
Time bar (total: 5.9s)
| 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)
| 1.5s | 6 432× | 1 | valid |
| 246.0ms | 1 824× | 0 | valid |
ival-log1p: 952.0ms (63.5% of total)ival-log: 232.0ms (15.5% of total)adjust: 157.0ms (10.5% of total)ival-sub: 78.0ms (5.2% of total)ival->: 31.0ms (2.1% of total)ival-<: 23.0ms (1.5% of total)ival-and: 11.0ms (0.7% of total)exact: 11.0ms (0.7% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 245 | 1 | (980.5462628389724) | 3 | (28.258310575023774) | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 0 | 0 | - | 0 | - | N |
| 0 | 0 | - | 0 | - | (log.f64 N) |
| 0 | 0 | - | 0 | - | (+.f64 N #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (log.f64 (+.f64 N #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) | cancellation | 243 | 6 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 242 | 3 |
| - | 1 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 242 | 3 | 0 |
| - | 1 | 3 | 7 |
| number | freq |
|---|---|
| 0 | 13 |
| 1 | 243 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 80.0ms | 400× | 1 | valid |
| 11.0ms | 112× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-log: 20.0ms (34.3% of total)ival-log1p: 14.0ms (24% of total)ival-sub: 10.0ms (17.2% of total)adjust: 8.0ms (13.7% of total)ival-add: 6.0ms (10.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 11 | 19 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 13 | 7 |
| 0 | 13 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 23.0% | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 7 to 6 computations (14.3% saved)
| 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 |
|---|
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
N |
(* N (+ 1 (* -1/2 N))) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
1 |
(+ 1 N) |
(log N) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(* -1 (log (/ 1 N))) |
(+ (* -1 (log (/ 1 N))) (/ 1 N)) |
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(* N (+ 1 (/ 1 N))) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | N | @ | 0 | ((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N)) |
| 38.0ms | N | @ | inf | ((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N)) |
| 21.0ms | N | @ | -inf | ((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 259 |
| 1 | 254 | 233 |
| 2 | 628 | 233 |
| 3 | 1729 | 230 |
| 4 | 5360 | 227 |
| 0 | 8305 | 221 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
N |
(* N (+ 1 (* -1/2 N))) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
1 |
(+ 1 N) |
(log N) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(* -1 (log (/ 1 N))) |
(+ (* -1 (log (/ 1 N))) (/ 1 N)) |
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(* N (+ 1 (/ 1 N))) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
| Outputs |
|---|
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N))) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N))) |
N |
(* N (+ 1 (* -1/2 N))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N) |
1 |
#s(literal 1 binary64) |
(+ 1 N) |
(-.f64 N #s(literal -1 binary64)) |
(log N) |
(log.f64 N) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(* -1 (log (/ 1 N))) |
(log.f64 N) |
(+ (* -1 (log (/ 1 N))) (/ 1 N)) |
(+.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 N)) |
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(-.f64 (log.f64 N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) |
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(-.f64 (log.f64 N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) N)) |
(* N (+ 1 (/ 1 N))) |
(-.f64 N #s(literal -1 binary64)) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) N)) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 17 |
| 1 | 41 | 17 |
| 2 | 254 | 17 |
| 3 | 2342 | 17 |
| 0 | 8419 | 13 |
| 1× | iter limit |
| 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 |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) |
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) |
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(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) (neg.f64 (-.f64 N #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) (-.f64 N #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) (neg.f64 (-.f64 N #s(literal 1 binary64)))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 (-.f64 N #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) |
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) #s(literal -1 binary64)) (neg.f64 (-.f64 N #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 N #s(literal 9 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N))) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)) |
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) |
(/.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 (neg.f64 N))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)) |
(fma.f64 N (/.f64 (*.f64 N N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) |
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))) |
(-.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 N)) |
(+.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 N #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 (neg.f64 N)))) |
(*.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N))) |
(*.f64 (sqrt.f64 N) (sqrt.f64 N)) |
(*.f64 #s(literal 1 binary64) N) |
(*.f64 N #s(literal 1 binary64)) |
(pow.f64 (neg.f64 N) #s(literal 1 binary64)) |
(pow.f64 (*.f64 N N) #s(literal 1/2 binary64)) |
(pow.f64 N #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 N N)) |
(fabs.f64 (neg.f64 (neg.f64 N))) |
(fabs.f64 (neg.f64 N)) |
(fabs.f64 N) |
(+.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (log.f64 N))) |
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 N) #s(literal 1 binary64))) |
(exp.f64 (log.f64 N)) |
N |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N))))) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N)))) |
(*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N))) |
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (log.f64 N) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) #s(literal 0 binary64)) |
(sqrt.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (neg.f64 (log.f64 N)))) |
(fabs.f64 (neg.f64 (log.f64 N))) |
(fabs.f64 (log.f64 N)) |
(+.f64 (cosh.f64 (log.f64 (log.f64 N))) (sinh.f64 (log.f64 (log.f64 N)))) |
(+.f64 #s(literal 0 binary64) (log.f64 N)) |
(+.f64 (log.f64 N) #s(literal 0 binary64)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (log.f64 N))) |
(log.f64 N) |
Compiled 6 480 to 1 119 computations (82.7% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 289 | 7 | 296 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 290 | 7 | 297 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))) | |
| ▶ | 99.8% | (log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
| 25.6% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) | |
| ▶ | 95.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| ▶ | 94.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| ▶ | 92.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
| ▶ | 85.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
Compiled 182 to 148 computations (18.7% saved)
| Inputs |
|---|
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(pow.f64 N #s(literal -1 binary64)) |
N |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/2 binary64) N) |
#s(literal -1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1/4 binary64) N) |
#s(literal -1/4 binary64) |
| Outputs |
|---|
(* -1 (log N)) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(/ 1 N) |
N |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/2 (pow N 2)) |
(/ (- N 1/2) (pow N 2)) |
(/ -1/2 N) |
(/ (- N 1/2) N) |
(/ 1/3 (pow N 3)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/ 1/3 (pow N 2)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2)) |
(/ 1/3 N) |
(/ (+ 1/3 (* -1/2 N)) N) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ -1/4 (pow N 2)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2)) |
(/ -1/4 N) |
(/ (- (* 1/3 N) 1/4) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
-1/2 |
(- (* 1/3 (/ 1 N)) 1/2) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N) |
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) |
(/ (- 1/3 (* 1/4 (/ 1 N))) N) |
1/3 |
(- 1/3 (* 1/4 (/ 1 N))) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) |
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | N | @ | 0 | ((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ 1 N) 1 (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (- (/ -1/2 N) -1) (/ -1/2 N) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4) |
| 3.0ms | N | @ | -inf | ((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ 1 N) 1 (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (- (/ -1/2 N) -1) (/ -1/2 N) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4) |
| 2.0ms | N | @ | inf | ((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ 1 N) 1 (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (- (/ -1/2 N) -1) (/ -1/2 N) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 506 |
| 1 | 313 | 472 |
| 2 | 872 | 442 |
| 3 | 2996 | 442 |
| 0 | 8533 | 429 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (log N)) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(/ 1 N) |
N |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/2 (pow N 2)) |
(/ (- N 1/2) (pow N 2)) |
(/ -1/2 N) |
(/ (- N 1/2) N) |
(/ 1/3 (pow N 3)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/ 1/3 (pow N 2)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2)) |
(/ 1/3 N) |
(/ (+ 1/3 (* -1/2 N)) N) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ -1/4 (pow N 2)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2)) |
(/ -1/4 N) |
(/ (- (* 1/3 N) 1/4) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
-1/2 |
(- (* 1/3 (/ 1 N)) 1/2) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N) |
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) |
(/ (- 1/3 (* 1/4 (/ 1 N))) N) |
1/3 |
(- 1/3 (* 1/4 (/ 1 N))) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) |
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
| Outputs |
|---|
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(+ N (* -1 (log N))) |
(-.f64 N (log.f64 N)) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N))) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
N |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N))) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N))) |
(/ -1/2 (pow N 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 N N)) |
(/ (- N 1/2) (pow N 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)) |
(/ -1/2 N) |
(/.f64 #s(literal -1/2 binary64) N) |
(/ (- N 1/2) N) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ 1/3 (pow N 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N N)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) |
(/ 1/3 N) |
(/.f64 #s(literal 1/3 binary64) N) |
(/ (+ 1/3 (* -1/2 N)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(/ -1/4 (pow N 4)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 (fma.f64 N (+.f64 #s(literal -1/2 binary64) N) #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ -1/4 (pow N 2)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 N N)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2)) |
(-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) |
(/ -1/4 N) |
(/.f64 #s(literal -1/4 binary64) N) |
(/ (- (* 1/3 N) 1/4) N) |
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 #s(literal -1/4 binary64) N)) (pow.f64 N #s(literal 3 binary64))) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/2 (/ 1 N))) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/3 (/ 1 N)) 1/2) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/.f64 (fma.f64 (fma.f64 N (+.f64 #s(literal -1/2 binary64) N) #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) |
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) |
(-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) |
(/ (- 1/3 (* 1/4 (/ 1 N))) N) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) |
1/3 |
#s(literal 1/3 binary64) |
(- 1/3 (* 1/4 (/ 1 N))) |
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 #s(literal -1/4 binary64) N)) (pow.f64 N #s(literal 3 binary64))) |
(+ 1 (* -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) N)) N)) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(/.f64 (fma.f64 (fma.f64 N (+.f64 #s(literal -1/2 binary64) N) #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) |
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) |
(-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 198 |
| 0 | 52 | 194 |
| 1 | 208 | 194 |
| 2 | 1430 | 194 |
| 0 | 8340 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(pow.f64 N #s(literal -1 binary64)) |
N |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/2 binary64) N) |
#s(literal -1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1/4 binary64) N) |
#s(literal -1/4 binary64) |
| Outputs |
|---|
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (*.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (expm1.f64 (neg.f64 (log.f64 N))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))) |
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N |
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(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (neg.f64 N) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N (neg.f64 N))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) N (*.f64 N #s(literal 1/3 binary64))) (*.f64 N N)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N)) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (neg.f64 N)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) N)) |
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) N) (/.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) N)) |
(+.f64 (/.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N)))))) |
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) N) (neg.f64 N)) (*.f64 N (neg.f64 N))) (/.f64 (*.f64 N #s(literal -1/3 binary64)) (*.f64 N (neg.f64 N)))) |
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) N) N) (*.f64 N N)) (/.f64 (*.f64 N #s(literal 1/3 binary64)) (*.f64 N N))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N)) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N))) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N)) (/.f64 #s(literal 1/27 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) N) (/.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) N)) |
(+.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (-.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1/27 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N)))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) |
(/.f64 #s(literal 1/4 binary64) (neg.f64 (neg.f64 (neg.f64 N)))) |
(/.f64 #s(literal 1/4 binary64) (neg.f64 N)) |
(/.f64 #s(literal -1/4 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal -1/4 binary64) N) |
(neg.f64 (/.f64 #s(literal 1/4 binary64) N)) |
#s(literal -1/4 binary64) |
Compiled 17 155 to 2 591 computations (84.9% saved)
22 alts after pruning (18 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 480 | 17 | 497 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 482 | 22 | 504 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) | |
| 99.2% | (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 99.7% | (log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) | |
| ▶ | 99.9% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| 95.3% | (log1p.f64 (exp.f64 (neg.f64 (log.f64 N)))) | |
| ▶ | 25.6% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
| ▶ | 95.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
| 94.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) | |
| ✓ | 95.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| ✓ | 94.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| 85.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N)) | |
| ✓ | 92.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
| 95.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N)))) | |
| 95.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) | |
| 94.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) | |
| 92.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) | |
| ✓ | 85.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 95.7% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))) | |
| 95.7% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) | |
| ▶ | 94.6% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
| 92.3% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N))) | |
| ▶ | 92.1% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
Compiled 758 to 566 computations (25.3% saved)
| 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)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
#s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)) |
(+.f64 #s(literal -1/2 binary64) N) |
#s(literal -1/2 binary64) |
(*.f64 N N) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1 binary64) N) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N) |
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1/4 binary64) N) |
#s(literal -1/4 binary64) |
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) N) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
(/.f64 (+.f64 #s(literal 1 binary64) N) N) |
(+.f64 #s(literal 1 binary64) N) |
| Outputs |
|---|
(* -1 (log N)) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(/ 1 N) |
N |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/2 (pow N 2)) |
(/ (- N 1/2) (pow N 2)) |
-1/2 |
(- N 1/2) |
(pow N 2) |
(/ 1/3 (pow N 3)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/ 1/3 (pow N 2)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(/ 1/3 N) |
(/ (+ 1/3 (* -1/2 N)) N) |
(/ -1 N) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ -1/4 (pow N 2)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/ -1/4 N) |
(/ (- (* 1/3 N) 1/4) N) |
(/ 1/2 N) |
(/ (+ 1/2 (* -1 N)) N) |
(/ (+ 1 N) N) |
1 |
(+ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(* N (- 1 (* 1/2 (/ 1 N)))) |
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) |
(/ -1/2 N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(- (* 1/3 (/ 1 N)) 1/2) |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2)) |
(/ (- 1/3 (* 1/4 (/ 1 N))) N) |
1/3 |
(- 1/3 (* 1/4 (/ 1 N))) |
-1 |
(- (* 1/2 (/ 1 N)) 1) |
(+ 1 (/ 1 N)) |
(* N (+ 1 (/ 1 N))) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(* -1 (* N (- (* 1/2 (/ 1 N)) 1))) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | N | @ | 0 | ((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (+ -1/2 N) (* N N)) (+ -1/2 N) -1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (/ -1 N) -1 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (+ (/ 1/2 N) -1) (/ 1/2 N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N)) |
| 3.0ms | N | @ | -inf | ((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (+ -1/2 N) (* N N)) (+ -1/2 N) -1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (/ -1 N) -1 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (+ (/ 1/2 N) -1) (/ 1/2 N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N)) |
| 3.0ms | N | @ | inf | ((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (+ -1/2 N) (* N N)) (+ -1/2 N) -1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (/ -1 N) -1 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (+ (/ 1/2 N) -1) (/ 1/2 N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 490 |
| 1 | 335 | 454 |
| 2 | 902 | 442 |
| 3 | 3227 | 442 |
| 0 | 8456 | 427 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (log N)) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(/ 1 N) |
N |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/2 (pow N 2)) |
(/ (- N 1/2) (pow N 2)) |
-1/2 |
(- N 1/2) |
(pow N 2) |
(/ 1/3 (pow N 3)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/ 1/3 (pow N 2)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(/ 1/3 N) |
(/ (+ 1/3 (* -1/2 N)) N) |
(/ -1 N) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ -1/4 (pow N 2)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/ -1/4 N) |
(/ (- (* 1/3 N) 1/4) N) |
(/ 1/2 N) |
(/ (+ 1/2 (* -1 N)) N) |
(/ (+ 1 N) N) |
1 |
(+ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(* N (- 1 (* 1/2 (/ 1 N)))) |
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) |
(/ -1/2 N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(- (* 1/3 (/ 1 N)) 1/2) |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2)) |
(/ (- 1/3 (* 1/4 (/ 1 N))) N) |
1/3 |
(- 1/3 (* 1/4 (/ 1 N))) |
-1 |
(- (* 1/2 (/ 1 N)) 1) |
(+ 1 (/ 1 N)) |
(* N (+ 1 (/ 1 N))) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(* -1 (* N (- (* 1/2 (/ 1 N)) 1))) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
| Outputs |
|---|
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(+ N (* -1 (log N))) |
(-.f64 N (log.f64 N)) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N))) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
N |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N))) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N))) |
(/ -1/2 (pow N 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 N N)) |
(/ (- N 1/2) (pow N 2)) |
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) |
-1/2 |
#s(literal -1/2 binary64) |
(- N 1/2) |
(-.f64 N #s(literal 1/2 binary64)) |
(pow N 2) |
(*.f64 N N) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ 1/3 (pow N 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N N)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(/ 1/3 N) |
(/.f64 #s(literal 1/3 binary64) N) |
(/ (+ 1/3 (* -1/2 N)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(/ -1 N) |
(/.f64 #s(literal -1 binary64) N) |
(/ -1/4 (pow N 4)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ -1/4 (pow N 2)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 N N)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) |
(/ -1/4 N) |
(/.f64 #s(literal -1/4 binary64) N) |
(/ (- (* 1/3 N) 1/4) N) |
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) |
(/ 1/2 N) |
(/.f64 #s(literal 1/2 binary64) N) |
(/ (+ 1/2 (* -1 N)) N) |
(-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) |
(/ (+ 1 N) N) |
(/.f64 (-.f64 N #s(literal -1 binary64)) N) |
1 |
#s(literal 1 binary64) |
(+ 1 N) |
(-.f64 N #s(literal -1 binary64)) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 #s(literal -1/4 binary64) N)) (pow.f64 N #s(literal 3 binary64))) |
(* N (- 1 (* 1/2 (/ 1 N)))) |
(-.f64 N #s(literal 1/2 binary64)) |
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ -1/2 N) |
(/.f64 #s(literal -1/2 binary64) N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(- (* 1/3 (/ 1 N)) 1/2) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(- 1 (* 1/2 (/ 1 N))) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- 1/3 (* 1/4 (/ 1 N))) N) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) |
1/3 |
#s(literal 1/3 binary64) |
(- 1/3 (* 1/4 (/ 1 N))) |
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ 1 N)) 1) |
(-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) |
(+ 1 (/ 1 N)) |
(/.f64 (-.f64 N #s(literal -1 binary64)) N) |
(* N (+ 1 (/ 1 N))) |
(-.f64 N #s(literal -1 binary64)) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 #s(literal -1/4 binary64) N)) (pow.f64 N #s(literal 3 binary64))) |
(* -1 (* N (- (* 1/2 (/ 1 N)) 1))) |
(-.f64 N #s(literal 1/2 binary64)) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(+ 1 (* -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) N)) N)) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 229 |
| 0 | 63 | 220 |
| 1 | 264 | 208 |
| 2 | 2067 | 208 |
| 0 | 8140 | 208 |
| 1× | iter limit |
| 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)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
#s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)) |
(+.f64 #s(literal -1/2 binary64) N) |
#s(literal -1/2 binary64) |
(*.f64 N N) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1 binary64) N) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N) |
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1/4 binary64) N) |
#s(literal -1/4 binary64) |
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) N) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
(/.f64 (+.f64 #s(literal 1 binary64) N) N) |
(+.f64 #s(literal 1 binary64) N) |
| Outputs |
|---|
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (expm1.f64 (neg.f64 (log.f64 N))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (neg.f64 N) #s(literal -1 binary64)))) (log.f64 (neg.f64 (neg.f64 N)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) N (*.f64 (neg.f64 N) N))) (log.f64 (*.f64 (neg.f64 N) N))) |
(-.f64 (log.f64 (+.f64 N (*.f64 N N))) (log.f64 (*.f64 N N))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) |
(-.f64 (log.f64 (+.f64 (neg.f64 N) #s(literal -1 binary64))) (log.f64 (neg.f64 N))) |
(-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) |
(-.f64 (log1p.f64 (*.f64 (neg.f64 N) N)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) N))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) N))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (*.f64 (neg.f64 (log.f64 N)) (log.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
(*.f64 (/.f64 N (neg.f64 (neg.f64 N))) (pow.f64 N #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 N (neg.f64 N)) (/.f64 #s(literal -1 binary64) N)) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 N (neg.f64 N))) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 N (neg.f64 (neg.f64 N)))) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 N)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 N (neg.f64 N))) (neg.f64 (neg.f64 N))) |
(/.f64 (fabs.f64 (/.f64 N (neg.f64 N))) N) |
(/.f64 (/.f64 N (neg.f64 N)) (neg.f64 N)) |
(/.f64 (neg.f64 (neg.f64 N)) (*.f64 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 N (*.f64 N N)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal 1 binary64) N) |
(neg.f64 (/.f64 #s(literal -1 binary64) N)) |
(sqrt.f64 (pow.f64 N #s(literal -2 binary64))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) N)) |
(fabs.f64 (pow.f64 N #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N)))) |
(exp.f64 (neg.f64 (log.f64 N))) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 (neg.f64 N)))) |
(*.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N))) |
(*.f64 (sqrt.f64 N) (sqrt.f64 N)) |
(*.f64 N #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) N) |
(pow.f64 (neg.f64 N) #s(literal 1 binary64)) |
(pow.f64 (*.f64 N N) #s(literal 1/2 binary64)) |
(pow.f64 N #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 N N)) |
(fabs.f64 (neg.f64 (neg.f64 N))) |
(fabs.f64 (neg.f64 N)) |
(fabs.f64 N) |
(exp.f64 (/.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 N) #s(literal 1 binary64))) |
N |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) N))) |
#s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) N)) |
(/.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal 6 binary64)))) (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #s(literal 2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) (neg.f64 N))) (neg.f64 (neg.f64 N))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #s(literal 2 binary64)) (pow.f64 N #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal 6 binary64))) (pow.f64 N #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (pow.f64 N #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N))) (neg.f64 (neg.f64 N))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 N) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 N) N)) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 N N) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (pow.f64 N #s(literal 4 binary64)))) |
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) (neg.f64 N)) (neg.f64 N)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #s(literal 2 binary64)) (pow.f64 N #s(literal -2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal 6 binary64))) (pow.f64 N #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (pow.f64 N #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N)) (neg.f64 N)) |
(/.f64 (neg.f64 (+.f64 (neg.f64 N) #s(literal 1/2 binary64))) (*.f64 N N)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N))) (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 N (-.f64 N #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 N N)))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 N N) (pow.f64 N #s(literal 3 binary64))) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) N) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal 3 binary64))) (*.f64 (fma.f64 N (-.f64 N #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 N N))) |
(/.f64 (+.f64 (neg.f64 N) #s(literal 1/2 binary64)) (*.f64 (neg.f64 N) N)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) (neg.f64 N)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)) |
(neg.f64 (/.f64 (+.f64 (neg.f64 N) #s(literal 1/2 binary64)) (*.f64 N N))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) N) (pow.f64 N #s(literal -1 binary64))) |
(fma.f64 (/.f64 N (neg.f64 (neg.f64 N))) (pow.f64 N #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)) |
(fma.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)) |
(fma.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)) |
(fma.f64 (/.f64 N (neg.f64 N)) (/.f64 #s(literal -1 binary64) N) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)) |
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 N (neg.f64 N)) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (pow.f64 N #s(literal -1 binary64))) |
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 N (neg.f64 (neg.f64 N))) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)) |
(fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)) (/.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) (/.f64 (*.f64 N N) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) N)) (*.f64 N N)) (/.f64 (/.f64 (*.f64 N N) (-.f64 #s(literal -1/2 binary64) N)) (*.f64 N N))) |
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (pow.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 N #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (pow.f64 N #s(literal -1 binary64))))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 4 binary64)))) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 N (-.f64 N #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 N N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (*.f64 (fma.f64 N (-.f64 N #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 N N)))) |
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (*.f64 (fma.f64 N (-.f64 N #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 N N))) (/.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 N (-.f64 N #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 N N)))) |
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 N (-.f64 N #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 N N)) (/.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 N N))) |
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(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) N) (*.f64 (neg.f64 N) N)) (/.f64 (*.f64 (neg.f64 N) N) (*.f64 (neg.f64 N) N))) |
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) N)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) N))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) N)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) N))) |
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) N))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) N)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) N))) |
(+.f64 (/.f64 (pow.f64 N #s(literal -3 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))) (/.f64 (pow.f64 N #s(literal -3 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N) (/.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)) N)) |
(+.f64 (/.f64 (pow.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) N) (/.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) N)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) N) N)) (/.f64 (*.f64 (neg.f64 N) N) (*.f64 (-.f64 #s(literal 1 binary64) N) N))) |
(+.f64 (/.f64 (pow.f64 N #s(literal -3 binary64)) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal -3 binary64)) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))) |
(+.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 (*.f64 N N) (*.f64 N N))) |
(+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (-.f64 (*.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)) |
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) |
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 (neg.f64 N))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64)) |
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))) |
(+.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1 binary64) N))) |
(+.f64 N #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) N) |
Compiled 23 229 to 3 488 computations (85% saved)
23 alts after pruning (16 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 822 | 8 | 830 |
| Fresh | 5 | 8 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 829 | 23 | 852 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) |
| 99.2% | (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 99.6% | (log1p.f64 (/.f64 N (*.f64 N N))) | |
| ✓ | 99.9% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 25.6% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
| ▶ | 95.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))) |
| ▶ | 94.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
| ✓ | 95.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| ✓ | 94.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| 95.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) | |
| 85.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N)) | |
| ✓ | 92.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
| ▶ | 95.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| 95.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N)))) | |
| 94.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) | |
| ✓ | 85.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 95.7% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))) | |
| 95.7% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) | |
| 92.3% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N))) | |
| 95.7% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))) | |
| 94.6% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))) | |
| ▶ | 92.0% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
| ✓ | 92.1% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
Compiled 829 to 620 computations (25.2% saved)
| Inputs |
|---|
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) |
(log1p.f64 (pow.f64 N #s(literal -3 binary64))) |
(pow.f64 N #s(literal -3 binary64)) |
N |
#s(literal -3 binary64) |
(log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) |
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) |
(expm1.f64 (neg.f64 (log.f64 N))) |
(neg.f64 (log.f64 N)) |
(log.f64 N) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
#s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
(-.f64 #s(literal 1/4 binary64) (*.f64 N N)) |
#s(literal 1/4 binary64) |
(*.f64 N N) |
(*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)) |
(-.f64 #s(literal -1/2 binary64) N) |
#s(literal -1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N) |
(-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) |
(/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) |
#s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N) |
(-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) |
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1/4 binary64) N) |
#s(literal -1/4 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N))) |
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 N) (sqrt.f64 N)) |
(sqrt.f64 N) |
| Outputs |
|---|
(- (* -3 (log N)) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))) |
(- (+ (* -3 (log N)) (* -1 (/ N (- (exp (neg (log N))) 1)))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))) |
(- (+ (* -3 (log N)) (* N (- (* 1/2 (/ N (pow (- (exp (neg (log N))) 1) 2))) (/ 1 (- (exp (neg (log N))) 1))))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))) |
(- (+ (* -3 (log N)) (* N (- (* N (+ (* N (- 1 (* 1/3 (/ 1 (pow (- (exp (neg (log N))) 1) 3))))) (* 1/2 (/ 1 (pow (- (exp (neg (log N))) 1) 2))))) (/ 1 (- (exp (neg (log N))) 1))))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))) |
(* -3 (log N)) |
(+ (* -3 (log N)) (pow N 3)) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3))))) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2))))) |
(/ 1 (pow N 3)) |
N |
(+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))) |
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (/ N (- (exp (neg (log N))) 1)))) |
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (* N (+ (* -1/2 (/ N (pow (- (exp (neg (log N))) 1) 2))) (/ 1 (- (exp (neg (log N))) 1)))))) |
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (* N (+ (* N (- (* 1/3 (/ N (pow (- (exp (neg (log N))) 1) 3))) (* 1/2 (/ 1 (pow (- (exp (neg (log N))) 1) 2))))) (/ 1 (- (exp (neg (log N))) 1)))))) |
(/ (- (exp (neg (log N))) 1) N) |
(- (exp (neg (log N))) 1) |
(* -1 (log N)) |
(log N) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/2 (pow N 2)) |
(/ (- N 1/2) (pow N 2)) |
1/4 |
(+ 1/4 (* -1 (pow N 2))) |
(pow N 2) |
(* -1/2 (pow N 2)) |
(* (pow N 2) (- (* -1 N) 1/2)) |
-1/2 |
(- (* -1 N) 1/2) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ -1/4 (pow N 2)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/ -1/4 N) |
(/ (- (* 1/3 N) 1/4) N) |
(/ 1/2 N) |
(/ (+ 1/2 (* -1 N)) N) |
(/ (- (* N (+ 1/3 (pow N 2))) 1/4) (pow N 3)) |
(sqrt N) |
(/ (- 1 (exp (neg (* -1 (log (/ 1 N)))))) N) |
(/ (- (+ 1 (* 1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N))) (exp (neg (* -1 (log (/ 1 N)))))) N) |
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) N) |
(/ (- (+ 1 (+ (* 1/4 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 4) (pow N 3))) (/ 1 (pow N 2)))) (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) N) |
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3)) |
(/ (- (exp (neg (* -1 (log (/ 1 N))))) 1) N) |
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N))) 1) N) |
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2))))) 1) N) |
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (+ (* -1/4 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 4) (pow N 3))) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) 1) N) |
(- (exp (neg (* -1 (log (/ 1 N))))) 1) |
(log (/ 1 N)) |
(* -1 (log (/ 1 N))) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(* -1 (pow N 2)) |
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) 1)) |
(* -1 (pow N 3)) |
(* -1 (* (pow N 3) (+ 1 (* 1/2 (/ 1 N))))) |
(* -1 N) |
(* -1 (* N (+ 1 (* 1/2 (/ 1 N))))) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/ 1/3 (pow N 2)) |
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2)) |
(/ 1/3 N) |
(/ (- 1/3 (* 1/4 (/ 1 N))) N) |
1/3 |
(- 1/3 (* 1/4 (/ 1 N))) |
-1 |
(- (* 1/2 (/ 1 N)) 1) |
(+ 1 (* 1/3 (/ 1 (pow N 2)))) |
(- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3))) |
(* -1 (/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N)) |
(* -1 (/ (- (* -1/2 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3) N)) (/ 1 N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 4) N)) (+ 1 (* -1/3 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3)))) N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N)) |
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N) |
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* 1/2 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2) N))) N)) |
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* -1 (/ (+ (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2)) (* 1/3 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3) N))) N))) N)) |
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3)) (* 1/4 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 4) N))) N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N))) N)) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) |
(* -1 (+ (log -1) (* -1 (log (/ -1 N))))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
(/ -1 (* N (pow (sqrt -1) 2))) |
(* -1 (/ (- (/ 1 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (* N (pow (sqrt -1) 2))))) N)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* N (pow (sqrt -1) 2))))) N)) (/ 1 (pow (sqrt -1) 2))) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 (pow (sqrt -1) 2))) (* 1/4 (/ 1 (* N (pow (sqrt -1) 2))))) N)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) N)) (/ 1 (pow (sqrt -1) 2))) N)) |
(* -1 (* N (pow (sqrt -1) 2))) |
(* -1 (* (sqrt N) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | N | @ | inf | ((- (log (+ 1 (pow N -3))) (log (+ 1 (/ (- (exp (neg (log N))) 1) N)))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (/ (- (exp (neg (log N))) 1) N))) (/ (- (exp (neg (log N))) 1) N) (- (exp (neg (log N))) 1) (neg (log N)) (log N) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (- 1/4 (* N N)) (* (- -1/2 N) (* N N))) (- 1/4 (* N N)) 1/4 (* N N) (* (- -1/2 N) (* N N)) (- -1/2 N) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) 1/3 (+ (/ 1/2 N) -1) (/ 1/2 N) 1/2 -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) N) (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (* (sqrt N) (sqrt N))) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (* (sqrt N) (sqrt N)) (sqrt N)) |
| 18.0ms | N | @ | -inf | ((- (log (+ 1 (pow N -3))) (log (+ 1 (/ (- (exp (neg (log N))) 1) N)))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (/ (- (exp (neg (log N))) 1) N))) (/ (- (exp (neg (log N))) 1) N) (- (exp (neg (log N))) 1) (neg (log N)) (log N) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (- 1/4 (* N N)) (* (- -1/2 N) (* N N))) (- 1/4 (* N N)) 1/4 (* N N) (* (- -1/2 N) (* N N)) (- -1/2 N) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) 1/3 (+ (/ 1/2 N) -1) (/ 1/2 N) 1/2 -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) N) (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (* (sqrt N) (sqrt N))) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (* (sqrt N) (sqrt N)) (sqrt N)) |
| 11.0ms | N | @ | 0 | ((- (log (+ 1 (pow N -3))) (log (+ 1 (/ (- (exp (neg (log N))) 1) N)))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (/ (- (exp (neg (log N))) 1) N))) (/ (- (exp (neg (log N))) 1) N) (- (exp (neg (log N))) 1) (neg (log N)) (log N) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (- 1/4 (* N N)) (* (- -1/2 N) (* N N))) (- 1/4 (* N N)) 1/4 (* N N) (* (- -1/2 N) (* N N)) (- -1/2 N) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) 1/3 (+ (/ 1/2 N) -1) (/ 1/2 N) 1/2 -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) N) (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (* (sqrt N) (sqrt N))) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (* (sqrt N) (sqrt N)) (sqrt N)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 357 | 1560 |
| 1 | 1109 | 1396 |
| 2 | 3750 | 1284 |
| 0 | 9333 | 1184 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* -3 (log N)) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))) |
(- (+ (* -3 (log N)) (* -1 (/ N (- (exp (neg (log N))) 1)))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))) |
(- (+ (* -3 (log N)) (* N (- (* 1/2 (/ N (pow (- (exp (neg (log N))) 1) 2))) (/ 1 (- (exp (neg (log N))) 1))))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))) |
(- (+ (* -3 (log N)) (* N (- (* N (+ (* N (- 1 (* 1/3 (/ 1 (pow (- (exp (neg (log N))) 1) 3))))) (* 1/2 (/ 1 (pow (- (exp (neg (log N))) 1) 2))))) (/ 1 (- (exp (neg (log N))) 1))))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))) |
(* -3 (log N)) |
(+ (* -3 (log N)) (pow N 3)) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3))))) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2))))) |
(/ 1 (pow N 3)) |
N |
(+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))) |
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (/ N (- (exp (neg (log N))) 1)))) |
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (* N (+ (* -1/2 (/ N (pow (- (exp (neg (log N))) 1) 2))) (/ 1 (- (exp (neg (log N))) 1)))))) |
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (* N (+ (* N (- (* 1/3 (/ N (pow (- (exp (neg (log N))) 1) 3))) (* 1/2 (/ 1 (pow (- (exp (neg (log N))) 1) 2))))) (/ 1 (- (exp (neg (log N))) 1)))))) |
(/ (- (exp (neg (log N))) 1) N) |
(- (exp (neg (log N))) 1) |
(* -1 (log N)) |
(log N) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/2 (pow N 2)) |
(/ (- N 1/2) (pow N 2)) |
1/4 |
(+ 1/4 (* -1 (pow N 2))) |
(pow N 2) |
(* -1/2 (pow N 2)) |
(* (pow N 2) (- (* -1 N) 1/2)) |
-1/2 |
(- (* -1 N) 1/2) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ -1/4 (pow N 2)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/ -1/4 N) |
(/ (- (* 1/3 N) 1/4) N) |
(/ 1/2 N) |
(/ (+ 1/2 (* -1 N)) N) |
(/ (- (* N (+ 1/3 (pow N 2))) 1/4) (pow N 3)) |
(sqrt N) |
(/ (- 1 (exp (neg (* -1 (log (/ 1 N)))))) N) |
(/ (- (+ 1 (* 1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N))) (exp (neg (* -1 (log (/ 1 N)))))) N) |
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) N) |
(/ (- (+ 1 (+ (* 1/4 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 4) (pow N 3))) (/ 1 (pow N 2)))) (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) N) |
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3)) |
(/ (- (exp (neg (* -1 (log (/ 1 N))))) 1) N) |
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N))) 1) N) |
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2))))) 1) N) |
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (+ (* -1/4 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 4) (pow N 3))) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) 1) N) |
(- (exp (neg (* -1 (log (/ 1 N))))) 1) |
(log (/ 1 N)) |
(* -1 (log (/ 1 N))) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(* -1 (pow N 2)) |
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) 1)) |
(* -1 (pow N 3)) |
(* -1 (* (pow N 3) (+ 1 (* 1/2 (/ 1 N))))) |
(* -1 N) |
(* -1 (* N (+ 1 (* 1/2 (/ 1 N))))) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/ 1/3 (pow N 2)) |
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2)) |
(/ 1/3 N) |
(/ (- 1/3 (* 1/4 (/ 1 N))) N) |
1/3 |
(- 1/3 (* 1/4 (/ 1 N))) |
-1 |
(- (* 1/2 (/ 1 N)) 1) |
(+ 1 (* 1/3 (/ 1 (pow N 2)))) |
(- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3))) |
(* -1 (/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N)) |
(* -1 (/ (- (* -1/2 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3) N)) (/ 1 N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 4) N)) (+ 1 (* -1/3 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3)))) N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N)) |
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N) |
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* 1/2 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2) N))) N)) |
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* -1 (/ (+ (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2)) (* 1/3 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3) N))) N))) N)) |
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3)) (* 1/4 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 4) N))) N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N))) N)) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) |
(* -1 (+ (log -1) (* -1 (log (/ -1 N))))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
(/ -1 (* N (pow (sqrt -1) 2))) |
(* -1 (/ (- (/ 1 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (* N (pow (sqrt -1) 2))))) N)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* N (pow (sqrt -1) 2))))) N)) (/ 1 (pow (sqrt -1) 2))) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 (pow (sqrt -1) 2))) (* 1/4 (/ 1 (* N (pow (sqrt -1) 2))))) N)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) N)) (/ 1 (pow (sqrt -1) 2))) N)) |
(* -1 (* N (pow (sqrt -1) 2))) |
(* -1 (* (sqrt N) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(- (* -3 (log N)) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))) |
(-.f64 (fma.f64 (log.f64 N) #s(literal -3 binary64) (log.f64 N)) (log.f64 (expm1.f64 (neg.f64 (log.f64 N))))) |
(- (+ (* -3 (log N)) (* -1 (/ N (- (exp (neg (log N))) 1)))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 N)))) N (-.f64 (fma.f64 (log.f64 N) #s(literal -3 binary64) (log.f64 N)) (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))))) |
(- (+ (* -3 (log N)) (* N (- (* 1/2 (/ N (pow (- (exp (neg (log N))) 1) 2))) (/ 1 (- (exp (neg (log N))) 1))))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) N) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (log.f64 N))))) N (-.f64 (fma.f64 (log.f64 N) #s(literal -3 binary64) (log.f64 N)) (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))))) |
(- (+ (* -3 (log N)) (* N (- (* N (+ (* N (- 1 (* 1/3 (/ 1 (pow (- (exp (neg (log N))) 1) 3))))) (* 1/2 (/ 1 (pow (- (exp (neg (log N))) 1) 2))))) (/ 1 (- (exp (neg (log N))) 1))))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)))) N (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)))) N) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (log.f64 N))))) N (-.f64 (fma.f64 (log.f64 N) #s(literal -3 binary64) (log.f64 N)) (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))))) |
(* -3 (log N)) |
(*.f64 (log.f64 N) #s(literal -3 binary64)) |
(+ (* -3 (log N)) (pow N 3)) |
(fma.f64 (log.f64 N) #s(literal -3 binary64) (pow.f64 N #s(literal 3 binary64))) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3))))) |
(fma.f64 (log.f64 N) #s(literal -3 binary64) (fma.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1/2 binary64) (pow.f64 N #s(literal 3 binary64)))) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2))))) |
(fma.f64 (log.f64 N) #s(literal -3 binary64) (fma.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 3 binary64)))) |
(/ 1 (pow N 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) |
N |
(+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))) |
(-.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))) (log.f64 N)) |
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (/ N (- (exp (neg (log N))) 1)))) |
(+.f64 (-.f64 (/.f64 N (expm1.f64 (neg.f64 (log.f64 N)))) (log.f64 N)) (log.f64 (expm1.f64 (neg.f64 (log.f64 N))))) |
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (* N (+ (* -1/2 (/ N (pow (- (exp (neg (log N))) 1) 2))) (/ 1 (- (exp (neg (log N))) 1)))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) N) (expm1.f64 (neg.f64 (log.f64 N)))) #s(literal 1 binary64)) (expm1.f64 (neg.f64 (log.f64 N)))) N (-.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))) (log.f64 N))) |
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (* N (+ (* N (- (* 1/3 (/ N (pow (- (exp (neg (log N))) 1) 3))) (* 1/2 (/ 1 (pow (- (exp (neg (log N))) 1) 2))))) (/ 1 (- (exp (neg (log N))) 1)))))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) N) (expm1.f64 (neg.f64 (log.f64 N))))) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64))) N (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (log.f64 N))))) N (-.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))) (log.f64 N))) |
(/ (- (exp (neg (log N))) 1) N) |
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) |
(- (exp (neg (log N))) 1) |
(expm1.f64 (neg.f64 (log.f64 N))) |
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(log N) |
(log.f64 N) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(/ -1/2 (pow N 2)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N) |
(/ (- N 1/2) (pow N 2)) |
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -1 (pow N 2))) |
(-.f64 #s(literal 1/4 binary64) (*.f64 N N)) |
(pow N 2) |
(*.f64 N N) |
(* -1/2 (pow N 2)) |
(*.f64 (*.f64 N N) #s(literal -1/2 binary64)) |
(* (pow N 2) (- (* -1 N) 1/2)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) N) N) N) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -1 N) 1/2) |
(-.f64 #s(literal -1/2 binary64) N) |
(/ -1/4 (pow N 4)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ -1/4 (pow N 2)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 N N)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) N) N) |
(/ -1/4 N) |
(/.f64 #s(literal -1/4 binary64) N) |
(/ (- (* 1/3 N) 1/4) N) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) N) |
(/ 1/2 N) |
(/.f64 #s(literal 1/2 binary64) N) |
(/ (+ 1/2 (* -1 N)) N) |
(/.f64 (-.f64 #s(literal 1/2 binary64) N) N) |
(/ (- (* N (+ 1/3 (pow N 2))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 (fma.f64 N N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(sqrt N) |
(sqrt.f64 N) |
(/ (- 1 (exp (neg (* -1 (log (/ 1 N)))))) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N) |
(/ (- (+ 1 (* 1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N))) (exp (neg (* -1 (log (/ 1 N)))))) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N)) N) |
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) N) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) N) (*.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) N)) N) |
(/ (- (+ 1 (+ (* 1/4 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 4) (pow N 3))) (/ 1 (pow N 2)))) (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) N) |
(/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/4 binary64) (-.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) N) (*.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) N))) #s(literal 1 binary64)) N) |
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64))))) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64))))) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 9 binary64)))) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (exp (neg (* -1 (log (/ 1 N))))) 1) N) |
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) |
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N))) 1) N) |
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N) #s(literal 1 binary64)) N) |
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2))))) 1) N) |
(/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) N) (*.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) N) (expm1.f64 (neg.f64 (log.f64 N)))) N) |
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (+ (* -1/4 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 4) (pow N 3))) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) 1) N) |
(/.f64 (-.f64 (expm1.f64 (neg.f64 (log.f64 N))) (/.f64 (fma.f64 (neg.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 4 binary64)) N) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)))) N)) N)) N) |
(- (exp (neg (* -1 (log (/ 1 N))))) 1) |
(expm1.f64 (neg.f64 (log.f64 N))) |
(log (/ 1 N)) |
(neg.f64 (log.f64 N)) |
(* -1 (log (/ 1 N))) |
(log.f64 N) |
(/ 1 N) |
(pow.f64 N #s(literal -1 binary64)) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N) |
(* -1 (pow N 2)) |
(*.f64 (neg.f64 N) N) |
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1 binary64)) N) N) |
(* -1 (pow N 3)) |
(pow.f64 (neg.f64 N) #s(literal 3 binary64)) |
(* -1 (* (pow N 3) (+ 1 (* 1/2 (/ 1 N))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) N) N) N) |
(* -1 N) |
(neg.f64 N) |
(* -1 (* N (+ 1 (* 1/2 (/ 1 N))))) |
(-.f64 #s(literal -1/2 binary64) N) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/2 (/ 1 N))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) |
(/ 1/3 (pow N 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N N)) |
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) N) |
(/ 1/3 N) |
(/.f64 #s(literal 1/3 binary64) N) |
(/ (- 1/3 (* 1/4 (/ 1 N))) N) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) |
1/3 |
#s(literal 1/3 binary64) |
(- 1/3 (* 1/4 (/ 1 N))) |
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ 1 N)) 1) |
(-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) |
(+ 1 (* 1/3 (/ 1 (pow N 2)))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) |
(- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) N)) |
(* -1 (/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N)) |
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) (neg.f64 N)) |
(* -1 (/ (- (* -1/2 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3) N)) (/ 1 N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)) #s(literal 1 binary64)) N)) N) (expm1.f64 (neg.f64 (log.f64 N)))) N) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 4) N)) (+ 1 (* -1/3 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3)))) N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 4 binary64)) N) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 N))) N) (expm1.f64 (neg.f64 (log.f64 N)))) N) |
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))) (pow.f64 N #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) |
(/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N) |
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) |
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* 1/2 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2) N))) N)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N) #s(literal 1 binary64)) N) |
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* -1 (/ (+ (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2)) (* 1/3 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3) N))) N))) N)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) N) (*.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) N) (expm1.f64 (neg.f64 (log.f64 N)))) N) |
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3)) (* 1/4 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 4) N))) N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N))) N)) |
(/.f64 (-.f64 (expm1.f64 (neg.f64 (log.f64 N))) (/.f64 (fma.f64 (neg.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 4 binary64)) N) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)))) N)) N)) N) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) |
(expm1.f64 (neg.f64 (log.f64 N))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 N))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal 1 binary64)) (neg.f64 N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (neg.f64 N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) |
(/ -1 (* N (pow (sqrt -1) 2))) |
(pow.f64 N #s(literal -1 binary64)) |
(* -1 (/ (- (/ 1 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (* N (pow (sqrt -1) 2))))) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* N (pow (sqrt -1) 2))))) N)) (/ 1 (pow (sqrt -1) 2))) N)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 (pow (sqrt -1) 2))) (* 1/4 (/ 1 (* N (pow (sqrt -1) 2))))) N)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) N)) (/ 1 (pow (sqrt -1) 2))) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N) |
(* -1 (* N (pow (sqrt -1) 2))) |
N |
(* -1 (* (sqrt N) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 N) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 392 |
| 0 | 87 | 376 |
| 1 | 358 | 340 |
| 2 | 2983 | 334 |
| 0 | 8976 | 323 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) |
(log1p.f64 (pow.f64 N #s(literal -3 binary64))) |
(pow.f64 N #s(literal -3 binary64)) |
N |
#s(literal -3 binary64) |
(log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) |
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) |
(expm1.f64 (neg.f64 (log.f64 N))) |
(neg.f64 (log.f64 N)) |
(log.f64 N) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
#s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
(-.f64 #s(literal 1/4 binary64) (*.f64 N N)) |
#s(literal 1/4 binary64) |
(*.f64 N N) |
(*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)) |
(-.f64 #s(literal -1/2 binary64) N) |
#s(literal -1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N) |
(-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) |
(/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) |
#s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N) |
(-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) |
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1/4 binary64) N) |
#s(literal -1/4 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N))) |
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 N) (sqrt.f64 N)) |
(sqrt.f64 N) |
| Outputs |
|---|
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (sqrt.f64 N))) (log.f64 (sqrt.f64 N))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))) (log.f64 N)) |
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))))) (log.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 N))))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) N))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) (-.f64 (pow.f64 N #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 N))))))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -9 binary64))) (log.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64))) (pow.f64 N #s(literal -3 binary64))) (-.f64 (pow.f64 N #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 N))))))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 (-.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) N)) (*.f64 N N)))) |
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N)) |
(log1p.f64 (pow.f64 N #s(literal -3 binary64))) |
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64)))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal -9 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64))) (pow.f64 N #s(literal -3 binary64)))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))))) |
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(exp.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (neg.f64 (log.f64 N)))) |
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal -3/2 binary64))) #s(literal 2 binary64))) |
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(*.f64 (sqrt.f64 N) (sqrt.f64 N)) |
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(pow.f64 N #s(literal 1 binary64)) |
(neg.f64 N) |
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(exp.f64 (*.f64 (log.f64 N) #s(literal 1 binary64))) |
(exp.f64 (log.f64 N)) |
N |
#s(literal -3 binary64) |
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(neg.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) |
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(expm1.f64 (*.f64 (log.f64 (sqrt.f64 N)) #s(literal -2 binary64))) |
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(-.f64 (/.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) N) N)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal -1 binary64))) |
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(-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) |
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(-.f64 (log.f64 (pow.f64 N #s(literal -1/2 binary64))) (log.f64 (sqrt.f64 N))) |
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (log.f64 N)))) |
(-.f64 #s(literal 0 binary64) (log.f64 N)) |
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(log.f64 (pow.f64 N #s(literal -1 binary64))) |
(*.f64 (log.f64 (sqrt.f64 N)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 N))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 N))) |
(*.f64 #s(literal 1 binary64) (log.f64 N)) |
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(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 N) (log.f64 (sqrt.f64 N))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (log.f64 N)) (log.f64 (sqrt.f64 N))) |
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 N)) (log.f64 (sqrt.f64 N))) |
(fma.f64 #s(literal 1 binary64) (log.f64 N) #s(literal 0 binary64)) |
(fma.f64 (log.f64 N) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 N))) |
(+.f64 (log.f64 (sqrt.f64 N)) (log.f64 (sqrt.f64 N))) |
(+.f64 #s(literal 0 binary64) (log.f64 N)) |
(+.f64 (log.f64 N) #s(literal 0 binary64)) |
(log.f64 N) |
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#s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) N) N) N)) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) N) N)) N) |
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(/.f64 (neg.f64 (/.f64 (fma.f64 N N #s(literal 1/4 binary64)) (*.f64 N N))) (neg.f64 (-.f64 #s(literal -1/2 binary64) N))) |
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(+.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (log.f64 N))) |
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 N) #s(literal 1 binary64))) |
(exp.f64 (log.f64 N)) |
N |
(*.f64 (neg.f64 (pow.f64 N #s(literal 1/4 binary64))) (neg.f64 (pow.f64 N #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 N) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 N) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 N)) |
(*.f64 (pow.f64 N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 N) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 N) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 N)) |
(pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 N) #s(literal 1 binary64)) |
(pow.f64 (*.f64 N N) #s(literal 1/4 binary64)) |
(pow.f64 N #s(literal 1/2 binary64)) |
(neg.f64 (sqrt.f64 N)) |
(sqrt.f64 N) |
(fabs.f64 (sqrt.f64 N)) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 N))) (sinh.f64 (log.f64 (sqrt.f64 N)))) |
(exp.f64 (/.f64 (log.f64 N) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 N)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 N))) |
Compiled 39 895 to 5 422 computations (86.4% saved)
22 alts after pruning (15 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 257 | 7 | 1 264 |
| Fresh | 3 | 8 | 11 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 265 | 22 | 1 287 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)))) | |
| 99.2% | (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 99.6% | (log1p.f64 (/.f64 N (*.f64 N N))) | |
| ✓ | 99.9% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 25.6% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
| ✓ | 95.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| ✓ | 94.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| 95.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))) | |
| 95.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) | |
| ✓ | 92.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
| 95.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))) | |
| 95.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) | |
| 95.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N)))) | |
| 95.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))) | |
| 94.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) N)) N)) | |
| ✓ | 85.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 95.7% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))) | |
| 95.7% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) | |
| 95.7% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))) | |
| 94.6% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))) | |
| ✓ | 92.1% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
| 92.6% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
Compiled 1 281 to 545 computations (57.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #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 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 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 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
(log1p.f64 (/.f64 N (*.f64 N N))) |
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N)))) |
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
2 calls:
| 9.0ms | N |
| 7.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 99.9% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #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 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 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 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
2 calls:
| 7.0ms | N |
| 5.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 95.8% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #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 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
2 calls:
| 4.0ms | N |
| 3.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 94.7% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
2 calls:
| 2.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 92.6% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #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 |
|---|---|---|
| 92.3% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 92.3% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
2 calls:
| 11.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 1.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 92.1% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) 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 |
|---|---|---|
| 85.1% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 85.1% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 129 |
| 1 | 75 | 129 |
| 2 | 108 | 129 |
| 3 | 145 | 129 |
| 4 | 177 | 129 |
| 5 | 193 | 129 |
| 6 | 208 | 129 |
| 7 | 216 | 129 |
| 1× | saturated |
| Inputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 506 |
| 1 | 313 | 472 |
| 2 | 872 | 442 |
| 3 | 2996 | 442 |
| 0 | 8533 | 429 |
| 0 | 40 | 229 |
| 0 | 63 | 220 |
| 1 | 264 | 208 |
| 2 | 2067 | 208 |
| 0 | 8140 | 208 |
| 0 | 6 | 18 |
| 0 | 10 | 17 |
| 1 | 41 | 17 |
| 2 | 254 | 17 |
| 3 | 2342 | 17 |
| 0 | 8419 | 13 |
| 0 | 88 | 259 |
| 1 | 254 | 233 |
| 2 | 628 | 233 |
| 3 | 1729 | 230 |
| 4 | 5360 | 227 |
| 0 | 8305 | 221 |
| 0 | 33 | 198 |
| 0 | 52 | 194 |
| 1 | 208 | 194 |
| 2 | 1430 | 194 |
| 0 | 8340 | 190 |
| 0 | 357 | 1560 |
| 1 | 1109 | 1396 |
| 2 | 3750 | 1284 |
| 0 | 9333 | 1184 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 195 to 110 computations (43.6% saved)
Compiled 326 to 156 computations (52.1% saved)
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