
Time bar (total: 7.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 2 |
| 25% | 12.5% | 37.5% | 50% | 0% | 0% | 0% | 3 |
| 62.5% | 31.2% | 18.7% | 50% | 0% | 0% | 0% | 4 |
| 81.3% | 40.6% | 9.4% | 50% | 0% | 0% | 0% | 5 |
| 90.6% | 45.3% | 4.7% | 50% | 0% | 0% | 0% | 6 |
| 95.3% | 47.6% | 2.3% | 50% | 0% | 0% | 0% | 7 |
| 97.7% | 48.8% | 1.2% | 50% | 0% | 0% | 0% | 8 |
| 98.8% | 49.4% | 0.6% | 50% | 0% | 0% | 0% | 9 |
| 99.4% | 49.7% | 0.3% | 50% | 0% | 0% | 0% | 10 |
| 99.7% | 49.8% | 0.1% | 50% | 0% | 0% | 0% | 11 |
| 99.9% | 49.9% | 0.1% | 50% | 0% | 0% | 0% | 12 |
Compiled 14 to 9 computations (35.7% saved)
| 1.2s | 2 979× | 2 | valid |
| 972.0ms | 4 944× | 1 | valid |
| 22.0ms | 333× | 0 | valid |
ival-log: 1.2s (59% of total)ival-div: 262.0ms (13.2% of total)adjust: 183.0ms (9.2% of total)ival-sub: 179.0ms (9% of total)ival-log1p: 68.0ms (3.4% of total)ival-fabs: 63.0ms (3.2% of total)ival-<=: 46.0ms (2.3% of total)exact: 6.0ms (0.3% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 0 | - | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 255 | 0 | - | 0 | - | (log.f64 (-.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) x)) | sensitivity | 255 | 0 |
log.f64 | (log.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 255 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 249 | 0 |
| - | 6 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 249 | 0 | 0 |
| - | 6 | 0 | 1 |
| number | freq |
|---|---|
| 0 | 1 |
| 2 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 75.0ms | 200× | 2 | valid |
| 55.0ms | 296× | 1 | valid |
| 1.0ms | 16× | 0 | valid |
Compiled 88 to 32 computations (63.6% saved)
ival-log: 71.0ms (65.3% of total)adjust: 14.0ms (12.9% of total)ival-div: 9.0ms (8.3% of total)ival-sub: 7.0ms (6.4% of total)ival-log1p: 4.0ms (3.7% of total)ival-add: 3.0ms (2.8% 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 | 9 | 21 |
| 1 | 24 | 19 |
| 2 | 43 | 19 |
| 3 | 79 | 19 |
| 4 | 116 | 19 |
| 5 | 153 | 19 |
| 6 | 178 | 19 |
| 7 | 189 | 19 |
| 8 | 192 | 19 |
| 9 | 193 | 19 |
| 0 | 7 | 9 |
| 0 | 12 | 9 |
| 1 | 17 | 9 |
| 2 | 21 | 9 |
| 3 | 26 | 9 |
| 4 | 33 | 9 |
| 5 | 41 | 9 |
| 6 | 51 | 9 |
| 7 | 65 | 9 |
| 8 | 69 | 9 |
| 0 | 69 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 3.5% | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 64 | (log.f64 (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 192 | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 25 |
| 0 | 12 | 25 |
| 1 | 17 | 25 |
| 2 | 21 | 25 |
| 3 | 26 | 25 |
| 4 | 33 | 25 |
| 5 | 41 | 25 |
| 6 | 51 | 25 |
| 7 | 65 | 25 |
| 8 | 69 | 25 |
| 0 | 69 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(log1p.f64 (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(log1p.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.02734375 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 58.98901191896349 | (log.f64 (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 59.0083685777539 | (log.f64 (-.f64 #s(literal 1 binary64) x)) |
| 35.0ms | 100× | 2 | valid |
| 25.0ms | 148× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 52 to 16 computations (69.2% saved)
ival-log: 29.0ms (60% of total)adjust: 8.0ms (16.5% of total)ival-div: 4.0ms (8.3% of total)ival-sub: 4.0ms (8.3% of total)ival-log1p: 2.0ms (4.1% of total)ival-add: 1.0ms (2.1% 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 #s(literal 1 binary64) x)) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 x) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) |
(* x (- (/ 1 x) 1)) |
(* x (+ 1 (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(* -1 (log (/ -1 x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((log (+ 1 x)) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (+ 1 x)) |
| 2.0ms | x | @ | -inf | ((log (+ 1 x)) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (+ 1 x)) |
| 1.0ms | x | @ | 0 | ((log (+ 1 x)) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (+ 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 217 | 1070 |
| 1 | 658 | 954 |
| 2 | 2012 | 881 |
| 0 | 8379 | 854 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 x) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) |
(* x (- (/ 1 x) 1)) |
(* x (+ 1 (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(* -1 (log (/ -1 x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) (log.f64 x)) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) x) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) x) x) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) x) (fma.f64 (/.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 x x)) (log.f64 x)) (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 x x)) (log.f64 x))))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) |
(-.f64 (-.f64 (+.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) x) x) (/.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x))) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (log.f64 x)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (log.f64 x)) (fma.f64 (/.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (log.f64 x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (*.f64 (log.f64 x) (log.f64 x))))))) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 12 | 23 |
| 1 | 41 | 23 |
| 2 | 245 | 23 |
| 3 | 2170 | 23 |
| 0 | 10506 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) |
(*.f64 (log1p.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (log1p.f64 x)) |
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (log1p.f64 x) #s(literal 1 binary64)) |
(log1p.f64 (neg.f64 (neg.f64 x))) |
(log1p.f64 (neg.f64 x)) |
(log1p.f64 x) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 x x x)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (log1p.f64 x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))))) |
(/.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)) |
(/.f64 (log1p.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 x) #s(literal -1 binary64))) |
(neg.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)))) |
(neg.f64 (neg.f64 (log1p.f64 x))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 x x x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) |
(fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))) |
(fma.f64 (log1p.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (log1p.f64 x) #s(literal 0 binary64)) |
(-.f64 (log.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (log1p.f64 (fma.f64 x x x))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (log1p.f64 (*.f64 x x))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
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(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) |
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x))) |
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 #s(literal 1 binary64) x) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64))) |
Compiled 13 984 to 2 124 computations (84.8% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 479 | 7 | 486 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 480 | 7 | 487 |
| Status | Accuracy | Program |
|---|---|---|
| 3.4% | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))) | |
| 5.5% | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) | |
| ▶ | 4.0% | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| ▶ | 99.7% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| ▶ | 99.6% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| ▶ | 99.3% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
| ▶ | 98.3% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Compiled 214 to 162 computations (24.3% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 192 | (log.f64 (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 191 |
| 0 | 51 | 191 |
| 1 | 74 | 191 |
| 2 | 117 | 191 |
| 3 | 285 | 191 |
| 4 | 640 | 191 |
| 5 | 1459 | 191 |
| 6 | 2685 | 191 |
| 7 | 4749 | 191 |
| 8 | 5615 | 191 |
| 9 | 5829 | 191 |
| 10 | 5852 | 191 |
| 11 | 5852 | 191 |
| 12 | 6056 | 191 |
| 13 | 6056 | 191 |
| 14 | 6132 | 191 |
| 15 | 6160 | 191 |
| 16 | 6160 | 191 |
| 17 | 6160 | 191 |
| 18 | 6170 | 191 |
| 0 | 6170 | 173 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
#s(literal -5/12 binary64) |
x |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal -1 binary64) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
#s(literal -5/12 binary64) |
x |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal -1 binary64) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x)) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(log1p.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) | |
| accuracy | 0.02734375 | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.1843815239495396 | #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| accuracy | 58.98901191896349 | (log.f64 (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) | |
| accuracy | 0.23481031081384202 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) | |
| accuracy | 0.0 | (-.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.4585976647512189 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) | |
| accuracy | 1.0680337549686425 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) | |
| accuracy | 0.0 | (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) | |
| accuracy | 0.18514288753643615 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| 93.0ms | 100× | 2 | valid |
| 79.0ms | 148× | 1 | valid |
| 2.0ms | 8× | 0 | valid |
Compiled 351 to 63 computations (82.1% saved)
ival-log: 43.0ms (31.3% of total)adjust: 34.0ms (24.8% of total)ival-mult: 25.0ms (18.2% of total)ival-add: 13.0ms (9.5% of total)const: 10.0ms (7.3% of total)ival-sub: 5.0ms (3.6% of total)ival-div: 4.0ms (2.9% of total)ival-log1p: 2.0ms (1.5% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
| Outputs |
|---|
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(- (* -1/2 x) 1) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
-1/2 |
(- (* -5/12 x) 1/2) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) |
(* -5/12 (pow x 3)) |
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* -5/12 (pow x 2)) |
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* -5/12 x) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1/2 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x)))) |
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (/ 1 x)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(* -1/4 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(* -1 (log (/ -1 x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x)) |
| 2.0ms | x | @ | inf | ((/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x)) |
| 1.0ms | x | @ | 0 | ((/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 271 | 1300 |
| 1 | 846 | 1175 |
| 2 | 2807 | 1100 |
| 0 | 8173 | 1063 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(- (* -1/2 x) 1) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
-1/2 |
(- (* -5/12 x) 1/2) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) |
(* -5/12 (pow x 3)) |
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* -5/12 (pow x 2)) |
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* -5/12 x) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1/2 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x)))) |
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (/ 1 x)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(* -1/4 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(* -1 (log (/ -1 x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* -1/2 x) 1) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -5/12 x) 1/2) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
(/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) x) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(-.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x))) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x))) (+.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 (*.f64 (log.f64 x) x) x))) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (*.f64 (log.f64 x) (log.f64 x))))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) |
(-.f64 (-.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x))) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (log.f64 x)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (log.f64 x)) (fma.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (*.f64 (log.f64 x) (log.f64 x))))))) |
(* -5/12 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -5/12 binary64)) |
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -5/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/12 binary64)) |
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) |
(* -5/12 x) |
(*.f64 #s(literal -5/12 binary64) x) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1 (* x (+ 1/2 (/ 1 x)))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(-.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) x)) |
(* -1/4 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (-.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x)) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x #s(literal 1/2 binary64))) |
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 151 |
| 0 | 51 | 151 |
| 1 | 200 | 151 |
| 2 | 1449 | 151 |
| 0 | 8166 | 133 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
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(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) (neg.f64 x))) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) (neg.f64 x))) (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x))) |
(fma.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x) (neg.f64 x)) |
(+.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x)) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x)) |
(+.f64 (neg.f64 x) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x))) |
Compiled 10 633 to 1 470 computations (86.2% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 305 | 2 | 307 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 306 | 8 | 314 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 3.4% | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))) |
| ▶ | 5.5% | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) |
| ▶ | 99.7% | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| ✓ | 99.7% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| ✓ | 99.6% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| ▶ | 48.8% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))) |
| ✓ | 99.3% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
| ✓ | 98.3% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Compiled 156 to 114 computations (26.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 64 | (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 64 | (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) | |
| cost-diff | 64 | (log.f64 (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 128 | (neg.f64 (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (log1p.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) | |
| cost-diff | 64 | (log.f64 (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))) | |
| cost-diff | 832 | (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) | |
| cost-diff | 832 | (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 358 |
| 0 | 86 | 356 |
| 1 | 130 | 354 |
| 2 | 232 | 354 |
| 3 | 575 | 354 |
| 4 | 1474 | 336 |
| 5 | 3636 | 336 |
| 6 | 5608 | 336 |
| 0 | 8065 | 308 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)) |
#s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) |
(*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) |
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) |
(-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) |
#s(literal -5/12 binary64) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(log1p.f64 x) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) |
(log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(neg.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(neg.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x #s(literal -1 binary64)) |
#s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) |
#s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) |
(fma.f64 #s(literal -5/12 binary64) x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) |
(-.f64 #s(literal -5/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) |
#s(literal -5/12 binary64) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(log1p.f64 (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(log1p.f64 x) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(log1p.f64 (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x))) |
(log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(log1p.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal 1 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.02734375 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))) | |
| accuracy | 29.008376655863973 | (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) | |
| accuracy | 59.0083685777539 | (log.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 59.0083685777539 | (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (log1p.f64 x) | |
| accuracy | 0.02734375 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) | |
| accuracy | 59.0083685777539 | (log.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) | |
| accuracy | 0.02734375 | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| accuracy | 0.1843815239495396 | #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| accuracy | 0.18654335851481801 | #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) | |
| accuracy | 0.125 | (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) | |
| accuracy | 0.16796875 | (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) | |
| accuracy | 0.18514288753643615 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))) | |
| accuracy | 31.101471340386492 | (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) |
| 172.0ms | 151× | 1 | valid |
| 147.0ms | 100× | 2 | valid |
| 2.0ms | 5× | 0 | valid |
Compiled 651 to 103 computations (84.2% saved)
ival-log: 108.0ms (39.9% of total)const: 35.0ms (12.9% of total)adjust: 34.0ms (12.6% of total)ival-mult: 31.0ms (11.5% of total)ival-add: 23.0ms (8.5% of total)ival-sub: 16.0ms (5.9% of total)ival-div: 14.0ms (5.2% of total)ival-neg: 5.0ms (1.8% of total)ival-log1p: 5.0ms (1.8% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) |
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(log1p.f64 x) |
(neg.f64 (-.f64 x #s(literal 1 binary64))) |
(log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))) |
| Outputs |
|---|
-1 |
(- (* -1/2 x) 1) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
(/ -1 x) |
(/ (- (* -1/2 x) 1) x) |
(/ (- (* x (- (* -5/12 x) 1/2)) 1) x) |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(- (* x (- (* -1/3 x) 1/2)) 1) |
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1) |
1 |
(+ 1 (* -1 x)) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1/2 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(* -5/12 (pow x 2)) |
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* -5/12 x) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) |
(* -5/12 (pow x 3)) |
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(* -1/4 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1/4 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* x (- (/ 1 x) 1)) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+ (log -1) (* -2 (log (/ 1 x)))) |
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2))) |
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2))) |
(/ 1/2 x) |
(/ (+ 1/2 (/ 1 x)) x) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2))))) |
(/ (+ (log -1) (* -1 (log (/ 1 x)))) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) |
(+ (* -1 (/ (log (/ 1 x)) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))) (+ (* -1 (/ (+ (* -1 (/ (log (/ 1 x)) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2))) (+ (/ 1 (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) (/ (log -1) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)))) x)) (/ (log -1) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))))) |
(- (+ (* -1 (/ (log (/ 1 x)) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (log (/ 1 x)) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2))) (+ (/ 1 (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) (/ (log -1) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)))) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2))) (* 1/2 (/ 1 (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))))) (pow x 2))) (/ (log -1) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))))) (+ (* -1 (/ (log (/ 1 x)) (* x (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)))) (+ (/ 1 (* x (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))) (/ (log -1) (* x (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)))))) |
(- (+ (* -1 (/ (log (/ 1 x)) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (log (/ 1 x)) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2))) (+ (/ 1 (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) (/ (log -1) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)))) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2))) (* 1/2 (/ 1 (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))))) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))) (+ (* 1/3 (/ 1 (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2))) (* 1/2 (/ (+ (* -1 (/ (log (/ 1 x)) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2))) (+ (/ 1 (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) (/ (log -1) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)))) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))))))) (pow x 3))) (/ (log -1) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))))) (+ (* -1 (/ (log (/ 1 x)) (* x (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)))) (+ (* -1 (/ (+ (* -1 (/ (log (/ 1 x)) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2))) (+ (/ 1 (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) (/ (log -1) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)))) (* (pow x 2) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)))) (+ (/ 1 (* x (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))))) (/ (log -1) (* x (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2))))))))) |
(* -1 (* x (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x))))) |
(* -1 (log (/ -1 x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4)) |
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(+ (log -1) (* -2 (log (/ -1 x)))) |
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2))) |
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2))) |
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4)) |
(* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) x))) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | ((* (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) x) (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (neg (- x 1)) (log (neg (+ (* x x) -1))) (log (neg (- x 1))) (/ (+ (/ 1 x) 1/2) x) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (/ (log (- 1 x)) (- (log (neg (+ (* x x) -1))) (log (neg (- x 1)))))) |
| 5.0ms | x | @ | inf | ((* (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) x) (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (neg (- x 1)) (log (neg (+ (* x x) -1))) (log (neg (- x 1))) (/ (+ (/ 1 x) 1/2) x) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (/ (log (- 1 x)) (- (log (neg (+ (* x x) -1))) (log (neg (- x 1)))))) |
| 2.0ms | x | @ | 0 | ((* (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) x) (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (neg (- x 1)) (log (neg (+ (* x x) -1))) (log (neg (- x 1))) (/ (+ (/ 1 x) 1/2) x) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (/ (log (- 1 x)) (- (log (neg (+ (* x x) -1))) (log (neg (- x 1)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 472 | 2584 |
| 1 | 1455 | 2229 |
| 2 | 5265 | 2156 |
| 0 | 8842 | 2096 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* -1/2 x) 1) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
(/ -1 x) |
(/ (- (* -1/2 x) 1) x) |
(/ (- (* x (- (* -5/12 x) 1/2)) 1) x) |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(- (* x (- (* -1/3 x) 1/2)) 1) |
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1) |
1 |
(+ 1 (* -1 x)) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1/2 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(* -5/12 (pow x 2)) |
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* -5/12 x) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) |
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(* -1/4 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
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(* x (- (/ 1 x) 1)) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
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(+ (log -1) (* -2 (log (/ 1 x)))) |
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(/ 1/2 x) |
(/ (+ 1/2 (/ 1 x)) x) |
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(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
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(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
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(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
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(+ (* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (* x (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) x))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -1/2 x) 1) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1/2 x) 1) x) |
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (- (* -5/12 x) 1/2)) 1) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(- (* x (- (* -1/3 x) 1/2)) 1) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* -1/2 (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) |
(* -5/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/12 binary64)) |
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal 5/12 binary64) x #s(literal 1/2 binary64)) x)) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) |
(* -5/12 x) |
(*.f64 #s(literal -5/12 binary64) x) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(neg.f64 (fma.f64 #s(literal 5/12 binary64) x #s(literal 1/2 binary64))) |
(* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
(-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) |
(+.f64 (/.f64 (-.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (log.f64 x))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x) (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(+.f64 (-.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64) (-.f64 (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (log.f64 x) x) x)) (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (*.f64 x x))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) |
(-.f64 (-.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64) (-.f64 (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x)))) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 x))) (+.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (log.f64 x) x) x)) (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64)) (fma.f64 (/.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (*.f64 x x))) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (log.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))) (*.f64 (log.f64 x) (pow.f64 x #s(literal 3 binary64)))))) |
(* -5/12 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -5/12 binary64)) |
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) |
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(-.f64 (+.f64 (-.f64 (log.f64 x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(* -1/4 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -1/4 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/4 binary64)) |
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(-.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)) |
(+ (log -1) (* -2 (log (/ 1 x)))) |
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (log.f64 #s(literal -1 binary64))) |
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2))) |
(-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) x) (*.f64 (log.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal -1 binary64))) |
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2))) |
(-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2))))) |
(*.f64 (+.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (log -1) (* -1 (log (/ 1 x)))) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) |
(-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64)) |
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(+ (* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (* x (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(+ (* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))))) x)) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 238 |
| 0 | 86 | 226 |
| 1 | 337 | 226 |
| 2 | 2493 | 226 |
| 0 | 9903 | 214 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) |
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(log1p.f64 x) |
(neg.f64 (-.f64 x #s(literal 1 binary64))) |
(log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x))) |
(*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x) |
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) (*.f64 x x)) |
(*.f64 x (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))) (*.f64 x x))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -125/1728 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64))) (*.f64 x x))) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)) #s(literal 25/144 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -125/1728 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)) #s(literal 25/144 binary64))) |
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) |
(*.f64 x (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x))) |
(/.f64 (fma.f64 #s(literal -125/1728 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x) x) (*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x) x)) (*.f64 (*.f64 x #s(literal -5/12 binary64)) (*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x) x))))) |
(/.f64 (fma.f64 #s(literal -125/1728 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 x (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x)) (*.f64 x (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x))) (*.f64 (*.f64 x #s(literal -5/12 binary64)) (*.f64 x (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))) x)) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -125/1728 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)) #s(literal 25/144 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -125/1728 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)) #s(literal 25/144 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -125/1728 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64))) x) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)) #s(literal 25/144 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal -125/1728 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)) #s(literal 25/144 binary64))) |
(fma.f64 x #s(literal -5/12 binary64) (*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x) x)) |
(fma.f64 x #s(literal -5/12 binary64) (*.f64 x (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x))) |
(fma.f64 #s(literal -5/12 binary64) x (*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x) x)) |
(fma.f64 #s(literal -5/12 binary64) x (*.f64 x (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x))) |
(+.f64 (*.f64 x #s(literal -5/12 binary64)) (*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x) x)) |
(+.f64 (*.f64 x #s(literal -5/12 binary64)) (*.f64 x (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))) |
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x)))) |
(-.f64 (/.f64 (log1p.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (log1p.f64 x)) (/.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 x))) |
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) #s(literal -1 binary64))) |
Compiled 22 567 to 2 652 computations (88.2% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 624 | 4 | 628 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 4 | 4 |
| Total | 627 | 9 | 636 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 5.6% | (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (log1p.f64 x)) |
| ▶ | 100.0% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ▶ | 99.7% | (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| ✓ | 99.7% | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| ✓ | 99.7% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| ✓ | 99.6% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| ▶ | 48.8% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64))) |
| ✓ | 99.3% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
| ✓ | 98.3% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Compiled 200 to 140 computations (30% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (log1p.f64 x)) | |
| cost-diff | 512 | (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (log1p.f64 x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (log1p.f64 (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| cost-diff | 128 | (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64))) | |
| cost-diff | 128 | (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) | |
| cost-diff | 320 | (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 421 |
| 0 | 91 | 418 |
| 1 | 146 | 418 |
| 2 | 269 | 405 |
| 3 | 635 | 405 |
| 4 | 1665 | 395 |
| 5 | 4215 | 395 |
| 6 | 6223 | 379 |
| 0 | 8147 | 358 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64)) |
#s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) |
(*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x) |
#s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) |
(neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) |
(fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) |
x |
(+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
#s(literal 5/12 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
(neg.f64 x) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(log1p.f64 x) |
(/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (log1p.f64 x)) |
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
(log1p.f64 x) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (fma.f64 #s(literal -5/12 binary64) x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (fma.f64 #s(literal -5/12 binary64) x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64)) |
#s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) |
#s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (fma.f64 #s(literal -5/12 binary64) x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) x)) |
(*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x) |
(*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (fma.f64 #s(literal -5/12 binary64) x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) x) |
#s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) |
#s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (fma.f64 #s(literal -5/12 binary64) x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) |
(neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -5/12 binary64) x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 5/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
x |
(+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -5/12 binary64)) |
#s(literal 5/12 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
(neg.f64 x) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(log1p.f64 x) |
(/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (log1p.f64 x)) |
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (log1p.f64 x))) |
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
(log1p.f64 x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (log1p.f64 x) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) | |
| accuracy | 0.02734375 | (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (log1p.f64 x)) | |
| accuracy | 59.00650056616325 | (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0 | (log1p.f64 (neg.f64 x)) | |
| accuracy | 0.0 | (log1p.f64 x) | |
| accuracy | 0.02734375 | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) | |
| accuracy | 0.02734375 | (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| accuracy | 0.1843815239495396 | #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) | |
| accuracy | 0.18654335851481801 | #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) | |
| accuracy | 0.14453125 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 0.16796875 | (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x) | |
| accuracy | 0.18514288753643615 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64))) | |
| accuracy | 31.101471340386492 | (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) |
| 221.0ms | 100× | 2 | valid |
| 127.0ms | 148× | 1 | valid |
| 3.0ms | 8× | 0 | valid |
Compiled 724 to 116 computations (84% saved)
ival-log: 68.0ms (22.1% of total)ival-mult: 63.0ms (20.4% of total)ival-div: 58.0ms (18.8% of total)ival-add: 46.0ms (14.9% of total)adjust: 37.0ms (12% of total)const: 19.0ms (6.2% of total)ival-sub: 6.0ms (1.9% of total)ival-neg: 6.0ms (1.9% of total)ival-log1p: 3.0ms (1% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) |
(neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
(log1p.f64 x) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (log1p.f64 x)) |
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 5/12 x)))) x) |
(/ -1 x) |
(/ (- (* -1/2 x) 1) x) |
(/ (- (* x (- (* -5/12 x) 1/2)) 1) x) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(* -1/2 x) |
(* x (- (* -1/3 x) 1/2)) |
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 x))) |
(+ 1 (* x (+ 1 (* x (+ 1 x))))) |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/3 (* 1/4 x))))))) |
(- (* -1/2 x) 1) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
(/ 1 (pow x 2)) |
(* 5/12 x) |
(* x (+ 5/12 (* 1/2 (/ 1 x)))) |
(* x (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* -5/12 x) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) |
(* -5/12 (pow x 3)) |
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* -1/4 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(* -1/4 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x) |
(/ (+ (log -1) (log (/ 1 x))) (log (/ 1 x))) |
(+ 1 (+ (/ 2 (* x (log (/ 1 x)))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(+ 1 (+ (* -1/2 (/ (+ (log -1) (log (/ 1 x))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (+ (* 2 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (/ 2 (* x (log (/ 1 x)))) (+ (/ (log -1) (log (/ 1 x))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3)))))))))) |
(+ 1 (+ (* -1/2 (/ (+ (log -1) (log (/ 1 x))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* -1/2 (/ (+ (log -1) (log (/ 1 x))) (* (pow x 3) (pow (log (/ 1 x)) 3)))) (+ (* -1/2 (/ (+ (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/3 (/ (+ (log -1) (log (/ 1 x))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (/ 1/2 (* (pow x 3) (pow (log (/ 1 x)) 2))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (+ (* 2 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (/ 2 (* x (log (/ 1 x)))) (+ (/ 2 (* (pow x 3) (pow (log (/ 1 x)) 3))) (+ (/ (log -1) (log (/ 1 x))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) (+ (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3))) (/ (log -1) (* (pow x 3) (pow (log (/ 1 x)) 4))))))))))))))))) |
(* -1 (+ (log -1) (log (/ 1 x)))) |
(* -1 (+ (log -1) (+ (log (/ 1 x)) (/ 1 x)))) |
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) (+ (log -1) (log (/ 1 x)))) |
(- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))) (+ (log -1) (+ (log (/ 1 x)) (/ 1 x)))) |
(+ (log -1) (log (/ 1 x))) |
(+ (log -1) (+ (log (/ 1 x)) (/ 1 x))) |
(+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) |
(+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) |
(* -5/12 (pow x 2)) |
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))) |
(* -1 (* x (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4)) |
(* -1 (log (/ -1 x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x)) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) x))) |
(* -1 (+ (log (/ -1 x)) (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) (log (/ -1 x))) |
(- (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)) (log (/ -1 x))) |
(log (/ -1 x)) |
(+ (log (/ -1 x)) (/ 1 x)) |
(+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) |
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((+ (* x (+ 5/12 (/ 1 (* x x)))) 1/2) (neg (+ (* x (+ 5/12 (/ 1 (* x x)))) 1/2)) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) x) (neg x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (/ (+ x 1) (+ (* (neg x) x) 1)) (/ (neg (log (/ (+ x 1) (+ (* (neg x) x) 1)))) (log (+ 1 x))) (neg (log (/ (+ x 1) (+ (* (neg x) x) 1)))) (log (/ (+ x 1) (+ (* (neg x) x) 1))) (* (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) x) (/ 1 (* x x)) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x)) |
| 4.0ms | x | @ | inf | ((+ (* x (+ 5/12 (/ 1 (* x x)))) 1/2) (neg (+ (* x (+ 5/12 (/ 1 (* x x)))) 1/2)) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) x) (neg x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (/ (+ x 1) (+ (* (neg x) x) 1)) (/ (neg (log (/ (+ x 1) (+ (* (neg x) x) 1)))) (log (+ 1 x))) (neg (log (/ (+ x 1) (+ (* (neg x) x) 1)))) (log (/ (+ x 1) (+ (* (neg x) x) 1))) (* (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) x) (/ 1 (* x x)) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x)) |
| 2.0ms | x | @ | 0 | ((+ (* x (+ 5/12 (/ 1 (* x x)))) 1/2) (neg (+ (* x (+ 5/12 (/ 1 (* x x)))) 1/2)) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) x) (neg x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (/ (+ x 1) (+ (* (neg x) x) 1)) (/ (neg (log (/ (+ x 1) (+ (* (neg x) x) 1)))) (log (+ 1 x))) (neg (log (/ (+ x 1) (+ (* (neg x) x) 1)))) (log (/ (+ x 1) (+ (* (neg x) x) 1))) (* (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) x) (/ 1 (* x x)) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 446 | 2540 |
| 1 | 1414 | 2342 |
| 2 | 4651 | 2281 |
| 0 | 8451 | 2220 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 5/12 x)))) x) |
(/ -1 x) |
(/ (- (* -1/2 x) 1) x) |
(/ (- (* x (- (* -5/12 x) 1/2)) 1) x) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(* -1/2 x) |
(* x (- (* -1/3 x) 1/2)) |
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 x))) |
(+ 1 (* x (+ 1 (* x (+ 1 x))))) |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/3 (* 1/4 x))))))) |
(- (* -1/2 x) 1) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
(/ 1 (pow x 2)) |
(* 5/12 x) |
(* x (+ 5/12 (* 1/2 (/ 1 x)))) |
(* x (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* -5/12 x) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) |
(* -5/12 (pow x 3)) |
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* -1/4 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(* -1/4 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x) |
(/ (+ (log -1) (log (/ 1 x))) (log (/ 1 x))) |
(+ 1 (+ (/ 2 (* x (log (/ 1 x)))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(+ 1 (+ (* -1/2 (/ (+ (log -1) (log (/ 1 x))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (+ (* 2 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (/ 2 (* x (log (/ 1 x)))) (+ (/ (log -1) (log (/ 1 x))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3)))))))))) |
(+ 1 (+ (* -1/2 (/ (+ (log -1) (log (/ 1 x))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* -1/2 (/ (+ (log -1) (log (/ 1 x))) (* (pow x 3) (pow (log (/ 1 x)) 3)))) (+ (* -1/2 (/ (+ (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/3 (/ (+ (log -1) (log (/ 1 x))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (/ 1/2 (* (pow x 3) (pow (log (/ 1 x)) 2))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (+ (* 2 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (/ 2 (* x (log (/ 1 x)))) (+ (/ 2 (* (pow x 3) (pow (log (/ 1 x)) 3))) (+ (/ (log -1) (log (/ 1 x))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) (+ (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3))) (/ (log -1) (* (pow x 3) (pow (log (/ 1 x)) 4))))))))))))))))) |
(* -1 (+ (log -1) (log (/ 1 x)))) |
(* -1 (+ (log -1) (+ (log (/ 1 x)) (/ 1 x)))) |
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) (+ (log -1) (log (/ 1 x)))) |
(- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))) (+ (log -1) (+ (log (/ 1 x)) (/ 1 x)))) |
(+ (log -1) (log (/ 1 x))) |
(+ (log -1) (+ (log (/ 1 x)) (/ 1 x))) |
(+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) |
(+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) |
(* -5/12 (pow x 2)) |
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))) |
(* -1 (* x (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4)) |
(* -1 (log (/ -1 x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x)) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) x))) |
(* -1 (+ (log (/ -1 x)) (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) (log (/ -1 x))) |
(- (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)) (log (/ -1 x))) |
(log (/ -1 x)) |
(+ (log (/ -1 x)) (/ 1 x)) |
(+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) |
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4)) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 5/12 x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 5/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1/2 x) 1) x) |
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (- (* -5/12 x) 1/2)) 1) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* -1/3 x) 1/2)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) |
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1 x))))) |
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/3 (* 1/4 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(- (* -1/2 x) 1) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(* 5/12 x) |
(*.f64 #s(literal 5/12 binary64) x) |
(* x (+ 5/12 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 5/12 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x #s(literal 1/2 binary64)) |
(* -5/12 x) |
(*.f64 #s(literal -5/12 binary64) x) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(neg.f64 (fma.f64 #s(literal 5/12 binary64) x #s(literal 1/2 binary64))) |
(* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
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(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))))) x)) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(neg.f64 (*.f64 (fma.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x #s(literal 1/2 binary64)) (*.f64 x x))) |
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x)) (neg.f64 x)) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x)) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x))) |
(-.f64 (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x))) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (+ (* -1 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))))) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(* -1 (+ (log (/ -1 x)) (/ 1 x))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) (log (/ -1 x))) |
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)) (log (/ -1 x))) |
(-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(log (/ -1 x)) |
(log.f64 (/.f64 #s(literal -1 binary64) x)) |
(+ (log (/ -1 x)) (/ 1 x)) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) |
(+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)) (pow.f64 x #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 293 |
| 0 | 91 | 274 |
| 1 | 396 | 253 |
| 2 | 3002 | 244 |
| 0 | 8889 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) |
(neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
(log1p.f64 x) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (log1p.f64 x)) |
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64)) (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 5/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 5/12 binary64) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64)))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 5/12 binary64) x)) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 5/12 binary64) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(+.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64)))) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64)))) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64)))) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (neg.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64)))) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))))) |
(neg.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) x #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64))) x #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64)) (neg.f64 x) #s(literal -1/2 binary64)) |
(fma.f64 x (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/12 binary64))) #s(literal -1/2 binary64)) |
(-.f64 (neg.f64 (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) |
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(-.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (log1p.f64 x)) |
(-.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (log.f64 (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (log1p.f64 (fma.f64 x x x))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (log1p.f64 (*.f64 (neg.f64 x) x))) |
(-.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x)))) |
(-.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (log1p.f64 x)) |
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (log.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (neg.f64 (log1p.f64 (*.f64 (neg.f64 x) x))) (log1p.f64 x)) |
(+.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))) |
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (*.f64 (neg.f64 x) x)))) |
(log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (-.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) x) |
(*.f64 x #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (-.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 5/12 binary64) x (pow.f64 x #s(literal -1 binary64)))))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x))) |
(fma.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x) x) |
(+.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)) x) |
(+.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x)) |
(+.f64 x (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x))) |
Compiled 21 787 to 2 738 computations (87.4% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 541 | 2 | 543 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 5 | 5 |
| Total | 542 | 10 | 552 |
| Status | Accuracy | Program |
|---|---|---|
| 5.5% | (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 x)) | |
| ✓ | 100.0% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| 35.4% | (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| ✓ | 99.7% | (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| ✓ | 99.7% | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| ✓ | 99.7% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| ✓ | 99.6% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| ✓ | 48.8% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64))) |
| ✓ | 99.3% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
| ✓ | 98.3% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Compiled 593 to 281 computations (52.6% saved)
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 x)) |
(/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (log1p.f64 x)) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))) |
| Outputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 #s(approx (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (*.f64 (*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
2 calls:
| 65.0ms | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 10 to 8 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | x |
| 98.3% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 67 |
| 1 | 32 | 67 |
| 2 | 36 | 67 |
| 3 | 42 | 67 |
| 4 | 53 | 67 |
| 5 | 65 | 67 |
| 6 | 116 | 67 |
| 7 | 240 | 67 |
| 8 | 3598 | 67 |
| 9 | 6781 | 67 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 12 | 23 |
| 1 | 41 | 23 |
| 2 | 245 | 23 |
| 3 | 2170 | 23 |
| 0 | 10506 | 15 |
| 0 | 50 | 238 |
| 0 | 86 | 226 |
| 1 | 337 | 226 |
| 2 | 2493 | 226 |
| 0 | 9903 | 214 |
| 0 | 217 | 1070 |
| 1 | 658 | 954 |
| 2 | 2012 | 881 |
| 0 | 8379 | 854 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 117 to 59 computations (49.6% saved)
Compiled 164 to 72 computations (56.1% saved)
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