
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)
| 1.4s | 7 287× | 1 | valid |
| 57.0ms | 969× | 0 | valid |
ival-log: 371.0ms (31.5% of total)ival-log1p: 329.0ms (28% of total)adjust: 311.0ms (26.4% of total)ival-sub: 75.0ms (6.4% of total)ival-<: 38.0ms (3.2% of total)ival->: 29.0ms (2.5% of total)ival-and: 11.0ms (0.9% of total)exact: 10.0ms (0.8% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 248 | 0 | - | 1 | (21.85247541055) | (-.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 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 247 | 1 |
| - | 0 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 247 | 1 | 0 |
| - | 0 | 1 | 7 |
| number | freq |
|---|---|
| 0 | 9 |
| 1 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 73.0ms | 460× | 1 | valid |
| 3.0ms | 52× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-log: 24.0ms (40.7% of total)ival-log1p: 15.0ms (25.5% of total)adjust: 12.0ms (20.4% of total)ival-sub: 5.0ms (8.5% of total)ival-add: 3.0ms (5.1% 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 |
|---|---|---|
| ▶ | 20.9% | (-.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 N) | |
| accuracy | 0.00390625 | (log.f64 (+.f64 N #s(literal 1 binary64))) | |
| accuracy | 50.59711382941344 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 44.0ms | 230× | 1 | valid |
| 1.0ms | 26× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
adjust: 19.0ms (50.7% of total)ival-log1p: 8.0ms (21.4% of total)ival-log: 6.0ms (16% of total)ival-sub: 3.0ms (8% of total)ival-add: 1.0ms (2.7% 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 | |
|---|---|---|---|---|
| 29.0ms | N | @ | 0 | ((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N)) |
| 17.0ms | N | @ | -inf | ((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N)) |
| 6.0ms | 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)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 252 | 9 | 261 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 253 | 9 | 262 |
| Status | Accuracy | Program |
|---|---|---|
| 20.9% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) | |
| ▶ | 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))))) |
| 23.7% | (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N))) | |
| ▶ | 99.9% | (log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
| ▶ | 23.3% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
| 96.6% | #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)) | |
| ▶ | 95.4% | #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)) |
| 93.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) | |
| ▶ | 86.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
Compiled 312 to 196 computations (37.2% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) | |
| cost-diff | 0 | (pow.f64 N #s(literal -3 binary64)) | |
| cost-diff | 0 | (log1p.f64 (pow.f64 N #s(literal -3 binary64))) | |
| cost-diff | 0 | (-.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))))) | |
| 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 144 |
| 0 | 50 | 142 |
| 1 | 67 | 142 |
| 2 | 79 | 142 |
| 3 | 95 | 142 |
| 4 | 132 | 142 |
| 5 | 208 | 142 |
| 6 | 305 | 142 |
| 7 | 398 | 142 |
| 8 | 439 | 142 |
| 9 | 453 | 142 |
| 10 | 453 | 142 |
| 0 | 453 | 138 |
| 1× | iter limit |
| 1× | saturated |
| 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 (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))))) |
(log1p.f64 (pow.f64 N #s(literal -3 binary64))) |
(pow.f64 N #s(literal -3 binary64)) |
N |
#s(literal -3 binary64) |
(log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) |
(-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) |
(pow.f64 N #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(pow.f64 N #s(literal -1 binary64)) |
#s(literal -1 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 (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))))) |
(log1p.f64 (pow.f64 N #s(literal -3 binary64))) |
(pow.f64 N #s(literal -3 binary64)) |
N |
#s(literal -3 binary64) |
(log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) |
(-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) |
(pow.f64 N #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(pow.f64 N #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.02734375 | (log1p.f64 (pow.f64 N #s(literal -3 binary64))) | |
| accuracy | 0.05078125 | (-.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))))) | |
| accuracy | 0.1015625 | (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) | |
| accuracy | 0.11166000976844202 | (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) N) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 #s(literal 1 binary64) N) N) | |
| accuracy | 49.0936763835795 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) | |
| accuracy | 0.05859375 | (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) | |
| accuracy | 0.06640625 | (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) | |
| accuracy | 0.3359375 | (/.f64 #s(literal 1/3 binary64) N) | |
| accuracy | 2.8730727506720957 | #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 | 8.560633324236811 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) | |
| accuracy | 0.0 | (pow.f64 N #s(literal -1 binary64)) | |
| accuracy | 0.0859375 | (log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
| 162.0ms | 230× | 1 | valid |
| 6.0ms | 26× | 0 | valid |
Compiled 140 to 29 computations (79.3% saved)
adjust: 36.0ms (31.5% of total)ival-log: 18.0ms (15.8% of total)ival-log1p: 17.0ms (14.9% of total)ival-pow: 16.0ms (14% of total)ival-div: 9.0ms (7.9% of total)ival-sub: 9.0ms (7.9% of total)const: 7.0ms (6.1% of total)ival-add: 2.0ms (1.8% of total)exact: 1.0ms (0.9% 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 (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))))) |
(log1p.f64 (pow.f64 N #s(literal -3 binary64))) |
(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 #s(literal 1/3 binary64) N) |
(-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 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) |
(- (* -3 (log N)) (* -2 (log N))) |
(- (+ N (* -3 (log N))) (* -2 (log N))) |
(- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N))) |
(- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N))) |
(* -3 (log N)) |
(+ (* -3 (log N)) (pow N 3)) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3))))) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2))))) |
(/ 1 (pow N 3)) |
(* -2 (log N)) |
(+ (* -2 (log N)) (* -1 N)) |
(+ (* -2 (log N)) (* N (- (* 1/2 N) 1))) |
(+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1))) |
(/ 1/3 N) |
(/ 1 (pow N 2)) |
(/ (+ 1 (* -1 N)) (pow 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 |
(* N (+ 1 (/ 1 N))) |
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3)) |
(/ -1 N) |
(/ (- (* 1/2 (/ 1 N)) 1) N) |
(/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N) |
(/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N) |
(/ (- (/ 1 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)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N)) |
(* -1 (/ (- 1 (/ 1 N)) N)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | 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) (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) (log (+ 1 (pow N -3))) (pow N -3) (log (+ 1 (- (pow N -2) (pow N -1)))) (/ 1/3 N) (- (pow N -2) (pow N -1))) |
| 3.0ms | 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) (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) (log (+ 1 (pow N -3))) (pow N -3) (log (+ 1 (- (pow N -2) (pow N -1)))) (/ 1/3 N) (- (pow N -2) (pow N -1))) |
| 3.0ms | 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) (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) (log (+ 1 (pow N -3))) (pow N -3) (log (+ 1 (- (pow N -2) (pow N -1)))) (/ 1/3 N) (- (pow N -2) (pow N -1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 608 |
| 1 | 535 | 588 |
| 2 | 1676 | 565 |
| 3 | 6963 | 565 |
| 0 | 8327 | 546 |
| 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) |
(- (* -3 (log N)) (* -2 (log N))) |
(- (+ N (* -3 (log N))) (* -2 (log N))) |
(- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N))) |
(- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N))) |
(* -3 (log N)) |
(+ (* -3 (log N)) (pow N 3)) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3))))) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2))))) |
(/ 1 (pow N 3)) |
(* -2 (log N)) |
(+ (* -2 (log N)) (* -1 N)) |
(+ (* -2 (log N)) (* N (- (* 1/2 N) 1))) |
(+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1))) |
(/ 1/3 N) |
(/ 1 (pow N 2)) |
(/ (+ 1 (* -1 N)) (pow 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 |
(* N (+ 1 (/ 1 N))) |
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3)) |
(/ -1 N) |
(/ (- (* 1/2 (/ 1 N)) 1) N) |
(/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N) |
(/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N) |
(/ (- (/ 1 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)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N)) |
(* -1 (/ (- 1 (/ 1 N)) N)) |
| Outputs |
|---|
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(+ N (* -1 (log N))) |
(-.f64 N (log.f64 N)) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N))) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(- N (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))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ 1/3 (pow N 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N N)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) |
(/ (+ 1 N) N) |
(/.f64 (-.f64 N #s(literal -1 binary64)) N) |
1 |
#s(literal 1 binary64) |
(+ 1 N) |
(-.f64 N #s(literal -1 binary64)) |
(- (* -3 (log N)) (* -2 (log N))) |
(neg.f64 (log.f64 N)) |
(- (+ N (* -3 (log N))) (* -2 (log N))) |
(-.f64 N (log.f64 N)) |
(- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N))) |
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N))) |
(- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -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))) |
(* -3 (log N)) |
(*.f64 #s(literal -3 binary64) (log.f64 N)) |
(+ (* -3 (log N)) (pow N 3)) |
(fma.f64 #s(literal -3 binary64) (log.f64 N) (pow.f64 N #s(literal 3 binary64))) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3))))) |
(fma.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1/2 binary64) (fma.f64 #s(literal -3 binary64) (log.f64 N) (pow.f64 N #s(literal 3 binary64)))) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2))))) |
(fma.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -3 binary64) (log.f64 N) (pow.f64 N #s(literal 3 binary64)))) |
(/ 1 (pow N 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) |
(* -2 (log N)) |
(*.f64 #s(literal -2 binary64) (log.f64 N)) |
(+ (* -2 (log N)) (* -1 N)) |
(fma.f64 #s(literal -2 binary64) (log.f64 N) (neg.f64 N)) |
(+ (* -2 (log N)) (* N (- (* 1/2 N) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N (*.f64 #s(literal -2 binary64) (log.f64 N))) |
(+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) N #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N (*.f64 #s(literal -2 binary64) (log.f64 N))) |
(/ 1/3 N) |
(/.f64 #s(literal 1/3 binary64) N) |
(/ 1 (pow N 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) N) N) |
(/ (+ 1 (* -1 N)) (pow N 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N) |
(- 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)) |
(/ -1/2 N) |
(/.f64 #s(literal -1/2 binary64) N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(+ 1 (/ 1 N)) |
(/.f64 (-.f64 N #s(literal -1 binary64)) N) |
N |
(* N (+ 1 (/ 1 N))) |
(-.f64 N #s(literal -1 binary64)) |
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 9 binary64)))) (pow.f64 N #s(literal 3 binary64))) |
(/ -1 N) |
(/.f64 #s(literal -1 binary64) N) |
(/ (- (* 1/2 (/ 1 N)) 1) N) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N) |
(/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) |
(/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) |
(/ (- (/ 1 N) 1) N) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(/.f64 (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)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))) (pow.f64 N #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64))) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/3 binary64))) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 N #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(* -1 (/ (- 1 (/ 1 N)) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (neg.f64 N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 119 |
| 0 | 50 | 106 |
| 1 | 216 | 102 |
| 2 | 1496 | 102 |
| 0 | 8331 | 100 |
| 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 (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))))) |
(log1p.f64 (pow.f64 N #s(literal -3 binary64))) |
(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 #s(literal 1/3 binary64) N) |
(-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) |
| Outputs |
|---|
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (neg.f64 N) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 N)) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 (neg.f64 N) #s(literal -1 binary64))) (log.f64 (+.f64 (neg.f64 N) #s(literal -1 binary64))) (fma.f64 (log.f64 (neg.f64 N)) (log.f64 (neg.f64 N)) (*.f64 (log.f64 (+.f64 (neg.f64 N) #s(literal -1 binary64))) (log.f64 (neg.f64 N)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N)))) |
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(-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) |
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(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
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(pow.f64 (neg.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 (*.f64 N N) #s(literal -1/2 binary64)) |
(pow.f64 N #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (neg.f64 N)))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 N N)) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 N))) |
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(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64)))) (pow.f64 N #s(literal -1/2 binary64))) |
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(*.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 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 -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) |
(pow.f64 N #s(literal -1 binary64)) |
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(/.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) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 N)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 N)) |
(neg.f64 (/.f64 #s(literal -1 binary64) N)) |
(sqrt.f64 (pow.f64 N #s(literal -2 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 N #s(literal -1 binary64)))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) N)) |
(fabs.f64 (pow.f64 N #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N)))) |
(exp.f64 (fma.f64 (log.f64 N) #s(literal -1/2 binary64) (*.f64 (log.f64 N) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 N N)) #s(literal -1/2 binary64))) |
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(fma.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 N #s(literal -4 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) N)) (/.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) N))) |
(-.f64 (/.f64 (pow.f64 N #s(literal -6 binary64)) (+.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal -4 binary64)))) (/.f64 (pow.f64 N #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal -4 binary64))))) |
(-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 N #s(literal -4 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) N)) (/.f64 (*.f64 (neg.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -1 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) N))) |
(+.f64 (/.f64 (pow.f64 N #s(literal -6 binary64)) (+.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal -4 binary64)))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -3 binary64))) (+.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal -4 binary64))))) |
(+.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))) |
(+.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))) |
Compiled 14 172 to 2 280 computations (83.9% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 530 | 9 | 539 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 535 | 13 | 548 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))) | |
| 99.8% | (-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N)))) | |
| 99.2% | (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ▶ | 99.7% | (log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) |
| ▶ | 99.9% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| 96.6% | #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)) | |
| ✓ | 95.4% | #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)) |
| 93.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) | |
| ▶ | 95.1% | #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) (neg.f64 N)) N) (*.f64 N (neg.f64 N)))) |
| ▶ | 93.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
| ✓ | 86.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 95.4% | #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))) | |
| ▶ | 96.5% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) |
Compiled 414 to 312 computations (24.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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))) | |
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) | |
| cost-diff | 0 | #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) (neg.f64 N)) N) (*.f64 N (neg.f64 N)))) | |
| cost-diff | 2 | (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N))) | |
| cost-diff | 4 | (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) | |
| cost-diff | 0 | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) | |
| cost-diff | 1 | (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) | |
| cost-diff | 1 | (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N) | |
| cost-diff | 0 | (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) | |
| cost-diff | 0 | #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) | |
| 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 | 43 | 262 |
| 0 | 67 | 260 |
| 1 | 104 | 260 |
| 2 | 225 | 242 |
| 3 | 709 | 236 |
| 4 | 2190 | 235 |
| 5 | 6070 | 235 |
| 6 | 7170 | 235 |
| 0 | 8034 | 231 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N) |
(-.f64 N #s(literal 1/2 binary64)) |
N |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) |
(/.f64 #s(literal -1/4 binary64) N) |
#s(literal -1/4 binary64) |
N |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) |
(-.f64 N #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
(*.f64 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) (neg.f64 N)) N) (*.f64 N (neg.f64 N)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N))) |
(-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 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) |
(neg.f64 N) |
(*.f64 N (neg.f64 N)) |
(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) |
| 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 (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N) |
(-.f64 N #s(literal 1/2 binary64)) |
N |
#s(literal 1/2 binary64) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (pow.f64 N #s(literal 3 binary64)))) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (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 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) |
(/.f64 #s(literal -1/4 binary64) N) |
#s(literal -1/4 binary64) |
N |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) |
(-.f64 N #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
(*.f64 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) (neg.f64 N)) N) (*.f64 N (neg.f64 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 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 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) (neg.f64 N)) N) |
(-.f64 (neg.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) (neg.f64 N)) |
(neg.f64 (-.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) |
(neg.f64 N) |
(*.f64 N (neg.f64 N)) |
(*.f64 (neg.f64 N) N) |
(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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 N N) | |
| accuracy | 0.0859375 | (log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) | |
| accuracy | 0.15234375 | (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) | |
| accuracy | 0.20703125 | (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) | |
| accuracy | 0.2890625 | (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N))) | |
| accuracy | 0.3359375 | (/.f64 #s(literal 1/3 binary64) N) | |
| accuracy | 2.8730727506720957 | #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) (neg.f64 N)) N) (*.f64 N (neg.f64 N)))) | |
| accuracy | 0.015625 | (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) | |
| accuracy | 0.0546875 | (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N) | |
| accuracy | 0.16472626953688402 | (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) | |
| accuracy | 2.142569504855792 | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) | |
| accuracy | 0.06640625 | (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N) | |
| accuracy | 2.8730727506720957 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) | |
| accuracy | 4.387654419034536 | #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) N) | |
| accuracy | 0.0859375 | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| 128.0ms | 230× | 1 | valid |
| 31.0ms | 26× | 0 | valid |
Compiled 207 to 37 computations (82.1% saved)
ival-log1p: 41.0ms (31% of total)adjust: 25.0ms (18.9% of total)ival-div: 19.0ms (14.4% of total)ival-pow: 15.0ms (11.3% of total)ival-mult: 9.0ms (6.8% of total)ival-sub: 7.0ms (5.3% of total)ival-log: 6.0ms (4.5% of total)const: 4.0ms (3% of total)ival-add: 4.0ms (3% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% 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 (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N)))) |
(-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) |
(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) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) |
(/.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) |
(- 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)) |
(/ -1/2 N) |
(/ (- N 1/2) N) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ -1/4 N) |
(/ (- (* 1/3 N) 1/4) N) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) N) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) N) |
(/ -1/3 N) |
(/ (- (* 1/2 N) 1/3) N) |
(/ (- (* N (+ 1/2 (* -1 N))) 1/3) N) |
(pow N 2) |
1/3 |
(+ 1/3 (* -1/2 N)) |
(+ 1/3 (* N (- N 1/2))) |
(/ 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 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(* (pow N 2) (- 1 (* 1/2 (/ 1 N)))) |
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))) |
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))) |
1/2 |
(- 1/2 (* 1/3 (/ 1 N))) |
(* -1 N) |
(* N (- (* 1/2 (/ 1 N)) 1)) |
(* N (- (* 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 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))) |
(* (pow N 2) (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))) |
(* -1 (* N (- 1 (* 1/2 (/ 1 N))))) |
(* -1 (* N (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) 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)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | N | @ | 0 | ((log (+ 1 (/ 1 N))) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- N 1/2) N) (/ (/ (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (* N N)) N) (/ (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (* N N)) (log (+ 1 (pow N -1))) (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (/ (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (* N (neg N))) (- (log (+ N 1)) (log N)) (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) (+ (* (- N 1/2) N) 1/3) (/ 1/3 N)) |
| 2.0ms | N | @ | -inf | ((log (+ 1 (/ 1 N))) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- N 1/2) N) (/ (/ (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (* N N)) N) (/ (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (* N N)) (log (+ 1 (pow N -1))) (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (/ (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (* N (neg N))) (- (log (+ N 1)) (log N)) (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) (+ (* (- N 1/2) N) 1/3) (/ 1/3 N)) |
| 2.0ms | N | @ | inf | ((log (+ 1 (/ 1 N))) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- N 1/2) N) (/ (/ (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (* N N)) N) (/ (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (* N N)) (log (+ 1 (pow N -1))) (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (/ (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (* N (neg N))) (- (log (+ N 1)) (log N)) (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) (+ (* (- N 1/2) N) 1/3) (/ 1/3 N)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 572 |
| 1 | 422 | 549 |
| 2 | 1301 | 498 |
| 3 | 5090 | 494 |
| 0 | 8329 | 476 |
| 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)) |
(/ -1/2 N) |
(/ (- N 1/2) N) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ -1/4 N) |
(/ (- (* 1/3 N) 1/4) N) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) N) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) N) |
(/ -1/3 N) |
(/ (- (* 1/2 N) 1/3) N) |
(/ (- (* N (+ 1/2 (* -1 N))) 1/3) N) |
(pow N 2) |
1/3 |
(+ 1/3 (* -1/2 N)) |
(+ 1/3 (* N (- N 1/2))) |
(/ 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 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(* (pow N 2) (- 1 (* 1/2 (/ 1 N)))) |
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))) |
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))) |
1/2 |
(- 1/2 (* 1/3 (/ 1 N))) |
(* -1 N) |
(* N (- (* 1/2 (/ 1 N)) 1)) |
(* N (- (* 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 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))) |
(* (pow N 2) (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))) |
(* -1 (* N (- 1 (* 1/2 (/ 1 N))))) |
(* -1 (* N (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) 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)) |
| Outputs |
|---|
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(+ N (* -1 (log N))) |
(-.f64 N (log.f64 N)) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N))) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(- N (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))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ 1/3 (pow N 2)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) 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 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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) |
(/ -1/4 (pow N 4)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ -1/4 N) |
(/.f64 #s(literal -1/4 binary64) N) |
(/ (- (* 1/3 N) 1/4) N) |
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) N) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (/.f64 #s(literal 1/4 binary64) N)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) N) |
(-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 #s(literal 1/4 binary64) N)) |
(/ -1/3 N) |
(/.f64 #s(literal -1/3 binary64) N) |
(/ (- (* 1/2 N) 1/3) N) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) |
(/ (- (* N (+ 1/2 (* -1 N))) 1/3) N) |
(-.f64 (/.f64 #s(literal -1/3 binary64) N) (-.f64 N #s(literal 1/2 binary64))) |
(pow N 2) |
(*.f64 N N) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* -1/2 N)) |
(fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) |
(+ 1/3 (* N (- N 1/2))) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) |
(/ 1/3 N) |
(/.f64 #s(literal 1/3 binary64) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/.f64 (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 #s(literal 1/4 binary64) N)) (pow.f64 N #s(literal 3 binary64))) |
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 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(* (pow N 2) (- 1 (* 1/2 (/ 1 N)))) |
(*.f64 (-.f64 N #s(literal 1/2 binary64)) N) |
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) |
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) N N) N) |
1/2 |
#s(literal 1/2 binary64) |
(- 1/2 (* 1/3 (/ 1 N))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) |
(* -1 N) |
(neg.f64 N) |
(* N (- (* 1/2 (/ 1 N)) 1)) |
(-.f64 #s(literal 1/2 binary64) N) |
(* N (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) N) (-.f64 N #s(literal 1/2 binary64))) N) N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64)) N) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) |
(* (pow N 2) (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) N N) N) |
(* -1 (* N (- 1 (* 1/2 (/ 1 N))))) |
(-.f64 #s(literal 1/2 binary64) N) |
(* -1 (* N (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
(-.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 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N) #s(literal 1 binary64)) (neg.f64 N)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 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) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 219 |
| 0 | 67 | 211 |
| 1 | 257 | 201 |
| 2 | 1751 | 199 |
| 0 | 8123 | 199 |
| 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 (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N)))) |
(-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) |
(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) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
| Outputs |
|---|
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (+.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)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (expm1.f64 (neg.f64 (log.f64 N))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #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 (neg.f64 (+.f64 N #s(literal 1 binary64)))) (log.f64 (neg.f64 N))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) N))) |
(-.f64 (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 (expm1.f64 (neg.f64 (log.f64 N))) N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
(*.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 (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 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 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 -1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal 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 4 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 N) #s(literal -1 binary64)) |
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 N (neg.f64 N))) (neg.f64 N)) |
(/.f64 (/.f64 N (neg.f64 N)) N) |
(/.f64 (neg.f64 (neg.f64 N)) (*.f64 (neg.f64 N) N)) |
(/.f64 (neg.f64 N) (*.f64 N N)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 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) |
(/.f64 N (*.f64 (neg.f64 N) 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 (/.f64 N (*.f64 N 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 (log.f64 N) #s(literal -1/2 binary64) (*.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 (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 (*.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 (*.f64 (*.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 (*.f64 (log.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))))) (neg.f64 (neg.f64 (neg.f64 N)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)))) (neg.f64 (neg.f64 N))) |
(/.f64 (neg.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))) (neg.f64 N)) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))) N)) |
(neg.f64 (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (neg.f64 N))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.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 (neg.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (neg.f64 N)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N))) (*.f64 (neg.f64 N) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (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) (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.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 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (*.f64 (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64))) N))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 N))) |
(/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) |
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N)) |
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64))) N)) |
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (neg.f64 N)) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N) |
(neg.f64 (/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) N)) |
(neg.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (neg.f64 N))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) (/.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 binary64) (+.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 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.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 (*.f64 N N) (*.f64 N N)) (/.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 N N))) |
(-.f64 (/.f64 (*.f64 N N) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) |
(-.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (*.f64 (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64))) N)) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64))) N))) |
(-.f64 (/.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal 1/2 binary64) N)) N) (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) N)) N)) |
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64)))) N) (/.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64)))) N)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) N (*.f64 N (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) N))) (*.f64 N N)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (pow.f64 N #s(literal 3 binary64)) (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 N #s(literal 6 binary64))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)) (*.f64 (pow.f64 N #s(literal 3 binary64)) (/.f64 #s(literal -1/4 binary64) N))) (pow.f64 N #s(literal 6 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (pow.f64 N #s(literal 3 binary64)) (*.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)))) (pow.f64 N #s(literal 6 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (pow.f64 N #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 #s(literal -1/4 binary64) N)) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64))) (pow.f64 N #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) N)) (*.f64 (neg.f64 N) N)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))))) (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) N))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))))) (neg.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)))) |
(/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) N) (*.f64 N N)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (pow.f64 N #s(literal 3 binary64)))) |
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(/.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 (*.f64 (neg.f64 N) N) N)) |
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(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))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))) (*.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))) #s(literal 1/27 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)))) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) |
(fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))) (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)))) |
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) N)) |
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))))) |
(+.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.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)) |
(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 (neg.f64 (/.f64 #s(literal 1/3 binary64) N))) |
(fabs.f64 (/.f64 #s(literal 1/3 binary64) N)) |
Compiled 16 847 to 2 386 computations (85.8% saved)
28 alts after pruning (23 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 490 | 17 | 507 |
| Fresh | 0 | 6 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 492 | 28 | 520 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))) | |
| ▶ | 99.8% | (-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N)))) |
| 99.2% | (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ✓ | 99.7% | (log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) |
| ✓ | 99.9% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| 96.6% | #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)) | |
| ✓ | 95.4% | #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)) |
| 93.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) | |
| 95.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N)))) | |
| 92.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) | |
| ▶ | 93.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) |
| 95.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)) N)) | |
| ▶ | 86.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
| ✓ | 86.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| ▶ | 95.4% | #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))) |
| ▶ | 96.5% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
| 96.4% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) (neg.f64 (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) | |
| 96.3% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (*.f64 (neg.f64 N) N) (*.f64 N (neg.f64 (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 N (*.f64 (neg.f64 N) N))) N)) | |
| 96.4% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (*.f64 (neg.f64 N) N) (*.f64 N (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))))) (*.f64 N (*.f64 (neg.f64 N) N))) N)) | |
| 96.5% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) N (*.f64 N (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N))) (*.f64 N N)) N)) | |
| 96.4% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) | |
| 96.2% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) N) (*.f64 N N))) | |
| 96.5% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal 1/3 binary64)) (*.f64 N N)) N)) | |
| 96.4% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (neg.f64 N)) (/.f64 (/.f64 #s(literal 1/4 binary64) N) N)) (neg.f64 N)) N)) | |
| ✓ | 96.5% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) |
| 96.5% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (*.f64 N N)) N)) | |
| 95.4% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) | |
| 96.2% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
Compiled 1 299 to 912 computations (29.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 2 | (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N) | |
| cost-diff | 4 | (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N)) | |
| cost-diff | 4 | (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) | |
| cost-diff | 5 | (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 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 | (-.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 (- (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 | 0 | #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) | |
| cost-diff | 2 | (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N)) | |
| cost-diff | 0 | (neg.f64 N) | |
| cost-diff | 0 | #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N))) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) | |
| cost-diff | 0 | (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N))) | |
| cost-diff | 0 | (pow.f64 N #s(literal -3 binary64)) | |
| cost-diff | 0 | (log1p.f64 (pow.f64 N #s(literal -3 binary64))) | |
| cost-diff | 0 | (-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 467 |
| 0 | 99 | 467 |
| 1 | 157 | 455 |
| 2 | 456 | 415 |
| 3 | 2206 | 396 |
| 0 | 8451 | 388 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N)))) |
(log1p.f64 (pow.f64 N #s(literal -3 binary64))) |
(pow.f64 N #s(literal -3 binary64)) |
N |
#s(literal -3 binary64) |
(log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N))) |
#s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N) |
(/.f64 (-.f64 #s(literal 1 binary64) N) N) |
(-.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
(/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N))) |
#s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) |
(neg.f64 N) |
N |
(*.f64 N (neg.f64 N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) |
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N)) |
(-.f64 (*.f64 N N) #s(literal 1/4 binary64)) |
(*.f64 N N) |
N |
#s(literal 1/4 binary64) |
(*.f64 (+.f64 #s(literal 1/2 binary64) N) N) |
(+.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.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 (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) |
(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) |
(-.f64 N #s(literal 1/2 binary64)) |
N |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1/4 binary64) N) |
#s(literal -1/4 binary64) |
(*.f64 (neg.f64 N) N) |
(neg.f64 N) |
(*.f64 (*.f64 N N) #s(literal -1/3 binary64)) |
(*.f64 N N) |
#s(literal -1/3 binary64) |
(*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N)) |
| Outputs |
|---|
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N)))) |
(log1p.f64 (pow.f64 N #s(literal -3 binary64))) |
(pow.f64 N #s(literal -3 binary64)) |
N |
#s(literal -3 binary64) |
(log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N))) |
#s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N) |
(/.f64 (-.f64 #s(literal 1 binary64) N) N) |
(-.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 (neg.f64 N) N))) |
(/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N))) |
(/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 (neg.f64 N) N)) |
#s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) |
(neg.f64 N) |
N |
(*.f64 N (neg.f64 N)) |
(*.f64 (neg.f64 N) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N (/.f64 #s(literal 1/4 binary64) N)) (+.f64 #s(literal 1/2 binary64) N))) N)) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N (/.f64 #s(literal 1/4 binary64) N)) (+.f64 #s(literal 1/2 binary64) N))) N) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N (/.f64 #s(literal 1/4 binary64) N)) (+.f64 #s(literal 1/2 binary64) N))) |
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N)) |
(/.f64 (-.f64 N (/.f64 #s(literal 1/4 binary64) N)) (+.f64 #s(literal 1/2 binary64) N)) |
(-.f64 (*.f64 N N) #s(literal 1/4 binary64)) |
(*.f64 N N) |
N |
#s(literal 1/4 binary64) |
(*.f64 (+.f64 #s(literal 1/2 binary64) N) N) |
(+.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 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)) (*.f64 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)) (*.f64 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 (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N) |
(/.f64 (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) |
(/.f64 (/.f64 (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64)) N) N) |
(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) |
(*.f64 (*.f64 N (-.f64 #s(literal -1/3 binary64) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)))) N) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) |
(-.f64 N #s(literal 1/2 binary64)) |
N |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1/4 binary64) N) |
#s(literal -1/4 binary64) |
(*.f64 (neg.f64 N) N) |
(neg.f64 N) |
(*.f64 (*.f64 N N) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 N N)) |
(*.f64 N N) |
#s(literal -1/3 binary64) |
(*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N)) |
(neg.f64 (pow.f64 N #s(literal 4 binary64))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.40234375 | (*.f64 (*.f64 N N) #s(literal -1/3 binary64)) | |
| accuracy | 0.4489250488422102 | (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) | |
| accuracy | 0.49417880861065216 | (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N)) | |
| accuracy | 2.142569504855792 | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) | |
| accuracy | 0.08203125 | (-.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 | 0.2890625 | (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) | |
| accuracy | 0.3359375 | (/.f64 #s(literal 1/3 binary64) N) | |
| accuracy | 2.8730727506720957 | #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 | 0.06640625 | (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N) | |
| accuracy | 0.16634750976844204 | (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N)) | |
| accuracy | 2.8730727506720957 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) | |
| accuracy | 4.387654419034536 | #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) | |
| accuracy | 0.0 | (neg.f64 N) | |
| accuracy | 0.2890625 | (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N))) | |
| accuracy | 2.8730727506720957 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) | |
| accuracy | 8.579371611959287 | #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) | |
| accuracy | 0.02734375 | (log1p.f64 (pow.f64 N #s(literal -3 binary64))) | |
| accuracy | 0.05078125 | (-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N)))) | |
| accuracy | 0.09765625 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N) | |
| accuracy | 0.1015625 | (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N))) |
| 212.0ms | 230× | 1 | valid |
| 10.0ms | 26× | 0 | valid |
Compiled 341 to 55 computations (83.9% saved)
adjust: 51.0ms (28.3% of total)ival-mult: 38.0ms (21.1% of total)ival-div: 23.0ms (12.7% of total)ival-log1p: 17.0ms (9.4% of total)ival-sub: 16.0ms (8.9% of total)ival-pow: 15.0ms (8.3% of total)const: 7.0ms (3.9% of total)ival-log: 6.0ms (3.3% of total)ival-add: 5.0ms (2.8% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N)))) |
(log1p.f64 (pow.f64 N #s(literal -3 binary64))) |
(pow.f64 N #s(literal -3 binary64)) |
(log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
(/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N))) |
#s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) |
(neg.f64 N) |
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
(-.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 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) |
(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) |
(*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
(*.f64 (*.f64 N N) #s(literal -1/3 binary64)) |
| Outputs |
|---|
(- (* -3 (log N)) (* -2 (log N))) |
(- (+ N (* -3 (log N))) (* -2 (log N))) |
(- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N))) |
(- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N))) |
(* -3 (log N)) |
(+ (* -3 (log N)) (pow N 3)) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3))))) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2))))) |
(/ 1 (pow N 3)) |
(* -2 (log N)) |
(+ (* -2 (log N)) (* -1 N)) |
(+ (* -2 (log N)) (* N (- (* 1/2 N) 1))) |
(+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1))) |
(* -1 (log 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 N) |
(/ (- (* 1/2 N) 1/3) N) |
(/ (- (* N (+ 1/2 (* -1 N))) 1/3) N) |
(* -1 N) |
(/ -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)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(* 1/4 N) |
(* N (+ 1/4 (* -1/3 N))) |
(* N (+ 1/4 (* N (- (* 1/2 N) 1/3)))) |
(* N (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3)))) |
(* -1 (pow N 4)) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ 1 (pow N 2)) |
(/ (+ 1 (* -1 N)) (pow N 2)) |
(/ 1/3 N) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(* -1/3 (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) |
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3)) |
(/ -1 N) |
(/ (- (* 1/2 (/ 1 N)) 1) N) |
(/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N) |
(/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N) |
(* N (- (* 1/2 (/ 1 N)) 1)) |
(* N (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(/ -1/2 (pow N 2)) |
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(* (pow N 4) (- (* 1/2 (/ 1 N)) 1)) |
(* (pow N 4) (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))) |
(* (pow N 4) (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))) |
(/ (- (/ 1 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)) |
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N)) |
(* -1 (* N (- 1 (* 1/2 (/ 1 N))))) |
(* -1 (* N (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* (pow N 4) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)) |
(* (pow N 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)) |
(* -1 (/ (- 1 (/ 1 N)) N)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | N | @ | -inf | ((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) (log (+ 1 (pow N -3))) (pow N -3) (log (+ 1 (- (pow N -2) (pow N -1)))) (- (log (+ N 1)) (log N)) (/ (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (* N (neg N))) (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg N) (/ (- (* N N) 1/4) (* (+ 1/2 N) N)) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (/ (+ (* (+ (* (- N 1/2) N) (/ -1/4 N)) (* (neg N) N)) (* (* N N) -1/3)) (* (* N N) (* (neg N) N))) (+ (* (+ (* (- N 1/2) N) (/ -1/4 N)) (* (neg N) N)) (* (* N N) -1/3)) (* (* N N) (* (neg N) N)) (/ (/ (+ (* (+ (* (- N 1/2) N) (/ -1/4 N)) (* (neg N) N)) (* (* N N) -1/3)) (* (* N N) (* (neg N) N))) N) (/ (/ (- 1 N) N) N) (/ 1/3 N) (log (+ 1 (pow N -1))) (* (* N N) -1/3)) |
| 4.0ms | N | @ | inf | ((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) (log (+ 1 (pow N -3))) (pow N -3) (log (+ 1 (- (pow N -2) (pow N -1)))) (- (log (+ N 1)) (log N)) (/ (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (* N (neg N))) (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg N) (/ (- (* N N) 1/4) (* (+ 1/2 N) N)) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (/ (+ (* (+ (* (- N 1/2) N) (/ -1/4 N)) (* (neg N) N)) (* (* N N) -1/3)) (* (* N N) (* (neg N) N))) (+ (* (+ (* (- N 1/2) N) (/ -1/4 N)) (* (neg N) N)) (* (* N N) -1/3)) (* (* N N) (* (neg N) N)) (/ (/ (+ (* (+ (* (- N 1/2) N) (/ -1/4 N)) (* (neg N) N)) (* (* N N) -1/3)) (* (* N N) (* (neg N) N))) N) (/ (/ (- 1 N) N) N) (/ 1/3 N) (log (+ 1 (pow N -1))) (* (* N N) -1/3)) |
| 4.0ms | N | @ | 0 | ((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) (log (+ 1 (pow N -3))) (pow N -3) (log (+ 1 (- (pow N -2) (pow N -1)))) (- (log (+ N 1)) (log N)) (/ (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (* N (neg N))) (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg N) (/ (- (* N N) 1/4) (* (+ 1/2 N) N)) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (/ (+ (* (+ (* (- N 1/2) N) (/ -1/4 N)) (* (neg N) N)) (* (* N N) -1/3)) (* (* N N) (* (neg N) N))) (+ (* (+ (* (- N 1/2) N) (/ -1/4 N)) (* (neg N) N)) (* (* N N) -1/3)) (* (* N N) (* (neg N) N)) (/ (/ (+ (* (+ (* (- N 1/2) N) (/ -1/4 N)) (* (neg N) N)) (* (* N N) -1/3)) (* (* N N) (* (neg N) N))) N) (/ (/ (- 1 N) N) N) (/ 1/3 N) (log (+ 1 (pow N -1))) (* (* N N) -1/3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 236 | 948 |
| 1 | 706 | 877 |
| 2 | 2177 | 824 |
| 0 | 8065 | 800 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* -3 (log N)) (* -2 (log N))) |
(- (+ N (* -3 (log N))) (* -2 (log N))) |
(- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N))) |
(- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N))) |
(* -3 (log N)) |
(+ (* -3 (log N)) (pow N 3)) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3))))) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2))))) |
(/ 1 (pow N 3)) |
(* -2 (log N)) |
(+ (* -2 (log N)) (* -1 N)) |
(+ (* -2 (log N)) (* N (- (* 1/2 N) 1))) |
(+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1))) |
(* -1 (log 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 N) |
(/ (- (* 1/2 N) 1/3) N) |
(/ (- (* N (+ 1/2 (* -1 N))) 1/3) N) |
(* -1 N) |
(/ -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)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(* 1/4 N) |
(* N (+ 1/4 (* -1/3 N))) |
(* N (+ 1/4 (* N (- (* 1/2 N) 1/3)))) |
(* N (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3)))) |
(* -1 (pow N 4)) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ 1 (pow N 2)) |
(/ (+ 1 (* -1 N)) (pow N 2)) |
(/ 1/3 N) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(* -1/3 (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) |
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3)) |
(/ -1 N) |
(/ (- (* 1/2 (/ 1 N)) 1) N) |
(/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N) |
(/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N) |
(* N (- (* 1/2 (/ 1 N)) 1)) |
(* N (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(/ -1/2 (pow N 2)) |
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(* (pow N 4) (- (* 1/2 (/ 1 N)) 1)) |
(* (pow N 4) (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))) |
(* (pow N 4) (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))) |
(/ (- (/ 1 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)) |
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N)) |
(* -1 (* N (- 1 (* 1/2 (/ 1 N))))) |
(* -1 (* N (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* (pow N 4) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)) |
(* (pow N 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)) |
(* -1 (/ (- 1 (/ 1 N)) N)) |
| Outputs |
|---|
(- (* -3 (log N)) (* -2 (log N))) |
(neg.f64 (log.f64 N)) |
(- (+ N (* -3 (log N))) (* -2 (log N))) |
(-.f64 N (log.f64 N)) |
(- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N))) |
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N))) |
(- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N))) |
(fma.f64 (*.f64 N N) (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (-.f64 N (log.f64 N))) |
(* -3 (log N)) |
(*.f64 #s(literal -3 binary64) (log.f64 N)) |
(+ (* -3 (log N)) (pow N 3)) |
(fma.f64 #s(literal -3 binary64) (log.f64 N) (pow.f64 N #s(literal 3 binary64))) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3))))) |
(fma.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1/2 binary64) (fma.f64 #s(literal -3 binary64) (log.f64 N) (pow.f64 N #s(literal 3 binary64)))) |
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2))))) |
(fma.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -3 binary64) (log.f64 N) (pow.f64 N #s(literal 3 binary64)))) |
(/ 1 (pow N 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) |
(* -2 (log N)) |
(*.f64 (log.f64 N) #s(literal -2 binary64)) |
(+ (* -2 (log N)) (* -1 N)) |
(fma.f64 (log.f64 N) #s(literal -2 binary64) (neg.f64 N)) |
(+ (* -2 (log N)) (* N (- (* 1/2 N) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N (*.f64 (log.f64 N) #s(literal -2 binary64))) |
(+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) N #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N (*.f64 (log.f64 N) #s(literal -2 binary64))) |
(* -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 N N) (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (-.f64 N (log.f64 N))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ -1/3 N) |
(/.f64 #s(literal -1/3 binary64) N) |
(/ (- (* 1/2 N) 1/3) N) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) |
(/ (- (* N (+ 1/2 (* -1 N))) 1/3) N) |
(-.f64 (-.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/3 binary64) N)) |
(* -1 N) |
(neg.f64 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 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) |
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(* 1/4 N) |
(*.f64 #s(literal 1/4 binary64) N) |
(* N (+ 1/4 (* -1/3 N))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) |
(* N (+ 1/4 (* N (- (* 1/2 N) 1/3)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) N) |
(* N (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) N) |
(* -1 (pow N 4)) |
(neg.f64 (pow.f64 N #s(literal 4 binary64))) |
(/ -1/4 (pow N 4)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ 1 (pow N 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 N N)) |
(/ (+ 1 (* -1 N)) (pow N 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N) |
(/ 1/3 N) |
(/.f64 #s(literal 1/3 binary64) 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 N N) (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (-.f64 N (log.f64 N))) |
(* -1/3 (pow N 2)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) N) N) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) N) |
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 9 binary64)))) (pow.f64 N #s(literal 3 binary64))) |
(/ -1 N) |
(/.f64 #s(literal -1 binary64) N) |
(/ (- (* 1/2 (/ 1 N)) 1) N) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N) |
(/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) |
(/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 2/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) |
(* N (- (* 1/2 (/ 1 N)) 1)) |
(-.f64 #s(literal 1/2 binary64) N) |
(* N (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) 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 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) |
(/ -1/2 (pow N 2)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(* (pow N 4) (- (* 1/2 (/ 1 N)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(* (pow N 4) (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(* (pow N 4) (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (/ 1 N) 1) N) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal 1 binary64)) (neg.f64 N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (neg.f64 N)) |
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))) |
(/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 2/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(* -1 (* N (- 1 (* 1/2 (/ 1 N))))) |
(-.f64 #s(literal 1/2 binary64) N) |
(* -1 (* N (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
(neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(* (pow N 4) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(* (pow N 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(* -1 (/ (- 1 (/ 1 N)) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (neg.f64 N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 378 |
| 0 | 99 | 347 |
| 1 | 399 | 319 |
| 2 | 2948 | 311 |
| 0 | 9393 | 298 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N)))) |
(log1p.f64 (pow.f64 N #s(literal -3 binary64))) |
(pow.f64 N #s(literal -3 binary64)) |
(log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
(/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N))) |
#s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) |
(neg.f64 N) |
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) |
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
(-.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 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) |
(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) |
(*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
(*.f64 (*.f64 N N) #s(literal -1/3 binary64)) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (+.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) #s(literal 2 binary64))) (+.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (+.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))))) (log.f64 (neg.f64 (+.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) (/.f64 (pow.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) #s(literal 2 binary64)) (+.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (+.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (+.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -6 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) (+.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -9 binary64))) (log.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64))) (pow.f64 N #s(literal -3 binary64))) (+.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) (+.f64 (pow.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)) #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) (+.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 1 binary64)))) |
(log1p.f64 (pow.f64 N #s(literal -3 binary64))) |
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64)))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal -9 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64))) (pow.f64 N #s(literal -3 binary64)))))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -6 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -9 binary64))) (log.f64 (+.f64 (pow.f64 N #s(literal -6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64)))))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -9 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) (pow.f64 N #s(literal -3 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 N #s(literal -3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 N #s(literal -3/2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3/2 binary64)))) (pow.f64 N #s(literal -3/2 binary64))) |
(*.f64 (fabs.f64 (pow.f64 N #s(literal -5/2 binary64))) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 N #s(literal -3/2 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 N #s(literal -3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -3/2 binary64)) (pow.f64 N #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 N #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3/2 binary64))) (pow.f64 N #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 N #s(literal -5/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 N #s(literal -3/2 binary64))) (neg.f64 (pow.f64 N #s(literal -3/2 binary64)))) |
(*.f64 (pow.f64 N #s(literal -3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 N #s(literal -3/2 binary64)) (pow.f64 N #s(literal -3/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64))) |
(*.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) |
(*.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal -3 binary64)) (log.f64 N)) |
(pow.f64 (neg.f64 (pow.f64 N #s(literal -3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 N #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 N) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) N) (pow.f64 N #s(literal -1 binary64))) N (*.f64 N (*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)))) (*.f64 N N)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 N N)) (pow.f64 N #s(literal 5 binary64)) (*.f64 (pow.f64 N #s(literal 5 binary64)) (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) N) (neg.f64 N)))) (*.f64 (pow.f64 N #s(literal 5 binary64)) (pow.f64 N #s(literal 5 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) N) (neg.f64 N)) (pow.f64 N #s(literal 5 binary64)) (*.f64 (pow.f64 N #s(literal 5 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 N N)))) (*.f64 (pow.f64 N #s(literal 5 binary64)) (pow.f64 N #s(literal 5 binary64)))) |
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64))) (*.f64 N N)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) N) (neg.f64 N) (*.f64 (*.f64 N N) #s(literal 1/3 binary64))) (pow.f64 N #s(literal 5 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)) (*.f64 #s(literal -1/27 binary64) (pow.f64 N #s(literal 6 binary64)))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) N) (neg.f64 N)) (*.f64 #s(literal -1/3 binary64) (*.f64 N N))))) (pow.f64 N #s(literal 5 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64)))) (neg.f64 (pow.f64 N #s(literal 5 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64)))) (pow.f64 N #s(literal 5 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64))) (pow.f64 N #s(literal 4 binary64))) (neg.f64 (neg.f64 N))) |
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64))) (pow.f64 N #s(literal 4 binary64))) (neg.f64 N)) |
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64))) (pow.f64 N #s(literal 4 binary64))) N) |
(/.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64))) (pow.f64 N #s(literal 5 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64))) (pow.f64 N #s(literal 5 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) N) (neg.f64 N)) (pow.f64 N #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 N) N)) (pow.f64 N #s(literal 5 binary64)))) |
(+.f64 (/.f64 (*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) N) (pow.f64 N #s(literal -1 binary64))) N) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) N)) |
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 N N)) (pow.f64 N #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) N) (neg.f64 N)) (pow.f64 N #s(literal 5 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) N) (neg.f64 N)) (pow.f64 N #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 N N)) (pow.f64 N #s(literal 5 binary64)))) |
(*.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -1/2 binary64))) (-.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 N)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)) N) |
(/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) N) |
(/.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 N)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) (pow.f64 N #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) (pow.f64 N #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal -4 binary64))))) |
(/.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) (pow.f64 N #s(literal -2 binary64))) (+.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (*.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (*.f64 N N))) |
(/.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) (pow.f64 N #s(literal -3 binary64))) (+.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 N) N)) |
(/.f64 (neg.f64 (expm1.f64 (neg.f64 (log.f64 N)))) (neg.f64 N)) |
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) (neg.f64 (neg.f64 N))) |
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) |
(/.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) |
(neg.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) (neg.f64 N))) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 N #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))) |
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -3/2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -3/2 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))) |
(fma.f64 (pow.f64 N #s(literal -3/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 N #s(literal -3/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))) |
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))) |
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))) |
(fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 N #s(literal -4 binary64)) (+.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64)))) (/.f64 (pow.f64 N #s(literal -2 binary64)) (+.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64))))) |
(-.f64 (/.f64 (pow.f64 N #s(literal -6 binary64)) (+.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal -4 binary64)))) (/.f64 (pow.f64 N #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal -4 binary64))))) |
(-.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 N (*.f64 N N))) |
(-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) |
(+.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))) |
(+.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (pow.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 (neg.f64 (/.f64 #s(literal 1/3 binary64) N))) |
(fabs.f64 (/.f64 #s(literal 1/3 binary64) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64))) (pow.f64 N #s(literal 5 binary64)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (neg.f64 N)) (neg.f64 N)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) N) N) |
(*.f64 #s(literal -1/3 binary64) (*.f64 N N)) |
(*.f64 (*.f64 N N) #s(literal -1/3 binary64)) |
(*.f64 (neg.f64 N) (*.f64 (neg.f64 N) #s(literal -1/3 binary64))) |
(*.f64 N (*.f64 #s(literal -1/3 binary64) N)) |
Compiled 17 202 to 2 220 computations (87.1% saved)
31 alts after pruning (24 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 481 | 9 | 490 |
| Fresh | 3 | 15 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 487 | 31 | 518 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N)))) |
| 99.6% | (-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))) | |
| 99.5% | (-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))))) | |
| 99.2% | (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ✓ | 99.7% | (log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) |
| ✓ | 99.9% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| 96.6% | #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)) | |
| ✓ | 95.4% | #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)) |
| 93.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) | |
| 95.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N)))) | |
| 92.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) | |
| 95.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)) N)) | |
| ✓ | 86.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
| ✓ | 86.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 95.4% | #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))) | |
| 93.2% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)) (/.f64 #s(literal -1 binary64) N))) | |
| 96.1% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N)) (neg.f64 N))) N)) | |
| 96.3% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (*.f64 (neg.f64 N) N) (*.f64 N (neg.f64 (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 N (*.f64 (neg.f64 N) N))) N)) | |
| 96.4% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (*.f64 (neg.f64 N) N) (*.f64 N (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))))) (*.f64 N (*.f64 (neg.f64 N) N))) N)) | |
| 96.5% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) N (*.f64 N (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N))) (*.f64 N N)) N)) | |
| 96.2% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) N) (*.f64 N N))) | |
| 96.0% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N)) N (*.f64 #s(literal -1/3 binary64) (*.f64 N N))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) | |
| 96.4% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64))) (*.f64 (neg.f64 N) N)) (*.f64 N N)) N)) | |
| 96.5% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal 1/3 binary64)) (*.f64 N N)) N)) | |
| 96.4% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (neg.f64 N)) (/.f64 (/.f64 #s(literal 1/4 binary64) N) N)) (neg.f64 N)) N)) | |
| ✓ | 96.5% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) |
| 96.5% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (*.f64 N N)) N)) | |
| 96.4% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) | |
| 95.4% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) | |
| 96.0% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (* (+ (* (- N 1/2) N) (/ -1/4 N)) (* (neg N) N)) (* (* N N) -1/3)) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) N)) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) | |
| 96.2% | #s(approx (log (+ 1 (pow N -1))) (/.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
Compiled 1 896 to 831 computations (56.2% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) 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(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N)))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (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) N) (/.f64 (/.f64 #s(literal -1/2 binary64) 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 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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 (/.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 (+ 1 (pow N -1))) (/.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal 1/3 binary64)) (*.f64 N N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (*.f64 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) (neg.f64 N)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (* (+ (* (- N 1/2) N) (/ -1/4 N)) (* (neg N) N)) (* (* N N) -1/3)) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) N)) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (neg.f64 N)) (/.f64 (/.f64 #s(literal 1/4 binary64) N) N)) (neg.f64 N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64))) (*.f64 (neg.f64 N) N)) (*.f64 N N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) N (*.f64 N (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N))) (*.f64 N N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N)) N (*.f64 #s(literal -1/3 binary64) (*.f64 N N))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) (neg.f64 (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (*.f64 (neg.f64 N) N) (*.f64 N (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))))) (*.f64 N (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (*.f64 (neg.f64 N) N) (*.f64 N (neg.f64 (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 N (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N)) (neg.f64 N))) N)) |
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N))) |
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N) N)))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.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 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
2 calls:
| 28.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 11.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 99.9% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) 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(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N)))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (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) N) (/.f64 (/.f64 #s(literal -1/2 binary64) 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 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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 (/.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 (+ 1 (pow N -1))) (/.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal 1/3 binary64)) (*.f64 N N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (*.f64 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) (neg.f64 N)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (* (+ (* (- N 1/2) N) (/ -1/4 N)) (* (neg N) N)) (* (* N N) -1/3)) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) N)) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (neg.f64 N)) (/.f64 (/.f64 #s(literal 1/4 binary64) N) N)) (neg.f64 N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 N) N) (-.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/3 binary64))) (*.f64 (neg.f64 N) N)) (*.f64 N N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) N (*.f64 N (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N))) (*.f64 N N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N)) N (*.f64 #s(literal -1/3 binary64) (*.f64 N N))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) (neg.f64 (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (*.f64 (neg.f64 N) N) (*.f64 N (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))))) (*.f64 N (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (*.f64 (neg.f64 N) N) (*.f64 N (neg.f64 (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 N (*.f64 (neg.f64 N) N))) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 N N) #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N)) (neg.f64 N))) 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:
| 8.0ms | N |
| 6.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 96.6% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) 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(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N)))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (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) N) (/.f64 (/.f64 #s(literal -1/2 binary64) 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 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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 (/.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 (+ 1 (pow N -1))) (/.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (/.f64 #s(literal -1/4 binary64) N)) #s(literal 1/3 binary64)) (*.f64 N N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (*.f64 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) (neg.f64 N)) N) (*.f64 N (neg.f64 N)))) |
| Outputs |
|---|
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) |
2 calls:
| 5.0ms | N |
| 4.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 96.5% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) 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(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N)))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (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) N) (/.f64 (/.f64 #s(literal -1/2 binary64) 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 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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 (/.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 (+ 1 (pow N -1))) (/.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
| Outputs |
|---|
#s(approx (log (+ 1 (pow N -1))) (/.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
2 calls:
| 4.0ms | N |
| 3.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 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 (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) 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(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N)))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (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) N) (/.f64 (/.f64 #s(literal -1/2 binary64) 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 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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 (/.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 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))) |
2 calls:
| 26.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 4.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | N |
| 95.4% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) 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(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N)))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (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) N) (/.f64 (/.f64 #s(literal -1/2 binary64) 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 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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)) |
| 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 |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 95.4% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) 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(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N)))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (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) N) (/.f64 (/.f64 #s(literal -1/2 binary64) 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 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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 |
|---|---|---|
| 95.4% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 95.4% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) 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(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N)))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (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) N) (/.f64 (/.f64 #s(literal -1/2 binary64) 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 N N) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) N))) N)) |
| Outputs |
|---|
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (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 |
|---|---|---|
| 95.4% | 1 | N |
| 95.4% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) 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(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N)))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N)))) |
2 calls:
| 2.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 95.1% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)) |
2 calls:
| 2.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 93.2% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
2 calls:
| 10.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 2.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 93.2% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
2 calls:
| 1.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 92.9% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
Total -0.2b remaining (-2.3%)
Threshold costs -0.2b (-2.3%)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 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 |
|---|---|---|
| 86.6% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 86.6% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 284 |
| 1 | 131 | 284 |
| 2 | 193 | 282 |
| 3 | 264 | 278 |
| 4 | 359 | 274 |
| 5 | 461 | 274 |
| 6 | 761 | 274 |
| 7 | 1731 | 274 |
| 8 | 3307 | 274 |
| 9 | 4193 | 274 |
| 10 | 4991 | 274 |
| 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 (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.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 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (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 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 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) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (*.f64 N N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) (*.f64 (*.f64 N N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.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 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)) N)) |
#s(approx (log (+ 1 (pow N -1))) (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) (+ (* (- N 1/2) N) 1/3)) (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 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 (neg.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) -1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 N (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ 1/3 N) 1/2) N) (neg N)) #s(literal 1/2 binary64)) N) (*.f64 (neg.f64 N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 572 |
| 1 | 422 | 549 |
| 2 | 1301 | 498 |
| 3 | 5090 | 494 |
| 0 | 8329 | 476 |
| 0 | 64 | 378 |
| 0 | 99 | 347 |
| 1 | 399 | 319 |
| 2 | 2948 | 311 |
| 0 | 9393 | 298 |
| 0 | 30 | 119 |
| 0 | 50 | 106 |
| 1 | 216 | 102 |
| 2 | 1496 | 102 |
| 0 | 8331 | 100 |
| 0 | 6 | 16 |
| 0 | 10 | 15 |
| 1 | 41 | 15 |
| 2 | 254 | 15 |
| 3 | 2342 | 15 |
| 0 | 8419 | 11 |
| 0 | 181 | 608 |
| 1 | 535 | 588 |
| 2 | 1676 | 565 |
| 3 | 6963 | 565 |
| 0 | 8327 | 546 |
| 0 | 88 | 259 |
| 1 | 254 | 233 |
| 2 | 628 | 233 |
| 3 | 1724 | 230 |
| 4 | 5376 | 227 |
| 0 | 8294 | 221 |
| 0 | 43 | 219 |
| 0 | 67 | 211 |
| 1 | 257 | 201 |
| 2 | 1751 | 199 |
| 0 | 8123 | 199 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 282 to 90 computations (68.1% saved)
Compiled 632 to 230 computations (63.6% saved)
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