |
| 1× | iter-limit |
| Inputs |
|---|
(log1p.f64 (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) |
(/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)) |
(*.f64 N N) |
N |
(*.f64 (*.f64 N N) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) |
(-.f64 N #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 N #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 N #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N N)) |
#s(literal 1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 (*.f64 N N) N)) N)) |
(*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 (*.f64 N N) N)) N) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 (*.f64 N N) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)))) N)) |
(/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)))) N) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
#s(literal -1 binary64) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1 binary64) N) |
| Outputs |
|---|
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (*.f64 #s(literal -1 binary64) (log.f64 N))) |
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N)))) |
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (fma.f64 #s(literal -1 binary64) (log.f64 N) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))))) |
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (fma.f64 #s(literal -1 binary64) (log.f64 N) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))))) |
#s(approx (/ (* N N) (* (* N N) N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (* N N) (pow.f64 N #s(literal 2 binary64))) |
#s(approx N N) |
#s(approx (* (* N N) N) (pow.f64 N #s(literal 3 binary64))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) N))) (log.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N))) |
#s(approx (/ (- N 1/2) (* N N)) (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (- N 1/2) #s(literal -1/2 binary64)) |
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64))) |
#s(approx (/ 1 (* N N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (/ (- N 1/2) (* (* N N) N)) (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (/ (- N 1/2) (* (* N N) N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))) |
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))) |
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))) |
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) |
#s(approx (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64)))) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (/ (- 1/2 (* 1/3 (/ 1 N))) N) (/.f64 #s(literal -1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (/ (- 1/2 (* 1/3 (/ 1 N))) N) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (- 1/2 (* 1/3 (/ 1 N))) (/.f64 #s(literal -1/3 binary64) N)) |
#s(approx (- 1/2 (* 1/3 (/ 1 N))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64)) N)) |
#s(approx (* 1/3 (/ 1 N)) (/.f64 #s(literal 1/3 binary64) N)) |
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)) |
#s(approx (- N 1/2) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))) |
#s(approx (/ (- N 1/2) (* (* N N) N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal 2 binary64)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) #s(literal 1 binary64)) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))))) |
#s(approx (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) (/.f64 #s(literal -1/2 binary64) N)) |
#s(approx (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) |
#s(approx (/ (- 1/2 (* 1/3 (/ 1 N))) N) (/.f64 #s(literal 1/2 binary64) N)) |
#s(approx (/ (- 1/2 (* 1/3 (/ 1 N))) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
#s(approx (- 1/2 (* 1/3 (/ 1 N))) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 (* 1/3 (/ 1 N))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)))) |
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))) |
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))) |
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal -1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N)) #s(literal 1/2 binary64)) N))) N))) |
#s(approx (- N 1/2) (*.f64 #s(literal -1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)))) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))) N))) N)))) |
#s(approx (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))) |
#s(approx (/ (- 1/2 (* 1/3 (/ 1 N))) N) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | N | @ | -inf | ((log (+ 1 (/ (* N N) (* (* N N) N)))) (/ (* N N) (* (* N N) N)) (* N N) N (* (* N N) N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 (* N N)) (- N 1/2)) (/ 1 (* N N)) 1 (- (log (+ N 1)) (log N)) (* (/ (- N 1/2) (* (* N N) N)) N) (/ (- N 1/2) (* (* N N) N)) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N) (- 1/2 (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N)) 1/3 (/ 1 N)) |
| 2.0ms | N | @ | 0 | ((log (+ 1 (/ (* N N) (* (* N N) N)))) (/ (* N N) (* (* N N) N)) (* N N) N (* (* N N) N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 (* N N)) (- N 1/2)) (/ 1 (* N N)) 1 (- (log (+ N 1)) (log N)) (* (/ (- N 1/2) (* (* N N) N)) N) (/ (- N 1/2) (* (* N N) N)) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N) (- 1/2 (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N)) 1/3 (/ 1 N)) |
| 2.0ms | N | @ | inf | ((log (+ 1 (/ (* N N) (* (* N N) N)))) (/ (* N N) (* (* N N) N)) (* N N) N (* (* N N) N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 (* N N)) (- N 1/2)) (/ 1 (* N N)) 1 (- (log (+ N 1)) (log N)) (* (/ (- N 1/2) (* (* N N) N)) N) (/ (- N 1/2) (* (* N N) N)) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N) (- 1/2 (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N)) 1/3 (/ 1 N)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 292 |
| 0 | 62 | 239 |
| 1 | 351 | 206 |
| 2 | 1601 | 206 |
| 0 | 8127 | 206 |
| 1 | 24522 | 206 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(log1p.f64 (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) |
(/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)) |
(*.f64 N N) |
N |
(*.f64 (*.f64 N N) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) |
(-.f64 N #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 N #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 N #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N N)) |
#s(literal 1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 (*.f64 N N) N)) N)) |
(*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 (*.f64 N N) N)) N) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 (*.f64 N N) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)))) N)) |
(/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)))) N) |
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
#s(literal -1 binary64) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1 binary64) N) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (neg.f64 (log.f64 N)))) |
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) |
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64)))) |
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))) |
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal -1 binary64)))) |
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (copysign.f64 #s(literal 1 binary64) N)) |
(*.f64 (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (fabs.f64 N))) |
(*.f64 (/.f64 N (*.f64 (neg.f64 N) N)) (/.f64 (neg.f64 N) N)) |
(*.f64 (/.f64 (neg.f64 N) N) (/.f64 N (*.f64 (neg.f64 N) N))) |
(*.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N))) |
(*.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))) |
(*.f64 (fabs.f64 N) (/.f64 (fabs.f64 N) (*.f64 (*.f64 N N) N))) |
(*.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))) |
(*.f64 (neg.f64 N) (/.f64 (neg.f64 N) (*.f64 (*.f64 N N) N))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 N N)) |
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) |
(*.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N))) |
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))) |
(/.f64 (neg.f64 (/.f64 (*.f64 N N) N)) (*.f64 (neg.f64 N) N)) |
(/.f64 (neg.f64 (*.f64 N #s(literal 1 binary64))) (*.f64 (neg.f64 N) N)) |
(/.f64 (neg.f64 (/.f64 N (neg.f64 N))) (neg.f64 (neg.f64 N))) |
(/.f64 (neg.f64 (copysign.f64 #s(literal 1 binary64) N)) (neg.f64 (fabs.f64 N))) |
(/.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 N) N) N)) |
(/.f64 (/.f64 (*.f64 N N) N) (*.f64 N N)) |
(/.f64 (*.f64 N #s(literal 1 binary64)) (*.f64 N N)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 N N)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) N)) |
(/.f64 (/.f64 N (neg.f64 N)) (neg.f64 N)) |
(/.f64 (copysign.f64 #s(literal 1 binary64) N) (fabs.f64 N)) |
(/.f64 (neg.f64 (neg.f64 N)) (*.f64 N N)) |
(/.f64 (*.f64 (neg.f64 N) N) (neg.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N)))) |
(/.f64 (*.f64 (neg.f64 N) N) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N))) |
(/.f64 (*.f64 (neg.f64 N) N) (*.f64 (*.f64 (neg.f64 N) N) N)) |
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 N)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (*.f64 N N) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))) |
(/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)) |
(/.f64 N (*.f64 N N)) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N))) |
(neg.f64 (/.f64 #s(literal -1 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 N (*.f64 (neg.f64 N) N)) (/.f64 (neg.f64 N) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (/.f64 N (*.f64 (neg.f64 N) N)) (/.f64 (neg.f64 N) N) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 (neg.f64 N) N) (/.f64 N (*.f64 (neg.f64 N) N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (/.f64 (neg.f64 N) N) (/.f64 N (*.f64 (neg.f64 N) N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (fabs.f64 N) (/.f64 (fabs.f64 N) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (fabs.f64 N) (/.f64 (fabs.f64 N) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (neg.f64 N) (/.f64 (neg.f64 N) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (neg.f64 N) (/.f64 (neg.f64 N) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 N N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 N N) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N) (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) N)) (neg.f64 N))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N) (/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1 binary64)) (neg.f64 N))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N) (/.f64 (/.f64 #s(literal -1/3 binary64) N) (neg.f64 (neg.f64 N)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N) (/.f64 (/.f64 #s(literal -1/3 binary64) N) N)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) N) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 N N)) (/.f64 (*.f64 N (/.f64 #s(literal 1/3 binary64) N)) (*.f64 N N))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (neg.f64 N)) (/.f64 #s(literal -1/2 binary64) N)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (/.f64 #s(literal 1/3 binary64) N) (neg.f64 (neg.f64 N)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (neg.f64 (/.f64 #s(literal -1/3 binary64) N)) N)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) |
(+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (neg.f64 N)) (/.f64 #s(literal 1/2 binary64) N)) |
(+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) N) (neg.f64 (neg.f64 N))) (/.f64 #s(literal 1/2 binary64) N)) |
(+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) N) N) (/.f64 #s(literal 1/2 binary64) N)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) N)) (neg.f64 N))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1 binary64)) (neg.f64 N))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (/.f64 #s(literal -1/3 binary64) N) (neg.f64 (neg.f64 N)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (/.f64 #s(literal -1/3 binary64) N) N)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64))) (neg.f64 N)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64)) N) |
(neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/3 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1/3 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N)) |
(-.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal -1/3 binary64) N))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) |
(+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) N)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (copysign.f64 #s(literal 1 binary64) N)) |
(*.f64 (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (fabs.f64 N))) |
(*.f64 (/.f64 N (*.f64 (neg.f64 N) N)) (/.f64 (neg.f64 N) N)) |
(*.f64 (/.f64 (neg.f64 N) N) (/.f64 N (*.f64 (neg.f64 N) N))) |
(*.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N))) |
(*.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))) |
(*.f64 (fabs.f64 N) (/.f64 (fabs.f64 N) (*.f64 (*.f64 N N) N))) |
(*.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))) |
(*.f64 (neg.f64 N) (/.f64 (neg.f64 N) (*.f64 (*.f64 N N) N))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 N N)) |
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) |
(*.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N))) |
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))) |
(/.f64 (neg.f64 (/.f64 (*.f64 N N) N)) (*.f64 (neg.f64 N) N)) |
(/.f64 (neg.f64 (*.f64 N #s(literal 1 binary64))) (*.f64 (neg.f64 N) N)) |
(/.f64 (neg.f64 (/.f64 N (neg.f64 N))) (neg.f64 (neg.f64 N))) |
(/.f64 (neg.f64 (copysign.f64 #s(literal 1 binary64) N)) (neg.f64 (fabs.f64 N))) |
(/.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 N) N) N)) |
(/.f64 (/.f64 (*.f64 N N) N) (*.f64 N N)) |
(/.f64 (*.f64 N #s(literal 1 binary64)) (*.f64 N N)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 N N)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) N)) |
(/.f64 (/.f64 N (neg.f64 N)) (neg.f64 N)) |
(/.f64 (copysign.f64 #s(literal 1 binary64) N) (fabs.f64 N)) |
(/.f64 (neg.f64 (neg.f64 N)) (*.f64 N N)) |
(/.f64 (*.f64 (neg.f64 N) N) (neg.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N)))) |
(/.f64 (*.f64 (neg.f64 N) N) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N))) |
(/.f64 (*.f64 (neg.f64 N) N) (*.f64 (*.f64 (neg.f64 N) N) N)) |
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 N)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (*.f64 N N) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))) |
(/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)) |
(/.f64 N (*.f64 N N)) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N))) |
(neg.f64 (/.f64 #s(literal -1 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (copysign.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 N (*.f64 (neg.f64 N) N)) (/.f64 (neg.f64 N) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (/.f64 N (*.f64 (neg.f64 N) N)) (/.f64 (neg.f64 N) N) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 (neg.f64 N) N) (/.f64 N (*.f64 (neg.f64 N) N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (/.f64 (neg.f64 N) N) (/.f64 N (*.f64 (neg.f64 N) N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (fabs.f64 N) (/.f64 (fabs.f64 N) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (fabs.f64 N) (/.f64 (fabs.f64 N) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (neg.f64 N) (/.f64 (neg.f64 N) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (neg.f64 N) (/.f64 (neg.f64 N) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 N N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (*.f64 N N) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 0 binary64) N)) |
(fma.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(fma.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 0 binary64) N)) |
(-.f64 (/.f64 #s(literal 2 binary64) (neg.f64 N)) (/.f64 #s(literal 3 binary64) (neg.f64 N))) |
(+.f64 (/.f64 #s(literal 2 binary64) (neg.f64 N)) (/.f64 #s(literal -3 binary64) (neg.f64 N))) |
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 N)))) |
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 0 binary64) N)) |
Compiled 12 015 to 5 025 computations (58.2% saved)
18 alts after pruning (10 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 196 | 3 | 1 199 |
| Fresh | 1 | 7 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 199 | 18 | 1 217 |
| Status | Accuracy | Program |
|---|---|---|
| 31.0% | (neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) | |
| 99.3% | (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))) | |
| ✓ | 99.6% | (log1p.f64 (/.f64 N (*.f64 N N))) |
| ✓ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| 98.7% | (log1p.f64 (-.f64 (/.f64 #s(literal 2 binary64) (neg.f64 N)) (/.f64 #s(literal 3 binary64) (neg.f64 N)))) | |
| 99.4% | (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N)) | |
| 30.4% | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) | |
| 90.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)) N) (/.f64 #s(literal -1 binary64) N))) | |
| 90.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)) | |
| ✓ | 90.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
| 81.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) | |
| 94.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) N)) | |
| ✓ | 81.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
| ✓ | 81.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 90.9% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
| 90.9% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) (-.f64 N #s(literal 1/2 binary64)))) | |
| ✓ | 90.5% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 (*.f64 N N) N)) N)) |
| ✓ | 90.6% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 N #s(literal 1/2 binary64)))) |
Compiled 391 to 322 computations (17.6% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 N #s(literal 1/2 binary64)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) (-.f64 N #s(literal 1/2 binary64)))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 (*.f64 N N) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) N)) |
(log1p.f64 (/.f64 N (*.f64 N N))) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)) N) (/.f64 #s(literal -1 binary64) N))) |
(log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N))) |
(log1p.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (neg.f64 N) N))) |
(log1p.f64 (-.f64 (/.f64 #s(literal 2 binary64) (neg.f64 N)) (/.f64 #s(literal 3 binary64) (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)))) N)) |
(log1p.f64 (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) |
(log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))) |
(log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))) |
(log1p.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 N N)) N (/.f64 #s(literal 2 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N)) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
2 calls:
| 8.0ms | N |
| 6.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 99.8% | 1 | N |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 N #s(literal 1/2 binary64)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) (-.f64 N #s(literal 1/2 binary64)))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
| Outputs |
|---|
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)) |
2 calls:
| 4.0ms | N |
| 3.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 2 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 97.0% | 2 | N |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 N #s(literal 1/2 binary64)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) (-.f64 N #s(literal 1/2 binary64)))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
2 calls:
| 3.0ms | N |
| 3.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 96.9% | 2 | N |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)) |
2 calls:
| 4.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 1 | N |
| 90.9% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
2 calls:
| 1.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 1 | N |
| 90.7% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 7 to 7 computations (0% saved)
Total -0.1b remaining (-1.2%)
Threshold costs -0.1b (-1.2%)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
2 calls:
| 1.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.6% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 81.6% | 1 | N |
Compiled 7 to 7 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 230533.05504267188 | 274162.8867832436 |
| 4.0ms | 48× | 1 | valid |
Compiled 61 to 65 computations (-6.6% saved)
adjust: 1.0ms (33.1% of total)ival-log: 1.0ms (33.1% of total)ival-log1p: 1.0ms (33.1% of total)ival-sub!: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.337763323647437e-6 | 5.246762755817258e-6 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | fuel |
Compiled 42 to 35 computations (16.7% saved)
Compiled 82 to 69 computations (15.9% saved)
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