
Time bar (total: 6.3s)
| 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)
| 1.3s | 7 267× | 1 | valid |
| 49.0ms | 989× | 0 | valid |
ival-log1p: 410.0ms (41.5% of total)ival-log: 266.0ms (26.9% of total)adjust: 152.0ms (15.4% of total)ival-sub: 79.0ms (8% of total)ival->: 28.0ms (2.8% of total)ival-<: 28.0ms (2.8% of total)ival-and: 12.0ms (1.2% of total)exact: 10.0ms (1% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 248 | 0 | - | 1 | (15.009284971441051) | (-.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 | 247 | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 247 | 1 |
| - | 0 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 247 | 1 | 0 |
| - | 0 | 2 | 6 |
| number | freq |
|---|---|
| 0 | 9 |
| 1 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 62.0ms | 462× | 1 | valid |
| 3.0ms | 50× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-log: 14.0ms (29.3% of total)ival-log1p: 14.0ms (29.3% of total)adjust: 12.0ms (25.1% of total)ival-sub: 4.0ms (8.4% of total)ival-add: 2.0ms (4.2% 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 |
|---|---|---|
| ▶ | 22.4% | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 N) | |
| cost-diff | 0 | (+.f64 N #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) | |
| cost-diff | 2 | (log.f64 (+.f64 N #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 13 | 18 |
| 0 | 13 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 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 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 (+.f64 N #s(literal 1 binary64))) |
(log1p.f64 N) |
(+.f64 N #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) N) |
N |
#s(literal 1 binary64) |
(log.f64 N) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 N #s(literal 1 binary64)) | |
| accuracy | 0.0 | (log.f64 (+.f64 N #s(literal 1 binary64))) | |
| accuracy | 0.0 | (log.f64 N) | |
| accuracy | 49.678842029425255 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 36.0ms | 231× | 1 | valid |
| 1.0ms | 25× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
adjust: 11.0ms (38.5% of total)ival-log1p: 8.0ms (28% of total)ival-log: 6.0ms (21% of total)ival-sub: 2.0ms (7% of total)ival-add: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(log.f64 (+.f64 N #s(literal 1 binary64))) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(+.f64 N #s(literal 1 binary64)) |
(log.f64 N) |
| Outputs |
|---|
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 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
1 |
(+ 1 N) |
(log 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))) |
(/ 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 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)))) |
(* -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)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | N | @ | 0 | ((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N)) |
| 22.0ms | N | @ | inf | ((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N)) |
| 18.0ms | N | @ | -inf | ((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ 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 | 1724 | 230 |
| 4 | 5376 | 227 |
| 0 | 8294 | 221 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
1 |
(+ 1 N) |
(log 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))) |
(/ 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 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)))) |
(* -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)) |
| Outputs |
|---|
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 (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))) |
1 |
#s(literal 1 binary64) |
(+ 1 N) |
(-.f64 N #s(literal -1 binary64)) |
(log N) |
(log.f64 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)) |
(/ 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) |
(* N (+ 1 (/ 1 N))) |
(-.f64 N #s(literal -1 binary64)) |
(+ (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))) |
(* -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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 15 |
| 1 | 41 | 15 |
| 2 | 254 | 15 |
| 3 | 2342 | 15 |
| 0 | 8419 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 N #s(literal 1 binary64))) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(+.f64 N #s(literal 1 binary64)) |
(log.f64 N) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N))))) |
(*.f64 (sqrt.f64 (neg.f64 (log1p.f64 N))) (sqrt.f64 (neg.f64 (log1p.f64 N)))) |
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N))) |
(pow.f64 (neg.f64 (log1p.f64 N)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (log1p.f64 N) #s(literal 1 binary64)) |
(log1p.f64 N) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 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 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 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 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (fabs.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.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 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 N))) (sqrt.f64 (neg.f64 (log1p.f64 N))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))) |
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 N))) (sqrt.f64 (neg.f64 (log1p.f64 N))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))) |
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) #s(literal 0 binary64)) |
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(/.f64 (neg.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)))) (neg.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)) (-.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 (*.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.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)))) (neg.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (fma.f64 N N (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.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 (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 6 119 to 1 019 computations (83.3% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 253 | 8 | 261 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 254 | 8 | 262 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 24.2% | (/.f64 (fma.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))) |
| 99.8% | (-.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))) |
| ▶ | 25.4% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
| 97.3% | #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)) | |
| ▶ | 96.1% | #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)) |
| 94.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) | |
| ▶ | 86.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
Compiled 240 to 172 computations (28.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log1p.f64 N) | |
| cost-diff | 0 | (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) | |
| cost-diff | 6 | (fma.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))))) | |
| cost-diff | 8 | (/.f64 (fma.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))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) N) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) N) N) | |
| cost-diff | 2 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) | |
| cost-diff | 0 | (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) N) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) | |
| cost-diff | 0 | (pow.f64 N #s(literal -1 binary64)) | |
| cost-diff | 0 | (log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 191 |
| 0 | 56 | 185 |
| 1 | 91 | 175 |
| 2 | 215 | 167 |
| 3 | 910 | 165 |
| 4 | 4823 | 165 |
| 0 | 9199 | 165 |
| 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) |
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)) |
(/.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) |
N |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
(/.f64 (+.f64 #s(literal 1 binary64) N) N) |
(+.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
(/.f64 (fma.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))) |
(fma.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 (log1p.f64 N) #s(literal 2 binary64)) |
(log1p.f64 N) |
N |
#s(literal 2 binary64) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) |
| Outputs |
|---|
(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)) |
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) N) |
(pow.f64 N #s(literal -1 binary64)) |
#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)) |
(/.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) |
N |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) N) N) |
(+.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
(/.f64 (fma.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 (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))) |
(fma.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))))) |
(*.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))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(log1p.f64 N) |
N |
#s(literal 2 binary64) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) |
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.45998002930532605 | (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) | |
| accuracy | 0.47884750976844204 | (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) | |
| accuracy | 0.541347509768442 | (pow.f64 (log.f64 N) #s(literal 2 binary64)) | |
| accuracy | 48.11642577119168 | (fma.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))))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) N) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 #s(literal 1 binary64) N) N) | |
| accuracy | 47.74512948811855 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) | |
| accuracy | 0.08203125 | (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) | |
| accuracy | 0.08984375 | (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) | |
| accuracy | 0.39453125 | (/.f64 #s(literal 1/3 binary64) N) | |
| accuracy | 2.406296245473586 | #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)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) N) | |
| accuracy | 8.896366797537425 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) | |
| accuracy | 0.0 | (pow.f64 N #s(literal -1 binary64)) | |
| accuracy | 0.12109375 | (log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
| 183.0ms | 237× | 1 | valid |
| 4.0ms | 19× | 0 | valid |
Compiled 205 to 31 computations (84.9% saved)
ival-pow2: 62.0ms (38.1% of total)adjust: 35.0ms (21.5% of total)ival-log: 15.0ms (9.2% of total)ival-div: 12.0ms (7.4% of total)ival-log1p: 11.0ms (6.8% of total)ival-pow: 6.0ms (3.7% of total)ival-add: 6.0ms (3.7% of total)ival-mult: 5.0ms (3.1% of total)ival-sub: 4.0ms (2.5% of total)const: 4.0ms (2.5% of total)ival-neg: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(pow.f64 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(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) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
(/.f64 (+.f64 #s(literal 1 binary64) N) N) |
(+.f64 #s(literal 1 binary64) N) |
(/.f64 (fma.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))) |
(fma.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 (log1p.f64 N) #s(literal 2 binary64)) |
(log1p.f64 N) |
(/.f64 #s(literal 1/3 binary64) N) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 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 (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log 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 N) N) |
1 |
(+ 1 N) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))))))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))))))) |
(* -1 (pow (log N) 3)) |
(+ (* -1 (* N (pow (log N) 2))) (* -1 (pow (log N) 3))) |
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (* 1/2 (pow (log N) 2))))))) |
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* 1/2 (pow (log N) 2)) (* N (+ 1 (+ (* -1 (log N)) (* -1/3 (pow (log N) 2))))))))))) |
(pow N 2) |
(* (pow N 2) (+ 1 (* -1 N))) |
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1)))) |
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1)))) |
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)))) |
(/ 1/3 N) |
(pow (log N) 2) |
(+ (* 2 (* N (log N))) (pow (log N) 2)) |
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2)) |
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2)) |
(/ (- 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 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(/ -1/2 N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(+ 1 (/ 1 N)) |
(* N (+ 1 (/ 1 N))) |
(* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) |
(- (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3))))) |
(- (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4))))))) |
(- (+ (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* -1/3 (pow (log (/ 1 N)) 2)) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N))))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (log (/ 1 N)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (pow (log (/ 1 N)) 4))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (+ (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))) (+ (* 1/16 (/ (* (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (- (* -4/3 (log (/ 1 N))) 1)) (* (pow N 3) (pow (log (/ 1 N)) 4)))) (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))))))))) |
(+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) |
(+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 2 (pow (log (/ 1 N)) 3)) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N))))) |
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 3)) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N))))))))) |
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* -1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (pow (log (/ 1 N)) 3)) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N)))))))))))))) |
(pow (log (/ 1 N)) 2) |
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2)) |
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))) |
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3))) |
(* -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))) |
(* 4 (pow (log (/ 1 N)) 2)) |
(+ (* -4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2))) |
(+ (* -4 (/ (log (/ 1 N)) N)) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2))))) |
(- (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))) (/ 1 (pow N 3))) |
(* -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 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) |
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (* -2 (/ (+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
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(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(+ (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)))) |
(pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2) |
(+ (* 2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) |
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) |
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -2/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | N | @ | inf | ((log (+ 1 (pow N -1))) (pow N -1) (- (log (+ N 1)) (log N)) (/ 1 N) (- (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) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ 1/3 N) (pow (log N) 2) (pow (+ (log N) (log (+ 1 N))) 2)) |
| 16.0ms | N | @ | -inf | ((log (+ 1 (pow N -1))) (pow N -1) (- (log (+ N 1)) (log N)) (/ 1 N) (- (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) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ 1/3 N) (pow (log N) 2) (pow (+ (log N) (log (+ 1 N))) 2)) |
| 10.0ms | N | @ | 0 | ((log (+ 1 (pow N -1))) (pow N -1) (- (log (+ N 1)) (log N)) (/ 1 N) (- (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) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ 1/3 N) (pow (log N) 2) (pow (+ (log N) (log (+ 1 N))) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 528 | 4097 |
| 1 | 1908 | 2505 |
| 0 | 8717 | 2395 |
| 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 (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log 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 N) N) |
1 |
(+ 1 N) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))))))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))))))) |
(* -1 (pow (log N) 3)) |
(+ (* -1 (* N (pow (log N) 2))) (* -1 (pow (log N) 3))) |
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (* 1/2 (pow (log N) 2))))))) |
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* 1/2 (pow (log N) 2)) (* N (+ 1 (+ (* -1 (log N)) (* -1/3 (pow (log N) 2))))))))))) |
(pow N 2) |
(* (pow N 2) (+ 1 (* -1 N))) |
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1)))) |
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1)))) |
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)))) |
(/ 1/3 N) |
(pow (log N) 2) |
(+ (* 2 (* N (log N))) (pow (log N) 2)) |
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2)) |
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2)) |
(/ (- 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 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(/ -1/2 N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(+ 1 (/ 1 N)) |
(* N (+ 1 (/ 1 N))) |
(* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) |
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| 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)))) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
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#s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))))))) N)) (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64))))) N) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64))) N) #s(literal -1 binary64) #s(literal 0 binary64)) |
(+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
#s(literal 0 binary64) |
(+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 0 binary64)) N) #s(literal -1 binary64) #s(literal 0 binary64)) |
(+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) N) #s(literal -1 binary64) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 0 binary64))) N) #s(literal -1 binary64) #s(literal 0 binary64)) |
(+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))) N)) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 0 binary64) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) N) #s(literal -1 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))) N) #s(literal -1 binary64) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 0 binary64))) N) #s(literal -1 binary64) #s(literal 0 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) |
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) N)) N) #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) N)) (neg.f64 N))) N) #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) |
(+ (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)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #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)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) N)) |
(pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2) |
(pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+ (* 2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) |
(fma.f64 (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) #s(literal 2 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) |
(fma.f64 (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4 binary64))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) N)) N) #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -2/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) |
(fma.f64 (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (fma.f64 #s(literal -4/3 binary64) (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) N)) N)) N) #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 151 |
| 0 | 56 | 120 |
| 1 | 227 | 112 |
| 2 | 1529 | 112 |
| 0 | 8367 | 112 |
| 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)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) 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)) |
(/.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) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
(/.f64 (+.f64 #s(literal 1 binary64) N) N) |
(+.f64 #s(literal 1 binary64) N) |
(/.f64 (fma.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))) |
(fma.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 (log1p.f64 N) #s(literal 2 binary64)) |
(log1p.f64 N) |
(/.f64 #s(literal 1/3 binary64) N) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (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 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 (/.f64 (pow.f64 (fma.f64 N N N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (fma.f64 N N N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 (/.f64 (pow.f64 (fma.f64 N N N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (fma.f64 N N N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) |
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(*.f64 (pow.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (neg.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))) |
(*.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(pow.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64))) (fma.f64 (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (-.f64 (*.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N))) (*.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (-.f64 (*.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (*.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (neg.f64 (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #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 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.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))))) (neg.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (*.f64 (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log.f64 N) (log1p.f64 N))))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (-.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.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)))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 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 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N))) |
(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) |
(fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(fma.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(fabs.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(+.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N))) |
(+.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(exp.f64 (+.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (pow.f64 (fma.f64 N N N) #s(literal -1 binary64)) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))) |
(log.f64 (exp.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) |
Compiled 37 926 to 3 361 computations (91.1% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 842 | 13 | 855 |
| Fresh | 0 | 3 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 845 | 18 | 863 |
| 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))) | |
| 99.8% | (-.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))))) | |
| ▶ | 99.1% | (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))) | |
| ▶ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ▶ | 3.3% | #s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
| 96.1% | #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)) | |
| 97.3% | #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)) | |
| ✓ | 96.1% | #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)) |
| 94.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) | |
| 96.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N)) | |
| ▶ | 95.9% | #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))) |
| 96.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)) | |
| 96.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N)) | |
| ✓ | 86.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| ▶ | 96.1% | #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))) |
| 96.1% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #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))) | |
| 97.3% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N)) |
Compiled 706 to 500 computations (29.2% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 N #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 2 | (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 2 | (*.f64 (*.f64 (neg.f64 N) N) N) | |
| cost-diff | 2 | (-.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))) | |
| cost-diff | 3 | (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)) | |
| cost-diff | 4 | (/.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)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 2 | (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) N) | |
| cost-diff | 0 | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 243 |
| 0 | 66 | 221 |
| 1 | 116 | 207 |
| 2 | 367 | 194 |
| 3 | 2045 | 184 |
| 4 | 7359 | 184 |
| 0 | 8225 | 176 |
| 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 (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
#s(literal 0 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) 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) |
N |
#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 (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))) |
(/.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)) |
(-.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 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) |
(neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) |
(-.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) |
N |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)) |
(*.f64 (neg.f64 N) N) |
(neg.f64 N) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (neg.f64 N) N) N) |
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 N #s(literal -1/2 binary64)) |
N |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) N) |
(pow.f64 N #s(literal -1 binary64)) |
#s(literal 1 binary64) |
N |
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
#s(literal 0 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) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (pow.f64 N #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 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 (pow.f64 N #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) |
(*.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 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) |
N |
#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 (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 (pow.f64 N #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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)) |
(*.f64 (pow.f64 N #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) |
(-.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 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) |
(*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) |
(neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) |
(-.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) |
N |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)) |
(*.f64 N N) |
(*.f64 (neg.f64 N) N) |
(neg.f64 N) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (neg.f64 N) N) N) |
(pow.f64 (neg.f64 N) #s(literal 3 binary64)) |
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 N #s(literal -1 binary64)) |
(pow.f64 N #s(literal -1/2 binary64)) |
N |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (pow.f64 N #s(literal -1/2 binary64)) | |
| accuracy | 0.12109375 | (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.560878759768442 | (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.2890625 | (*.f64 (*.f64 (neg.f64 N) N) N) | |
| accuracy | 0.3125 | (/.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)) | |
| accuracy | 0.39453125 | (/.f64 #s(literal 1/3 binary64) N) | |
| accuracy | 2.406296245473586 | #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))) | |
| accuracy | 0.109375 | (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)) | |
| accuracy | 0.3046875 | (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) | |
| accuracy | 0.39453125 | (/.f64 #s(literal 1/3 binary64) N) | |
| accuracy | 2.406296245473586 | #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))) | |
| accuracy | 61.89932708837576 | #s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) N) | |
| accuracy | 0.12109375 | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| 161.0ms | 234× | 1 | valid |
| 6.0ms | 22× | 0 | valid |
Compiled 210 to 41 computations (80.5% saved)
adjust: 28.0ms (19.9% of total)ival-pow2: 19.0ms (13.5% of total)ival-pow: 19.0ms (13.5% of total)ival-div: 18.0ms (12.8% of total)ival-mult: 15.0ms (10.7% of total)ival-log1p: 14.0ms (10% of total)ival-sub: 7.0ms (5% of total)ival-log: 6.0ms (4.3% of total)const: 4.0ms (2.8% of total)ival-neg: 4.0ms (2.8% of total)ival-add: 4.0ms (2.8% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
(-.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 (/.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 (*.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)) |
(*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)) |
(-.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) |
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 N #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/3 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))) |
| 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) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))))))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))))))) |
(/ 1/3 (pow N 3)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ 1/3 (pow N 2)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(pow N 2) |
-1/3 |
(- (* 1/2 N) 1/3) |
(- (* N (+ 1/2 (* -1 N))) 1/3) |
(* -1 (pow N 3)) |
(sqrt (/ 1 N)) |
(/ 1/3 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) |
(* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) |
(- (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3))))) |
(- (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4))))))) |
(- (+ (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* -1/3 (pow (log (/ 1 N)) 2)) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N))))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (log (/ 1 N)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (pow (log (/ 1 N)) 4))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (+ (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))) (+ (* 1/16 (/ (* (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (- (* -4/3 (log (/ 1 N))) 1)) (* (pow N 3) (pow (log (/ 1 N)) 4)))) (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))))))))) |
(/ -1/2 (pow N 2)) |
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) |
(/ -1/2 N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(* -1 (pow N 2)) |
(* (pow N 2) (- (* 1/2 (/ 1 N)) 1)) |
(* (pow N 2) (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))) |
(* -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 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) |
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (* -2 (/ (+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))) (+ (* -2 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (* -2 (/ (+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ (* (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -2 (/ (+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
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(log (/ -1 N))) (* 2 (log -1))))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(* (pow N 2) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)) |
(* -1 (/ (pow (sqrt -1) 2) N)) |
(* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N)) |
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | N | @ | -inf | ((log (+ 1 (/ 1 N))) (/ 1 N) (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (- (log (+ N 1)) (log N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (/ (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (* (* (neg N) N) N)) (* (* (neg N) N) -1) (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (* (* (neg N) N) N) (pow (pow N -1/2) 2) (log (+ 1 (pow (pow N -1/2) 2))) (pow N -1/2) (/ 1/3 N) (- (log (+ N 1)) (log N))) |
| 3.0ms | N | @ | inf | ((log (+ 1 (/ 1 N))) (/ 1 N) (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (- (log (+ N 1)) (log N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (/ (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (* (* (neg N) N) N)) (* (* (neg N) N) -1) (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (* (* (neg N) N) N) (pow (pow N -1/2) 2) (log (+ 1 (pow (pow N -1/2) 2))) (pow N -1/2) (/ 1/3 N) (- (log (+ N 1)) (log N))) |
| 3.0ms | N | @ | 0 | ((log (+ 1 (/ 1 N))) (/ 1 N) (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (- (log (+ N 1)) (log N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (/ (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (* (* (neg N) N) N)) (* (* (neg N) N) -1) (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (* (* (neg N) N) N) (pow (pow N -1/2) 2) (log (+ 1 (pow (pow N -1/2) 2))) (pow N -1/2) (/ 1/3 N) (- (log (+ N 1)) (log N))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 349 | 2708 |
| 1 | 1182 | 1567 |
| 2 | 5675 | 1504 |
| 0 | 8236 | 1449 |
| 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) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))))))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))))))) |
(/ 1/3 (pow N 3)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ 1/3 (pow N 2)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(pow N 2) |
-1/3 |
(- (* 1/2 N) 1/3) |
(- (* N (+ 1/2 (* -1 N))) 1/3) |
(* -1 (pow N 3)) |
(sqrt (/ 1 N)) |
(/ 1/3 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) |
(* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) |
(- (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3))))) |
(- (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4))))))) |
(- (+ (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* -1/3 (pow (log (/ 1 N)) 2)) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N))))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (log (/ 1 N)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (pow (log (/ 1 N)) 4))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (+ (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))) (+ (* 1/16 (/ (* (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (- (* -4/3 (log (/ 1 N))) 1)) (* (pow N 3) (pow (log (/ 1 N)) 4)))) (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))))))))) |
(/ -1/2 (pow N 2)) |
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) |
(/ -1/2 N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(* -1 (pow N 2)) |
(* (pow N 2) (- (* 1/2 (/ 1 N)) 1)) |
(* (pow N 2) (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))) |
(* -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 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) |
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(log (/ -1 N))) (* 2 (log -1))))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(* (pow N 2) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)) |
(* -1 (/ (pow (sqrt -1) 2) N)) |
(* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N)) |
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2)) |
| 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)))) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))))))) |
(-.f64 (fma.f64 (*.f64 N N) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (log.f64 N))) (log.f64 N))) N) (log.f64 N)) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))))))) |
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(/ 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))) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)) |
(/ 1/3 (pow N 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N N)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) N) |
(pow N 2) |
(*.f64 N N) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 1/2 N) 1/3) |
(-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64)) |
(- (* N (+ 1/2 (* -1 N))) 1/3) |
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64)) |
(* -1 (pow N 3)) |
(pow.f64 (neg.f64 N) #s(literal 3 binary64)) |
(sqrt (/ 1 N)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) N)) |
(/ 1/3 N) |
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(/ (- 1 (* 1/2 (/ 1 N))) N) |
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(/ (- (+ 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) |
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(* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) |
(/.f64 #s(literal 0 binary64) (*.f64 (log.f64 N) (log.f64 N))) |
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(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2/3 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 4/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4/3 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (-.f64 (+.f64 (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))) N)) (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))))) N) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 3 binary64)))))) N) #s(literal -1 binary64) #s(literal 0 binary64)) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) (neg.f64 N)) |
(* (pow N 2) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (*.f64 N N)) |
(* -1 (/ (pow (sqrt -1) 2) N)) |
(/.f64 #s(literal 1 binary64) N) |
(* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) N) #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) N) #s(literal -1/3 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (neg.f64 N))) N) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) N) #s(literal 1/4 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1/3 binary64))) (neg.f64 N))) (neg.f64 N))) N) |
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 193 |
| 0 | 66 | 158 |
| 1 | 277 | 142 |
| 2 | 2071 | 121 |
| 0 | 8219 | 118 |
| 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(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
(-.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 (/.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 (*.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)) |
(*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)) |
(-.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) |
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 N #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/3 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))) |
| Outputs |
|---|
(log1p.f64 (pow.f64 N #s(literal -1 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 #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 (-.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))) |
(log.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64)))) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (fabs.f64 (pow.f64 N #s(literal -3/4 binary64))) (pow.f64 N #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 N)) #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 N) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 N) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 N) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 N) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 N) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 N) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 N) N) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (neg.f64 N) N) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 N #s(literal -3/4 binary64)) (pow.f64 N #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (fabs.f64 (pow.f64 N #s(literal -3/4 binary64)))) |
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 N))) |
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (neg.f64 N)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal 1 binary64) (fabs.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 (pow.f64 N #s(literal -1 binary64))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) N)) |
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log.f64 N))) |
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(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 N) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 N) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 N) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 N) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 N) N) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (neg.f64 N) N) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 N #s(literal -3/4 binary64)) (pow.f64 N #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (fabs.f64 (pow.f64 N #s(literal -3/4 binary64)))) |
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 N))) |
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (neg.f64 N)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal 1 binary64) (fabs.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 (pow.f64 N #s(literal -1 binary64))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) N)) |
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log.f64 N))) |
(log1p.f64 (pow.f64 N #s(literal -1 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 #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 (-.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))) |
(log.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 N)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (fabs.f64 N) #s(literal -1/4 binary64)) (pow.f64 (fabs.f64 N) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1/4 binary64)) (pow.f64 (neg.f64 N) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 N) #s(literal -1/4 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 N) #s(literal -1/4 binary64)) (pow.f64 (neg.f64 N) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 N) N) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (neg.f64 N) N) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))) (neg.f64 (pow.f64 N #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 N)) |
(pow.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 N N) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 N #s(literal -1/2 binary64)) |
(sqrt.f64 (pow.f64 N #s(literal -1 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) |
(fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 N)))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (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 #s(literal -1/2 binary64) (log.f64 N))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal 1/3 binary64) N) |
(neg.f64 (/.f64 #s(literal -1/3 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)) |
Compiled 10 182 to 1 544 computations (84.8% saved)
22 alts after pruning (17 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 333 | 8 | 341 |
| Fresh | 2 | 9 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 337 | 22 | 359 |
| Status | Accuracy | Program |
|---|---|---|
| 98.5% | (log1p.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) | |
| 98.6% | (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 4 binary64))) | |
| ✓ | 99.1% | (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))) |
| 95.3% | (log1p.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 N)))) | |
| ▶ | 99.1% | (log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) |
| ✓ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 3.3% | #s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
| ▶ | 96.1% | #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)) |
| 97.3% | #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)) | |
| ✓ | 96.1% | #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)) |
| ▶ | 94.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
| 96.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N)) | |
| ▶ | 96.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)) |
| 96.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N)) | |
| 95.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) | |
| 85.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N))) | |
| ✓ | 86.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 96.1% | #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))) | |
| 94.0% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N))) | |
| 96.1% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #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))) | |
| 97.3% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N)) |
Compiled 812 to 595 computations (26.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) | |
| cost-diff | 0 | #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) | |
| cost-diff | 0 | (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 1 | (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N) | |
| cost-diff | 2 | (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)) | |
| cost-diff | 1 | (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) N) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) | |
| cost-diff | 0 | (*.f64 N N) | |
| cost-diff | 0 | (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 250 |
| 0 | 64 | 245 |
| 1 | 92 | 245 |
| 2 | 160 | 245 |
| 3 | 380 | 240 |
| 4 | 808 | 240 |
| 5 | 1784 | 240 |
| 6 | 2798 | 240 |
| 7 | 3024 | 240 |
| 8 | 3178 | 238 |
| 9 | 3341 | 238 |
| 10 | 3490 | 238 |
| 11 | 5444 | 238 |
| 12 | 5725 | 238 |
| 13 | 5762 | 238 |
| 14 | 5813 | 238 |
| 15 | 5909 | 238 |
| 16 | 5943 | 238 |
| 17 | 6336 | 238 |
| 18 | 6553 | 238 |
| 19 | 6574 | 238 |
| 20 | 6574 | 238 |
| 0 | 8365 | 232 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) |
(*.f64 N N) |
N |
#s(literal -1/2 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) |
N |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) |
(-.f64 N #s(literal 1/2 binary64)) |
N |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
(*.f64 N 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)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N) |
(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 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(literal -1 binary64) |
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) |
(pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) |
#s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
#s(literal 2 binary64) |
| Outputs |
|---|
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) |
(*.f64 N N) |
N |
#s(literal -1/2 binary64) |
#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)) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) N)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N) |
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) N) |
(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) N) N) |
(/.f64 #s(literal -1/2 binary64) N) |
#s(literal -1/2 binary64) |
N |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) N)) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) N) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) |
(-.f64 N #s(literal 1/2 binary64)) |
N |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
(*.f64 N 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 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
N |
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 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) |
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) |
(pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) |
#s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) | |
| accuracy | 0.12109375 | (log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) | |
| accuracy | 0.171875 | (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) | |
| accuracy | 0.560878759768442 | (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) | |
| accuracy | 0.08203125 | (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N) | |
| accuracy | 0.24609375 | (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) | |
| accuracy | 0.39453125 | (/.f64 #s(literal 1/3 binary64) N) | |
| accuracy | 2.406296245473586 | #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)) | |
| accuracy | 0.0 | #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) | |
| accuracy | 0.08203125 | (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N) | |
| accuracy | 0.19044877930532605 | (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)) | |
| accuracy | 2.406296245473586 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1/2 binary64) N) | |
| accuracy | 0.0 | (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) | |
| accuracy | 0.0546875 | (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N) | |
| accuracy | 3.806590398003805 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) | |
| accuracy | 0.0 | (*.f64 N N) | |
| accuracy | 0.1171875 | (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) | |
| accuracy | 0.12109375 | (log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) |
| 168.0ms | 231× | 1 | valid |
| 7.0ms | 25× | 0 | valid |
Compiled 176 to 37 computations (79% saved)
adjust: 32.0ms (21.6% of total)ival-pow2: 32.0ms (21.6% of total)ival-pow: 18.0ms (12.1% of total)ival-div: 17.0ms (11.5% of total)ival-log1p: 14.0ms (9.4% of total)ival-mult: 10.0ms (6.7% of total)ival-sub: 9.0ms (6.1% of total)ival-log: 6.0ms (4% of total)const: 4.0ms (2.7% of total)ival-add: 4.0ms (2.7% of total)ival-sqrt: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) |
(*.f64 N N) |
#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) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) |
(-.f64 (/.f64 (/.f64 #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 1/3 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(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N) |
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) |
(pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) |
#s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1/3 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) |
(pow N 2) |
(- 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 2)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(/ (+ 1/3 (* N (- 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)) |
(sqrt (/ 1 N)) |
(/ 1/3 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 N) |
(* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)) |
(* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) 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 (/ (pow (sqrt -1) 2) N)) |
(* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N)) |
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | N | @ | -inf | ((log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (- (/ -1/2 N) -1) (/ -1/2 N) (/ (+ (* (- N 1/2) N) 1/3) (* N N)) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (- (/ (/ 1/3 N) N) (+ (/ 1/2 N) -1)) (/ (- (/ (/ 1/3 N) N) (+ (/ 1/2 N) -1)) N) (- (log (+ N 1)) (log N)) (/ (/ 1/3 N) N) (log (+ 1 (pow (pow N -1/2) 2))) (pow (pow N -1/2) 2) (pow N -1/2) (sqrt (/ 1 N)) (/ 1/3 N)) |
| 3.0ms | N | @ | 0 | ((log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (- (/ -1/2 N) -1) (/ -1/2 N) (/ (+ (* (- N 1/2) N) 1/3) (* N N)) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (- (/ (/ 1/3 N) N) (+ (/ 1/2 N) -1)) (/ (- (/ (/ 1/3 N) N) (+ (/ 1/2 N) -1)) N) (- (log (+ N 1)) (log N)) (/ (/ 1/3 N) N) (log (+ 1 (pow (pow N -1/2) 2))) (pow (pow N -1/2) 2) (pow N -1/2) (sqrt (/ 1 N)) (/ 1/3 N)) |
| 2.0ms | N | @ | inf | ((log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (- (/ -1/2 N) -1) (/ -1/2 N) (/ (+ (* (- N 1/2) N) 1/3) (* N N)) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (- (/ (/ 1/3 N) N) (+ (/ 1/2 N) -1)) (/ (- (/ (/ 1/3 N) N) (+ (/ 1/2 N) -1)) N) (- (log (+ N 1)) (log N)) (/ (/ 1/3 N) N) (log (+ 1 (pow (pow N -1/2) 2))) (pow (pow N -1/2) 2) (pow N -1/2) (sqrt (/ 1 N)) (/ 1/3 N)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 383 |
| 1 | 384 | 358 |
| 2 | 1106 | 340 |
| 3 | 4156 | 335 |
| 0 | 8535 | 323 |
| 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) |
(pow N 2) |
(- 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 2)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(/ (+ 1/3 (* N (- 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)) |
(sqrt (/ 1 N)) |
(/ 1/3 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 N) |
(* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)) |
(* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) 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 (/ (pow (sqrt -1) 2) N)) |
(* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N)) |
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2)) |
| 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) |
(pow N 2) |
(*.f64 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 (/.f64 #s(literal -1/2 binary64) 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 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 (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))) |
(sqrt (/ 1 N)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) N)) |
(/ 1/3 N) |
(/.f64 #s(literal 1/3 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 (/.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 |
#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 N) |
(/.f64 #s(literal -1 binary64) N) |
(* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N) |
(* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 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 (/.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 (* -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 (/ (pow (sqrt -1) 2) N)) |
(/.f64 #s(literal 1 binary64) N) |
(* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N)) |
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64) N) (*.f64 N N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N)) |
(/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) N) #s(literal -1/3 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64))) N) (*.f64 N N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N)) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) N) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal -1/3 binary64))) N)) N) (*.f64 N N)) |
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 212 |
| 0 | 64 | 203 |
| 1 | 265 | 195 |
| 2 | 1915 | 195 |
| 0 | 8773 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) |
(*.f64 N N) |
#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) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) |
(-.f64 (/.f64 (/.f64 #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 1/3 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(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N) |
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) |
(pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) |
#s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1/3 binary64) N) |
| Outputs |
|---|
(log1p.f64 (pow.f64 N #s(literal -1 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 #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 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64)))))) |
(-.f64 (log1p.f64 (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 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 N #s(literal -3/4 binary64))) (pow.f64 N #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 N #s(literal -3/4 binary64)) (pow.f64 N #s(literal -1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (fabs.f64 (pow.f64 N #s(literal -3/4 binary64)))) |
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 N))) |
(pow.f64 (neg.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 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 N) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 N) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 N)) |
(/.f64 #s(literal -1 binary64) N) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal 1 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) N) |
(neg.f64 (pow.f64 N #s(literal -1 binary64))) |
(sqrt.f64 (pow.f64 N #s(literal -2 binary64))) |
(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 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64)))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) (*.f64 (log.f64 N) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64) (*.f64 (log.f64 N) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 N) #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 N) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal 4 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (neg.f64 (log.f64 N))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 N))) (neg.f64 (neg.f64 (neg.f64 N)))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 N))) (exp.f64 (log.f64 (neg.f64 N)))) |
(*.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N))) |
(*.f64 (neg.f64 N) (neg.f64 N)) |
(*.f64 #s(literal 1 binary64) (*.f64 N N)) |
(*.f64 (*.f64 N N) #s(literal 1 binary64)) |
(*.f64 N N) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 N)) |
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 N) #s(literal 2 binary64)) |
(pow.f64 (*.f64 N N) #s(literal 1 binary64)) |
(pow.f64 N #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 N) N)) |
(sqrt.f64 (pow.f64 N #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 N) N)) |
(fabs.f64 (*.f64 N N)) |
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 N)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (neg.f64 N) #s(literal -1 binary64))) (*.f64 (neg.f64 N) N)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) (neg.f64 N)) (*.f64 (neg.f64 N) #s(literal 1 binary64))) (*.f64 N 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)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 N)) (*.f64 (*.f64 (neg.f64 N) N) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) N) (neg.f64 N)) N) (*.f64 (neg.f64 N) N)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) #s(literal -1 binary64))) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 N)) (*.f64 N N)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (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) N) (pow.f64 N #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N)) 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 (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)))) (neg.f64 (neg.f64 N))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))) (neg.f64 N)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))) N)) |
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) (neg.f64 N))) |
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (pow.f64 N #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 N)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal -1/2 binary64) N) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) N)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N)) (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal -1/3 binary64) N))) (*.f64 N N)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N)) (*.f64 (neg.f64 N) N) (*.f64 (neg.f64 N) #s(literal -1/3 binary64))) (*.f64 (neg.f64 N) (*.f64 (neg.f64 N) N))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N)) (neg.f64 (neg.f64 N)) (*.f64 (neg.f64 N) (/.f64 #s(literal 1/3 binary64) N))) (*.f64 (neg.f64 N) N)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N)) N (*.f64 (neg.f64 N) (/.f64 #s(literal 1/3 binary64) N))) (*.f64 (neg.f64 N) N)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N)) (*.f64 N N) (*.f64 (neg.f64 N) #s(literal 1/3 binary64))) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) (neg.f64 N) (*.f64 N (/.f64 #s(literal -1/3 binary64) N))) (*.f64 (neg.f64 N) N)) |
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(*.f64 (sqrt.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 N #s(literal -3/4 binary64))) (sqrt.f64 (pow.f64 N #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 N #s(literal -1/4 binary64))) (sqrt.f64 (pow.f64 N #s(literal -3/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/4 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))) (neg.f64 (pow.f64 N #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 N)) |
(pow.f64 (neg.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 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 N) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 N) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 N N) #s(literal -1/4 binary64)) |
(pow.f64 N #s(literal -1/2 binary64)) |
(/.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (fabs.f64 (sqrt.f64 (neg.f64 N)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 N))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 N))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (sqrt.f64 N)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (sqrt.f64 N))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 N)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 N)) |
(sqrt.f64 (pow.f64 N #s(literal -1 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) |
(fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 N) #s(literal -1/4 binary64) (*.f64 (log.f64 N) #s(literal -1/4 binary64)))) |
(exp.f64 (/.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 N) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 N)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 N)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal 1/3 binary64) N) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) N)) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 #s(literal -1/3 binary64) N)) |
(fabs.f64 (/.f64 #s(literal 1/3 binary64) N)) |
Compiled 10 809 to 1 889 computations (82.5% saved)
22 alts after pruning (13 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 415 | 5 | 420 |
| Fresh | 4 | 8 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 420 | 22 | 442 |
| Status | Accuracy | Program |
|---|---|---|
| 98.5% | (log1p.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) | |
| 98.6% | (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 4 binary64))) | |
| ✓ | 99.1% | (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))) |
| 99.2% | (log1p.f64 (pow.f64 (sqrt.f64 N) #s(literal -2 binary64))) | |
| ✓ | 99.1% | (log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) |
| ✓ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 3.3% | #s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
| 97.3% | #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)) | |
| ✓ | 96.1% | #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)) |
| 96.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) | |
| ✓ | 94.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
| 93.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) | |
| ✓ | 96.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)) |
| 96.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (neg.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N (*.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal 1/3 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) N))) N)) | |
| 96.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) N)) N)) | |
| 96.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N)) | |
| 95.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) | |
| 85.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N))) | |
| ✓ | 86.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 94.0% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N))) | |
| 97.3% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N)) |
Compiled 1 132 to 535 computations (52.7% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 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)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N 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) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) 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 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.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 #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 (-.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 (/.f64 #s(literal 1/3 binary64) N) N) (/.f64 #s(literal 1/2 binary64) N)) #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 (/.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 (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 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (neg.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N (*.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal 1/3 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #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))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) 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 (pow.f64 (sqrt.f64 N) #s(literal -2 binary64))) |
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) |
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 4 binary64))) |
(log1p.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(log1p.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 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))) |
(/.f64 (fma.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))) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
2 calls:
| 9.0ms | N |
| 6.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 99.8% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 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)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N 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) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) 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 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.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 #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 (-.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 (/.f64 #s(literal 1/3 binary64) N) N) (/.f64 #s(literal 1/2 binary64) N)) #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 (/.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 (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 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (neg.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N (*.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal 1/3 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #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))) |
| 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:
| 5.0ms | N |
| 4.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 97.3% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 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)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N 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) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) 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 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.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 #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 (-.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 (/.f64 #s(literal 1/3 binary64) N) N) (/.f64 #s(literal 1/2 binary64) N)) #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)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N)) |
2 calls:
| 36.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 4.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 96.2% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 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)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N 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) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) 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))) |
| 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:
| 3.0ms | N |
| 3.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 96.1% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 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)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)) |
2 calls:
| 3.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 96.1% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 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)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
2 calls:
| 2.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 1 | N |
| 95.9% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 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)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) 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:
| 2.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.0% | 1 | N |
| 94.0% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
2 calls:
| 2.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 93.8% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
#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 |
|---|---|---|
| 86.1% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 86.1% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
2 calls:
| 1.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.3% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 3.3% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 226 |
| 1 | 140 | 215 |
| 2 | 323 | 204 |
| 3 | 1128 | 202 |
| 4 | 5253 | 202 |
| 1× | node limit |
| 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 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.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) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) 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)) (/.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 (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
| 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 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.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) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) 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)) (/.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))) |
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 383 |
| 1 | 384 | 358 |
| 2 | 1106 | 340 |
| 3 | 4156 | 335 |
| 0 | 8535 | 323 |
| 0 | 349 | 2708 |
| 1 | 1182 | 1567 |
| 2 | 5675 | 1504 |
| 0 | 8236 | 1449 |
| 0 | 528 | 4097 |
| 1 | 1908 | 2505 |
| 0 | 8717 | 2395 |
| 0 | 88 | 259 |
| 1 | 254 | 233 |
| 2 | 628 | 233 |
| 3 | 1724 | 230 |
| 4 | 5376 | 227 |
| 0 | 8294 | 221 |
| 0 | 6 | 16 |
| 0 | 10 | 15 |
| 1 | 41 | 15 |
| 2 | 254 | 15 |
| 3 | 2342 | 15 |
| 0 | 8419 | 11 |
| 0 | 33 | 151 |
| 0 | 56 | 120 |
| 1 | 227 | 112 |
| 2 | 1529 | 112 |
| 0 | 8367 | 112 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 226 to 86 computations (61.9% saved)
Compiled 520 to 222 computations (57.3% saved)
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