
Time bar (total: 6.6s)
| 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 | 3 028× | 2 | valid |
| 977.0ms | 4 892× | 1 | valid |
| 26.0ms | 336× | 0 | valid |
ival-log: 1.1s (58.4% of total)ival-div: 230.0ms (12.3% of total)adjust: 187.0ms (10% of total)ival-sub: 187.0ms (10% of total)ival-fabs: 86.0ms (4.6% of total)ival-log1p: 53.0ms (2.8% of total)ival-<=: 25.0ms (1.3% of total)exact: 7.0ms (0.4% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 0 | - | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 256 | 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 | 256 | 0 |
log.f64 | (log.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 256 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 245 | 0 |
| - | 11 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 245 | 0 | 0 |
| - | 11 | 0 | 0 |
| number | freq |
|---|---|
| 2 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 90.0ms | 316× | 1 | valid |
| 67.0ms | 168× | 2 | valid |
| 2.0ms | 28× | 0 | valid |
Compiled 63 to 25 computations (60.3% saved)
ival-log: 66.0ms (62.1% of total)adjust: 14.0ms (13.2% of total)ival-div: 9.0ms (8.5% of total)ival-add: 7.0ms (6.6% of total)ival-sub: 7.0ms (6.6% of total)ival-log1p: 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 | 23 |
| 1 | 16 | 23 |
| 0 | 7 | 9 |
| 0 | 12 | 9 |
| 1 | 15 | 9 |
| 0 | 15 | 7 |
| 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 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 5.5% | (/.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 | (log.f64 (-.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 | 2 | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 25 |
| 0 | 12 | 25 |
| 1 | 15 | 25 |
| 0 | 15 | 21 |
| 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 (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 |
(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 | 0.03515625 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 58.391753846960086 | (log.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 58.430674573281074 | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 66.0ms | 84× | 2 | valid |
| 31.0ms | 158× | 1 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 27 to 9 computations (66.7% saved)
ival-sub: 40.0ms (46% of total)ival-log: 31.0ms (35.7% of total)adjust: 7.0ms (8.1% of total)ival-div: 4.0ms (4.6% of total)ival-log1p: 2.0ms (2.3% of total)ival-add: 1.0ms (1.2% of total)ival-assert: 1.0ms (1.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(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))) |
(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 |
(- (* -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 |
(+ 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))) |
(* -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))))))))) |
(+ (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)) |
(* 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)) (+ (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 (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 (* 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 | 1077 |
| 1 | 681 | 941 |
| 2 | 2315 | 857 |
| 0 | 8506 | 847 |
| 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 |
(- (* -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 |
(+ 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))) |
(* -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))))))))) |
(+ (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)) |
(* 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)) (+ (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 (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 (* 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 (-.f64 (*.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 (-.f64 (*.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 (neg.f64 x) #s(literal 1 binary64)) |
(- (* x (- (* -1/2 x) 1)) 1) |
(-.f64 (*.f64 (-.f64 (*.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) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.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 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(-.f64 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 #s(literal 1/2 binary64) (*.f64 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)) |
(* -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 (/.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)) #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 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))))) (neg.f64 (log.f64 x))) (/.f64 (fma.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 #s(literal -1 binary64)) x)) (*.f64 (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)))) (*.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 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x) (neg.f64 (log.f64 x))) (/.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) x)) (/.f64 (+.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)) (/.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)) #s(literal -1 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)))) (pow.f64 x #s(literal 3 binary64)))) (log.f64 x)))) (fma.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.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 (fma.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)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 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 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 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 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #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 (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 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) x) (/.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 (fma.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)))) x) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #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)) (+ (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 1/3 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 (/.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 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (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 (+.f64 (fma.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)))) #s(literal -1 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 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 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.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 binary64) x) #s(literal 1/2 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 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 12 | 23 |
| 1 | 36 | 23 |
| 2 | 193 | 23 |
| 3 | 1709 | 23 |
| 0 | 10714 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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))) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(log1p.f64 (neg.f64 x)) |
(log1p.f64 x) |
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (*.f64 x x)) (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))) (fma.f64 (-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x x)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))) |
(/.f64 (neg.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)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))))) |
(/.f64 (neg.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)))) (neg.f64 (+.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 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))) |
(/.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 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (log1p.f64 (*.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)))))) |
(neg.f64 (neg.f64 (log1p.f64 x))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))) |
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(+.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 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 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 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 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #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 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) 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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #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 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #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 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 #s(literal 1 binary64) x) |
Compiled 11 897 to 1 691 computations (85.8% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 376 | 4 | 380 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 376 | 5 | 381 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 5.5% | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| ▶ | 100.0% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
| ▶ | 99.9% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
| ▶ | 99.5% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
| ▶ | 97.8% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Compiled 76 to 58 computations (23.7% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.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))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.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 | (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (-.f64 (*.f64 (-.f64 (*.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))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (-.f64 (neg.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 155 |
| 0 | 39 | 155 |
| 1 | 47 | 155 |
| 0 | 47 | 147 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) |
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) |
(-.f64 (*.f64 (-.f64 (*.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) x) #s(literal 1/2 binary64)) x) |
(-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -5/12 binary64) x) |
#s(literal -5/12 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#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 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) |
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) |
(-.f64 (*.f64 (-.f64 (*.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) x) #s(literal 1/2 binary64)) x) |
(-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -5/12 binary64) x) |
#s(literal -5/12 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) | |
| accuracy | 0.01953125 | (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) | |
| accuracy | 0.01953125 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) | |
| accuracy | 0.1875 | (*.f64 #s(literal -5/12 binary64) x) | |
| accuracy | 0.0 | (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) x) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) | |
| accuracy | 0.09491612069552782 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (-.f64 (neg.f64 x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.3394238878405422 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64))) | |
| accuracy | 1.3656122691370447 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
| 90.0ms | 130× | 1 | valid |
| 38.0ms | 71× | 2 | valid |
| 37.0ms | 41× | 5 | exit |
| 2.0ms | 14× | 0 | valid |
Compiled 126 to 24 computations (81% saved)
adjust: 34.0ms (32.8% of total)ival-log: 29.0ms (28% of total)ival-sub: 12.0ms (11.6% of total)ival-mult: 11.0ms (10.6% of total)const: 9.0ms (8.7% of total)ival-div: 4.0ms (3.9% of total)ival-log1p: 2.0ms (1.9% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% 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))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(neg.f64 x) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) |
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -5/12 binary64) x) |
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) |
| Outputs |
|---|
-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)) |
(- (* -1/2 x) 1) |
(* x (- (* x (- (* -5/12 x) 1/2)) 1)) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
(* -1/2 x) |
(* -5/12 x) |
(* x (- (* -5/12 x) 1/2)) |
(* -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))))))))) |
(* -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 (* x (+ 1/2 (/ 1 x)))) |
(* -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)) |
(* -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))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (- (neg x) 1) (neg x) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* -1/2 x) 1) x) 1) (* (- (* -1/2 x) 1) x) (- (* -1/2 x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (- (* (- (* -5/12 x) 1/2) x) 1) (* -1/2 x) (* -5/12 x) (* (- (* -5/12 x) 1/2) x)) |
| 3.0ms | x | @ | inf | ((/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (- (neg x) 1) (neg x) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* -1/2 x) 1) x) 1) (* (- (* -1/2 x) 1) x) (- (* -1/2 x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (- (* (- (* -5/12 x) 1/2) x) 1) (* -1/2 x) (* -5/12 x) (* (- (* -5/12 x) 1/2) x)) |
| 2.0ms | x | @ | 0 | ((/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (- (neg x) 1) (neg x) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* -1/2 x) 1) x) 1) (* (- (* -1/2 x) 1) x) (- (* -1/2 x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (- (* (- (* -5/12 x) 1/2) x) 1) (* -1/2 x) (* -5/12 x) (* (- (* -5/12 x) 1/2) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 969 |
| 1 | 582 | 855 |
| 2 | 2284 | 768 |
| 0 | 8571 | 756 |
| 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 x) |
(* x (- (* -1/2 x) 1)) |
(- (* -1/2 x) 1) |
(* x (- (* x (- (* -5/12 x) 1/2)) 1)) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
(* -1/2 x) |
(* -5/12 x) |
(* x (- (* -5/12 x) 1/2)) |
(* -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))))))))) |
(* -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 (* x (+ 1/2 (/ 1 x)))) |
(* -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)) |
(* -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))))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(-.f64 (*.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) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.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) |
(- (* -1/2 x) 1) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
(* x (- (* x (- (* -5/12 x) 1/2)) 1)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -5/12 x) |
(*.f64 #s(literal -5/12 binary64) x) |
(* x (- (* -5/12 x) 1/2)) |
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) 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 (/.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)) #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 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) x)) (*.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)))) |
(- (+ (* -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 (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) x)) (neg.f64 (log.f64 x))) (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (*.f64 x x))) (/.f64 (+.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)) (/.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)) #s(literal -1 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)))) (pow.f64 x #s(literal 3 binary64)))) (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 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (fma.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)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) x) |
(* -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 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* -1 (* x (+ 1/2 (/ 1 x)))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 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 (/.f64 #s(literal -1/2 binary64) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (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 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) 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))))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal 5/12 binary64) x #s(literal 1/2 binary64)))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x 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 (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 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) x) (/.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 (fma.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)))) x) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #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)) (+ (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 1/3 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 (/.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 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (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 (+.f64 (fma.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)))) #s(literal -1 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 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)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 140 |
| 0 | 39 | 140 |
| 1 | 132 | 140 |
| 2 | 931 | 138 |
| 0 | 8975 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(neg.f64 x) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) |
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -5/12 binary64) x) |
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #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 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #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))) (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x (+.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 x (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x (+.f64 #s(literal -1 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x (+.f64 #s(literal -1 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -5/12 binary64) x) |
(*.f64 x #s(literal -5/12 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/12 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (-.f64 (*.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) x) #s(literal 1/2 binary64)) x) |
(*.f64 x (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)))) |
(*.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (*.f64 x (neg.f64 (-.f64 (*.f64 #s(literal 25/144 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 5/12 binary64) x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 (*.f64 #s(literal -125/1728 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (fma.f64 #s(literal -5/24 binary64) x #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 #s(literal 25/144 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x)) (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 #s(literal -125/1728 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) x)) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (fma.f64 #s(literal -5/24 binary64) x #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 25/144 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x)) (fma.f64 #s(literal 5/12 binary64) x #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -125/1728 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) x)) (neg.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (fma.f64 #s(literal -5/24 binary64) x #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 25/144 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 5/12 binary64) x #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal -125/1728 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (fma.f64 #s(literal -5/24 binary64) x #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 25/144 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -125/1728 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) x) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (fma.f64 #s(literal -5/24 binary64) x #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 25/144 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -125/1728 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (fma.f64 #s(literal -5/24 binary64) x #s(literal 1/4 binary64)))) |
Compiled 9 341 to 1 102 computations (88.2% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 208 | 3 | 211 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 1 | 1 |
| Total | 210 | 6 | 216 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 5.5% | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| ▶ | 99.9% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
| ✓ | 100.0% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
| ▶ | 99.5% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
| ▶ | 36.5% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
| ✓ | 97.8% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Compiled 115 to 86 computations (25.2% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (-.f64 (*.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))) (-.f64 (*.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 | (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) | |
| cost-diff | 0 | #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))))) | |
| cost-diff | 3 | (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 203 |
| 0 | 48 | 203 |
| 1 | 67 | 203 |
| 2 | 101 | 203 |
| 3 | 207 | 203 |
| 4 | 483 | 203 |
| 5 | 1716 | 197 |
| 6 | 6422 | 197 |
| 0 | 8107 | 185 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 5/12 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 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))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 5/12 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 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))) (-.f64 (*.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 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x))) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) | |
| accuracy | 0.0 | (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) | |
| accuracy | 0.09491612069552782 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.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 | 0.3394238878405422 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.01953125 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))))) | |
| accuracy | 0.05859375 | (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) | |
| accuracy | 0.1640625 | (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) | |
| accuracy | 40.30981541509246 | (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
| 132.0ms | 84× | 2 | valid |
| 93.0ms | 158× | 1 | valid |
| 3.0ms | 14× | 0 | valid |
Compiled 145 to 33 computations (77.2% saved)
ival-log: 85.0ms (49.7% of total)adjust: 25.0ms (14.6% of total)ival-div: 14.0ms (8.2% of total)ival-sub: 14.0ms (8.2% of total)ival-mult: 11.0ms (6.4% of total)const: 8.0ms (4.7% of total)ival-pow: 7.0ms (4.1% of total)ival-add: 4.0ms (2.3% of total)ival-log1p: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 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))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) |
| Outputs |
|---|
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(/ -1 (pow x 3)) |
(/ (- (* -1 x) 1) (pow x 3)) |
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3)) |
(/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (pow x 3)) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(- (* -1/2 x) 1) |
(/ -1 (pow x 2)) |
(/ (- (* -1 x) 1) (pow 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 (/ (+ (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 |
(* -1 (+ 5/12 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 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 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) 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)) (+ (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 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 5/12) |
(* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (pow x 3)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (+ (* -1/2 x) -1) x) 1) (* (+ (* -1/2 x) -1) x) (+ (* -1/2 x) -1) (/ (+ (/ -1 x) -1) x) (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x)) |
| 1.0ms | x | @ | inf | ((* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (pow x 3)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (+ (* -1/2 x) -1) x) 1) (* (+ (* -1/2 x) -1) x) (+ (* -1/2 x) -1) (/ (+ (/ -1 x) -1) x) (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x)) |
| 1.0ms | x | @ | 0 | ((* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (pow x 3)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (+ (* -1/2 x) -1) x) 1) (* (+ (* -1/2 x) -1) x) (+ (* -1/2 x) -1) (/ (+ (/ -1 x) -1) x) (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 1061 |
| 1 | 606 | 941 |
| 2 | 2356 | 849 |
| 0 | 8675 | 837 |
| 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 (pow x 3)) |
(/ (- (* -1 x) 1) (pow x 3)) |
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3)) |
(/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (pow x 3)) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(- (* -1/2 x) 1) |
(/ -1 (pow x 2)) |
(/ (- (* -1 x) 1) (pow 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 (/ (+ (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 |
(* -1 (+ 5/12 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 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 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) 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)) (+ (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 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 5/12) |
(* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(-.f64 (*.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) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/ -1 (pow x 3)) |
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 x) 1) (pow x 3)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3)) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (pow x 3)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 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) |
(- (* -1/2 x) 1) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) 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 (-.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 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (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 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -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 (/.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)) #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 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) x)) (*.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)))) |
(- (+ (* -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 (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) x)) (neg.f64 (log.f64 x))) (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (*.f64 x x))) (/.f64 (+.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)) #s(literal -1 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)))) (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))) (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 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (fma.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)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) |
-5/12 |
#s(literal -5/12 binary64) |
(* -1 (+ 5/12 (* 1/2 (/ 1 x)))) |
(-.f64 #s(literal -5/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 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 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) (*.f64 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 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (+ 1/2 (/ 1 x)) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) |
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 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 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) x) (/.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 (fma.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)))) x) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #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)) (+ (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 1/3 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 (/.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 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (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 (+.f64 (fma.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)))) #s(literal -1 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 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 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 5/12) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) |
(* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 172 |
| 0 | 48 | 172 |
| 1 | 197 | 172 |
| 2 | 1404 | 172 |
| 0 | 8377 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 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))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64)))) (neg.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64))) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64))) (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))))) |
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))) (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)))) (*.f64 (/.f64 #s(literal 25/144 binary64) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))) (/.f64 #s(literal 25/144 binary64) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))))) (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))) (/.f64 #s(literal 25/144 binary64) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))))) |
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(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))) x) (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))) x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) x)) |
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)) |
Compiled 14 581 to 1 891 computations (87% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 287 | 1 | 288 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 3 | 3 |
| Total | 288 | 6 | 294 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 5.5% | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| ✓ | 99.9% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
| ✓ | 100.0% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
| ✓ | 99.5% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
| ▶ | 37.1% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x))) |
| ✓ | 97.8% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Compiled 117 to 86 computations (26.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)) | |
| cost-diff | 0 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x))) | |
| cost-diff | 1 | (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) | |
| cost-diff | 4 | (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 167 |
| 0 | 37 | 167 |
| 1 | 59 | 167 |
| 2 | 102 | 161 |
| 3 | 220 | 161 |
| 4 | 472 | 161 |
| 5 | 1690 | 155 |
| 6 | 5524 | 155 |
| 7 | 7916 | 155 |
| 0 | 8418 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x))) |
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 5/12 binary64) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)) |
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x) |
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x) x #s(literal -1 binary64)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 5/12 binary64) |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05859375 | (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) | |
| accuracy | 0.1640625 | (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) | |
| accuracy | 0.1640625 | (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x) | |
| accuracy | 38.9427093853964 | (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) |
| 157.0ms | 158× | 1 | valid |
| 78.0ms | 84× | 2 | valid |
| 3.0ms | 14× | 0 | valid |
Compiled 115 to 27 computations (76.5% saved)
ival-div: 62.0ms (28.6% of total)ival-log: 61.0ms (28.1% of total)ival-mult: 28.0ms (12.9% of total)ival-sub: 27.0ms (12.5% of total)adjust: 23.0ms (10.6% of total)const: 9.0ms (4.2% of total)ival-add: 3.0ms (1.4% of total)ival-log1p: 2.0ms (0.9% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x))) |
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) |
| Outputs |
|---|
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(/ -1 x) |
(/ (- (* -1 x) 1) x) |
(/ (- (* x (- (* -1/2 x) 1)) 1) x) |
(/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) x) |
(/ -1 (pow x 2)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/ -1 (pow x 3)) |
(/ (- (* -1 x) 1) (pow x 3)) |
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3)) |
(* -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)) |
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 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))))))))) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) 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 2) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 5/12)) |
(* -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 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* (* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (* x x)) x) (* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (* x x)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (/ (+ (/ -1 x) -1) x) (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x)) |
| 1.0ms | x | @ | 0 | ((* (* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (* x x)) x) (* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (* x x)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (/ (+ (/ -1 x) -1) x) (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x)) |
| 1.0ms | x | @ | inf | ((* (* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (* x x)) x) (* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (* x x)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (/ (+ (/ -1 x) -1) x) (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 1044 |
| 1 | 585 | 926 |
| 2 | 2211 | 835 |
| 0 | 8513 | 829 |
| 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 x) |
(/ (- (* -1 x) 1) x) |
(/ (- (* x (- (* -1/2 x) 1)) 1) x) |
(/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) x) |
(/ -1 (pow x 2)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/ -1 (pow x 3)) |
(/ (- (* -1 x) 1) (pow x 3)) |
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3)) |
(* -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)) |
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 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))))))))) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) 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 2) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 5/12)) |
(* -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 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(- (* x (- (* -1/2 x) 1)) 1) |
(-.f64 (*.f64 (-.f64 (*.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) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1 x) 1) x) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (- (* -1/2 x) 1)) 1) x) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) x) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ -1 (pow x 3)) |
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 x) 1) (pow x 3)) |
(/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (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 (/.f64 #s(literal -1/2 binary64) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (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 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) 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 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -5/12 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 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 (/.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)) #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 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) x)) (*.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)))) |
(- (+ (* -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 (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) x)) (neg.f64 (log.f64 x))) (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (*.f64 x x))) (/.f64 (+.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)) #s(literal -1 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)))) (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))) (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 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (fma.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)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (+ 1/2 (/ 1 x)) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) |
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 5/12)) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x 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 (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 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) x) (/.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 (fma.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)))) x) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #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)) (+ (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 1/3 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 (/.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 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (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 (+.f64 (fma.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)))) #s(literal -1 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 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 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 130 |
| 0 | 37 | 130 |
| 1 | 157 | 124 |
| 2 | 1089 | 124 |
| 0 | 8875 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x))) |
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x) x) x) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x)) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 x (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) (+.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) (+.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) |
(neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x) (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x))) |
(*.f64 (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))) (neg.f64 x)) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) |
(*.f64 x (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64)) x) x)) (neg.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64)) x) x)) (neg.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) (+.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64)))) (neg.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64)))) (neg.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) (+.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64)) x) x) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64)) x) x) (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) (+.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64))) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64))) (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) (+.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))) x)) |
(neg.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 x (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))))) |
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (neg.f64 x) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (neg.f64 x) #s(literal -3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (neg.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x) (neg.f64 x)) (*.f64 x x)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) x (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (+.f64 x (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (fma.f64 x #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (+.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (fma.f64 x #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) x))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x (pow.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) x) (*.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (+.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x))) |
(/.f64 (fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (neg.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) |
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))))) (/.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (+.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (neg.f64 x) #s(literal -3 binary64)))))) |
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 x x)) (/.f64 (neg.f64 x) (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x))) |
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x)) (/.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) x) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) x)) |
(+.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 x (*.f64 (neg.f64 x) x))) |
(+.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x)))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (neg.f64 x)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/2 binary64)) (neg.f64 x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) x))) |
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) x)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) |
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) (neg.f64 x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) (*.f64 x x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))) x) (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))) x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))))) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))))) x)) |
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 x)) (-.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)) |
Compiled 8 378 to 1 195 computations (85.7% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 152 | 1 | 153 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 152 | 7 | 159 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 5.5% | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| ✓ | 99.9% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
| ✓ | 100.0% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
| ✓ | 99.5% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
| 28.2% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.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)) (*.f64 x x)) x))) | |
| ✓ | 37.1% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x))) |
| ✓ | 97.8% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Compiled 418 to 196 computations (53.1% 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))) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.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 (*.f64 (-.f64 (*.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 (*.f64 (-.f64 (*.f64 (-.f64 (*.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))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.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)) (*.f64 x x)) x))) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| 100.0% | 1 | 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))) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.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 (*.f64 (-.f64 (*.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))) (-.f64 (*.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 |
|---|---|---|
| 99.9% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| 99.9% | 1 | 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))) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
| 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 |
|---|---|---|
| 99.5% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| 99.5% | 1 | 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 |
|---|---|---|
| 97.8% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| 97.8% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 65 |
| 1 | 36 | 65 |
| 2 | 45 | 65 |
| 3 | 52 | 65 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.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))) (-.f64 (*.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 |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.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))) (-.f64 (*.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 | 177 | 969 |
| 1 | 582 | 855 |
| 2 | 2284 | 768 |
| 0 | 8571 | 756 |
| 0 | 217 | 1077 |
| 1 | 681 | 941 |
| 2 | 2315 | 857 |
| 0 | 8506 | 847 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 84 to 46 computations (45.2% saved)
Compiled 160 to 76 computations (52.5% saved)
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