
Time bar (total: 7.8s)
| 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)
| 1.1s | 3 017× | 2 | valid |
| 989.0ms | 4 874× | 1 | valid |
| 44.0ms | 365× | 0 | valid |
ival-log: 1.1s (62.3% of total)adjust: 181.0ms (10% of total)ival-div: 157.0ms (8.7% of total)ival-sub: 138.0ms (7.6% of total)ival-fabs: 96.0ms (5.3% of total)ival-log1p: 55.0ms (3% of total)ival-<=: 45.0ms (2.5% of total)exact: 7.0ms (0.4% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 254 | 0 | - | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 254 | 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 | 254 | 0 |
log.f64 | (log.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 254 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 246 | 0 |
| - | 8 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 246 | 0 | 0 |
| - | 8 | 0 | 2 |
| number | freq |
|---|---|
| 0 | 2 |
| 2 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 72.0ms | 196× | 2 | valid |
| 50.0ms | 278× | 1 | valid |
| 3.0ms | 38× | 0 | valid |
Compiled 63 to 25 computations (60.3% saved)
ival-log: 63.0ms (62.7% of total)adjust: 14.0ms (13.9% of total)ival-div: 9.0ms (9% of total)ival-sub: 7.0ms (7% of total)ival-log1p: 4.0ms (4% of total)ival-add: 3.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 24 | 19 |
| 2 | 43 | 19 |
| 3 | 79 | 19 |
| 4 | 115 | 19 |
| 5 | 152 | 19 |
| 6 | 175 | 19 |
| 7 | 186 | 19 |
| 8 | 189 | 19 |
| 9 | 190 | 19 |
| 0 | 7 | 9 |
| 0 | 12 | 9 |
| 1 | 17 | 9 |
| 2 | 21 | 9 |
| 3 | 26 | 9 |
| 4 | 33 | 9 |
| 5 | 41 | 9 |
| 6 | 51 | 9 |
| 7 | 65 | 9 |
| 8 | 69 | 9 |
| 0 | 69 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.1% | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 64 | (log.f64 (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 192 | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 25 |
| 0 | 12 | 25 |
| 1 | 17 | 25 |
| 2 | 21 | 25 |
| 3 | 26 | 25 |
| 4 | 33 | 25 |
| 5 | 41 | 25 |
| 6 | 51 | 25 |
| 7 | 65 | 25 |
| 8 | 69 | 25 |
| 0 | 69 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(log1p.f64 (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(log1p.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0390625 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 57.371342021201556 | (log.f64 (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 57.38813847590946 | (log.f64 (-.f64 #s(literal 1 binary64) x)) |
| 37.0ms | 98× | 2 | valid |
| 25.0ms | 139× | 1 | valid |
| 1.0ms | 19× | 0 | valid |
Compiled 27 to 9 computations (66.7% saved)
ival-log: 30.0ms (58% of total)adjust: 8.0ms (15.5% of total)ival-div: 6.0ms (11.6% of total)ival-sub: 4.0ms (7.7% of total)ival-add: 2.0ms (3.9% of total)ival-log1p: 2.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -1/3 x) 1/2)) 1)) (taylor 0 x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) (taylor 0 x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 x))) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) (taylor inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) (taylor inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -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)))))) (taylor inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -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))))))))) (taylor inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (log (/ -1 x))) (/ 1 x)) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
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 | 1122 |
| 1 | 658 | 1000 |
| 2 | 2012 | 927 |
| 0 | 8310 | 900 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(* -1 (log (/ -1 x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) (log.f64 x)) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) x) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) x) x) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) x) (fma.f64 (/.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 x x)) (log.f64 x)) (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 x x)) (log.f64 x))))) |
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) |
(-.f64 (-.f64 (+.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) x) x) (/.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x))) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (log.f64 x)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (log.f64 x)) (fma.f64 (/.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (log.f64 x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (*.f64 (log.f64 x) (log.f64 x))))))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 12 | 23 |
| 1 | 41 | 23 |
| 2 | 245 | 23 |
| 3 | 2167 | 23 |
| 0 | 10440 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
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Compiled 26 127 to 2 515 computations (90.4% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 889 | 10 | 899 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 889 | 11 | 900 |
| Status | Accuracy | Program |
|---|---|---|
| 6.7% | (/.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x))) | |
| 6.2% | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) | |
| ▶ | 8.0% | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) |
| ✓ | 6.1% | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| 7.3% | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| ▶ | 6.1% | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| ▶ | 100.0% | (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) |
| 99.1% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) | |
| ▶ | 98.8% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| 98.4% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) | |
| ▶ | 96.6% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Compiled 233 to 175 computations (24.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log1p.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) | |
| cost-diff | 64 | (log.f64 (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 192 | (log.f64 (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (log1p.f64 (*.f64 (neg.f64 x) x)) | |
| cost-diff | 0 | (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) | |
| cost-diff | 0 | (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) | |
| cost-diff | 13504 | (/.f64 (log1p.f64 x) (log1p.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 179 |
| 0 | 59 | 171 |
| 1 | 86 | 171 |
| 2 | 125 | 171 |
| 3 | 254 | 171 |
| 4 | 515 | 171 |
| 5 | 1177 | 171 |
| 6 | 2186 | 171 |
| 7 | 3627 | 171 |
| 8 | 4436 | 171 |
| 9 | 4724 | 171 |
| 10 | 4892 | 171 |
| 11 | 5171 | 171 |
| 12 | 5567 | 171 |
| 13 | 7494 | 171 |
| 0 | 8010 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) |
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) |
(log1p.f64 (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(log1p.f64 x) |
(/.f64 (log1p.f64 x) (log1p.f64 x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal -1 binary64) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(log1p.f64 x) |
| Outputs |
|---|
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) |
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 1 binary64)) |
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) |
(log1p.f64 (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(log1p.f64 x) |
(/.f64 (log1p.f64 x) (log1p.f64 x)) |
#s(literal 1 binary64) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal -1 binary64) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x)) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(log1p.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(log1p.f64 (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(log1p.f64 x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (log1p.f64 x) | |
| accuracy | 0.0390625 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) | |
| accuracy | 57.38813847590946 | (log.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.03515625 | (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) | |
| accuracy | 0.0390625 | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.5644924412558516 | #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| accuracy | 57.371342021201556 | (log.f64 (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) | |
| accuracy | 0.7442761334016221 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) | |
| accuracy | 2.1915496678790327 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (log1p.f64 x) | |
| accuracy | 0.01171875 | (log1p.f64 (*.f64 (neg.f64 x) x)) | |
| accuracy | 30.49767144232988 | (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) |
| 117.0ms | 98× | 2 | valid |
| 70.0ms | 139× | 1 | valid |
| 4.0ms | 19× | 0 | valid |
Compiled 189 to 30 computations (84.1% saved)
ival-log: 31.0ms (23.5% of total)adjust: 25.0ms (19% of total)ival-mult: 21.0ms (15.9% of total)ival-sub: 18.0ms (13.6% of total)ival-div: 10.0ms (7.6% of total)ival-add: 10.0ms (7.6% of total)const: 8.0ms (6.1% of total)ival-log1p: 6.0ms (4.5% of total)ival-neg: 2.0ms (1.5% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (*.f64 (neg.f64 x) x)) (patch (log1p.f64 (*.f64 (neg.f64 x) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -5/12 x) 1/2)) 1)) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1)) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (log1p.f64 (*.f64 (neg.f64 x) x)) (patch (log1p.f64 (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1/2 (pow x 2)) 1)) (taylor 0 x) (#s(alt (log1p.f64 (*.f64 (neg.f64 x) x)) (patch (log1p.f64 (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1)) (taylor 0 x) (#s(alt (log1p.f64 (*.f64 (neg.f64 x) x)) (patch (log1p.f64 (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1)) (taylor 0 x) (#s(alt (log1p.f64 (*.f64 (neg.f64 x) x)) (patch (log1p.f64 (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/2 x) 1) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/2 x) 1) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/2 x) 1) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -1/3 x) 1/2)) 1)) (taylor 0 x) (#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) (taylor 0 x) (#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -1/3 x) 1/2)) 1)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((/ (log (+ 1 x)) (log (+ 1 x))) (- (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x)))) (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 (* (neg x) x))) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (neg x) (+ (* -1/4 x) -1/3)) |
| 4.0ms | x | @ | -inf | ((/ (log (+ 1 x)) (log (+ 1 x))) (- (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x)))) (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 (* (neg x) x))) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (neg x) (+ (* -1/4 x) -1/3)) |
| 2.0ms | x | @ | 0 | ((/ (log (+ 1 x)) (log (+ 1 x))) (- (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x)))) (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 (* (neg x) x))) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (neg x) (+ (* -1/4 x) -1/3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 379 | 5735 |
| 1 | 1154 | 5224 |
| 2 | 3716 | 5059 |
| 0 | 8429 | 4860 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
-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 (- (* -5/12 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1/2 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1)) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
-1 |
(- (* -1/2 x) 1) |
(- (* -1/2 x) 1) |
(- (* -1/2 x) 1) |
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 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 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
-1/3 |
(- (* -1/4 x) 1/3) |
(- (* -1/4 x) 1/3) |
(- (* -1/4 x) 1/3) |
1 |
1 |
1 |
1 |
(- (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1) |
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2))))) |
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))) |
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(* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) |
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) |
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
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(+ (log -1) (* -2 (log (/ 1 x)))) |
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2))) |
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2))) |
(* -1 (/ (+ (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 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
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(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 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 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1/4 x) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -5/12 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -5/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* -1/2 (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 x) 1) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
(- (* -1/2 x) 1) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
(- (* -1/2 x) 1) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* -1/4 x) 1/3) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(- (* -1/4 x) 1/3) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(- (* -1/4 x) 1/3) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(- (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1) |
(-.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2))))) |
(-.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)))) x) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x))) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (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 binary64) (*.f64 x x)) (log.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x))) (-.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (*.f64 x x)) (log.f64 x)) (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (-.f64 (/.f64 (/.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) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))) |
(-.f64 (-.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (log.f64 x))) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (log.f64 x)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (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)))) (log.f64 x)) #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 x)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (log.f64 x))) (/.f64 #s(literal 1 binary64) (log.f64 x))) (log.f64 x)))) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (*.f64 x x)) (log.f64 x)) (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (/.f64 (/.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) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) |
(/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) |
(- (+ (* -1 (/ (+ (log -1) (* -2 (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 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x))) |
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (log.f64 x))) (fma.f64 (/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (*.f64 x x)) (log.f64 x)) (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (-.f64 (/.f64 (/.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) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) |
(-.f64 (-.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (log.f64 x))) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (log.f64 x)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (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)))) (log.f64 x)) #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 x)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (log.f64 x))) (/.f64 #s(literal 1 binary64) (log.f64 x))) (log.f64 x)))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (*.f64 x x)) (log.f64 x)) (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (-.f64 (/.f64 (/.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))))) |
(+ (log -1) (* -2 (log (/ 1 x)))) |
(fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) |
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2))) |
(-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) (log.f64 #s(literal -1 binary64))) |
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2))) |
(-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
(/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) |
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(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1/4 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x)) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1/4 x) |
(*.f64 #s(literal -1/4 binary64) x) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 140 |
| 0 | 59 | 135 |
| 1 | 214 | 129 |
| 2 | 1396 | 129 |
| 0 | 8519 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log1p.f64 x) (log1p.f64 x)) |
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) |
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) |
(log1p.f64 (*.f64 (neg.f64 x) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(log.f64 (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(log1p.f64 x) |
(neg.f64 x) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
| Outputs |
|---|
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Compiled 22 035 to 2 408 computations (89.1% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 853 | 3 | 856 |
| Fresh | 3 | 2 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 860 | 7 | 867 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ▶ | 99.3% | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| ▶ | 99.7% | (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x))) |
| ▶ | 99.1% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| ✓ | 98.8% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| ▶ | 98.4% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
| ✓ | 96.6% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Compiled 124 to 95 computations (23.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (log1p.f64 (neg.f64 x)) | |
| cost-diff | 0 | (neg.f64 (log1p.f64 (neg.f64 x))) | |
| cost-diff | 448 | (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) | |
| 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 | (log1p.f64 x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (log1p.f64 (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 237 |
| 0 | 67 | 230 |
| 1 | 101 | 230 |
| 2 | 183 | 230 |
| 3 | 470 | 230 |
| 4 | 1212 | 230 |
| 5 | 2801 | 230 |
| 6 | 3916 | 230 |
| 7 | 5130 | 230 |
| 8 | 6243 | 230 |
| 9 | 6878 | 230 |
| 10 | 7309 | 230 |
| 11 | 7321 | 230 |
| 12 | 7321 | 230 |
| 13 | 7439 | 230 |
| 14 | 7443 | 230 |
| 15 | 7443 | 230 |
| 0 | 8520 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(log1p.f64 x) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
#s(literal -5/12 binary64) |
x |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x))) |
(neg.f64 (log1p.f64 (neg.f64 x))) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(/.f64 #s(literal -1 binary64) (log1p.f64 x)) |
#s(literal -1 binary64) |
(log1p.f64 x) |
| Outputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(log1p.f64 x) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
#s(literal -5/12 binary64) |
x |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(neg.f64 (log1p.f64 (neg.f64 x))) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(/.f64 #s(literal -1 binary64) (log1p.f64 x)) |
#s(literal -1 binary64) |
(log1p.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log1p.f64 (neg.f64 x)) | |
| accuracy | 0 | (log1p.f64 x) | |
| accuracy | 0.02734375 | (/.f64 #s(literal -1 binary64) (log1p.f64 x)) | |
| accuracy | 0.1796875 | (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x))) | |
| accuracy | 0.03515625 | (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) | |
| accuracy | 0.0390625 | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| accuracy | 0.5644924412558516 | #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| accuracy | 0.5686077082341754 | #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) | |
| accuracy | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) | |
| accuracy | 0 | (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) | |
| accuracy | 0.5796093395574256 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) x) | |
| accuracy | 1.0319236398945122 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (log1p.f64 (neg.f64 x)) | |
| accuracy | 0 | (log1p.f64 x) | |
| accuracy | 0.0390625 | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| 99.0ms | 98× | 2 | valid |
| 93.0ms | 139× | 1 | valid |
| 6.0ms | 19× | 0 | valid |
Compiled 224 to 40 computations (82.1% saved)
ival-log: 33.0ms (20.2% of total)const: 28.0ms (17.1% of total)adjust: 27.0ms (16.5% of total)ival-mult: 26.0ms (15.9% of total)ival-div: 20.0ms (12.2% of total)ival-add: 17.0ms (10.4% of total)ival-sub: 5.0ms (3.1% of total)ival-log1p: 3.0ms (1.8% of total)ival-neg: 3.0ms (1.8% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x))) (patch (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log1p.f64 (neg.f64 x))) (patch (neg.f64 (log1p.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (log1p.f64 x)) (patch (/.f64 #s(literal -1 binary64) (log1p.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -1/3 x) 1/2)) 1)) (taylor 0 x) (#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) (taylor 0 x) (#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/2 x) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -5/12 x) 1/2)) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -5/12 x) 1/2)) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor 0 x) (#s(alt (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -5/12 x) 1/2) (taylor 0 x) (#s(alt (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -5/12 x) 1/2) (taylor 0 x) (#s(alt (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (* (neg (log (+ 1 (neg x)))) (/ -1 (log (+ 1 x)))) (neg (log (+ 1 (neg x)))) (log (+ 1 x)) (+ (* -1/4 x) -1/3) (/ -1 (log (+ 1 x)))) |
| 2.0ms | x | @ | inf | ((/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (* (neg (log (+ 1 (neg x)))) (/ -1 (log (+ 1 x)))) (neg (log (+ 1 (neg x)))) (log (+ 1 x)) (+ (* -1/4 x) -1/3) (/ -1 (log (+ 1 x)))) |
| 1.0ms | x | @ | 0 | ((/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (* (neg (log (+ 1 (neg x)))) (/ -1 (log (+ 1 x)))) (neg (log (+ 1 (neg x)))) (log (+ 1 x)) (+ (* -1/4 x) -1/3) (/ -1 (log (+ 1 x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 374 | 5602 |
| 1 | 1184 | 5037 |
| 2 | 3950 | 4859 |
| 0 | 8247 | 4704 |
| 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)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
-1 |
(- (* -1/2 x) 1) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
-1/2 |
(- (* -5/12 x) 1/2) |
(- (* -5/12 x) 1/2) |
(- (* -5/12 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 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 |
(- (* -1/2 x) 1) |
(- (* x (- (* -1/3 x) 1/2)) 1) |
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/3 (* 1/4 x))))))) |
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)))) |
-1/3 |
(- (* -1/4 x) 1/3) |
(- (* -1/4 x) 1/3) |
(- (* -1/4 x) 1/3) |
(/ -1 x) |
(/ (- (* -1/2 x) 1) x) |
(/ (- (* x (- (* 1/12 x) 1/2)) 1) x) |
(/ (- (* x (- (* x (+ 1/12 (* -1/24 x))) 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)))) |
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(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(* -1 x) |
(* -1 x) |
(* -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)))))) |
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(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) |
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(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) |
(* -5/12 (pow x 3)) |
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* -5/12 (pow x 2)) |
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)) |
(* -5/12 x) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
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(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
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(/ -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
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| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
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(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) |
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(log (/ -1 x)) |
(log.f64 (/.f64 #s(literal -1 binary64) x)) |
(- (/ 1 x) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (* -1 (log (/ -1 x)))) |
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
(* -1/4 x) |
(*.f64 #s(literal -1/4 binary64) x) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(/ -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(- (* -1 (/ (- (+ (/ 1/2 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (+.f64 (/.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 1/2 binary64) x) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x)) |
(- (* -1 (/ (- (* -1 (/ (- (+ (/ 1/3 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4))))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) x)) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))) (/.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 1/3 binary64) x) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x)) x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 174 |
| 0 | 67 | 168 |
| 1 | 260 | 168 |
| 2 | 1818 | 159 |
| 0 | 8559 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
(log1p.f64 x) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x))) |
(neg.f64 (log1p.f64 (neg.f64 x))) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(/.f64 #s(literal -1 binary64) (log1p.f64 x)) |
| Outputs |
|---|
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Compiled 20 888 to 2 591 computations (87.6% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 821 | 6 | 827 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 822 | 12 | 834 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ▶ | 99.3% | (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| 99.3% | (/.f64 #s(approx (log (- 1 x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| ▶ | 99.3% | (/.f64 #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| ✓ | 99.3% | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| ▶ | 99.0% | (*.f64 (pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
| ▶ | 98.9% | (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | 99.1% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| ✓ | 98.8% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| ▶ | 99.1% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
| ✓ | 98.4% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
| ✓ | 96.6% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Compiled 370 to 248 computations (33% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) | |
| cost-diff | 6080 | (*.f64 (pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (log1p.f64 (neg.f64 x)) | |
| cost-diff | 0 | (neg.f64 (log1p.f64 (neg.f64 x))) | |
| cost-diff | 0 | (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) | |
| cost-diff | 128 | (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| cost-diff | 128 | (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 605 |
| 0 | 89 | 594 |
| 1 | 142 | 586 |
| 2 | 241 | 584 |
| 3 | 656 | 584 |
| 4 | 1704 | 584 |
| 5 | 4143 | 584 |
| 6 | 5779 | 584 |
| 7 | 7620 | 584 |
| 0 | 8009 | 568 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
(neg.f64 x) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
#s(literal -5/12 binary64) |
x |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (log1p.f64 (neg.f64 x))) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) |
#s(literal -1/24 binary64) |
#s(literal 1/12 binary64) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
(pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal 1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
(neg.f64 x) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
#s(literal -5/12 binary64) |
x |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/4 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (/ -1 (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (neg.f64 (log1p.f64 (neg.f64 x)))) |
(neg.f64 (log1p.f64 (neg.f64 x))) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ -1 (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) |
(-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) |
#s(literal -1/24 binary64) |
#s(literal 1/12 binary64) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) |
#s(literal -1/4 binary64) |
x |
#s(literal 1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) | |
| accuracy | 0.171875 | (*.f64 (pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| accuracy | 0.5644924412558516 | #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| accuracy | 61.48732488936242 | #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) | |
| accuracy | 0.01171875 | (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0234375 | (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) | |
| accuracy | 0.1796875 | (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.5132925677277443 | #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0390625 | (/.f64 #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| accuracy | 0.0390625 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) | |
| accuracy | 0.5644924412558516 | #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) | |
| accuracy | 0.5686077082341754 | #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) | |
| accuracy | 0 | (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) | |
| accuracy | 0.5796093395574256 | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) | |
| accuracy | 0.03515625 | (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) | |
| accuracy | 0.0390625 | (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| accuracy | 0.5644924412558516 | #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) | |
| accuracy | 0.5686077082341754 | #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
| 229.0ms | 139× | 1 | valid |
| 149.0ms | 97× | 2 | valid |
| 20.0ms | 20× | 0 | valid |
Compiled 470 to 52 computations (88.9% saved)
ival-mult: 127.0ms (38% of total)const: 38.0ms (11.4% of total)ival-log: 37.0ms (11.1% of total)adjust: 33.0ms (9.9% of total)ival-div: 30.0ms (9% of total)ival-pow: 30.0ms (9% of total)ival-add: 22.0ms (6.6% of total)ival-sub: 11.0ms (3.3% of total)ival-log1p: 4.0ms (1.2% of total)ival-neg: 2.0ms (0.6% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) (patch #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) (patch #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (patch (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log1p.f64 (neg.f64 x))) (patch (neg.f64 (log1p.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) (patch (*.f64 (pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 x) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -1/3 x) 1/2)) 1)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) (patch #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) (patch #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -1/3 x) 1/2)) 1)) (taylor 0 x) (#s(alt #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) (patch #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) (taylor 0 x) (#s(alt #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) (patch #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1/3 x) 1/2)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (+ (/ 1/2 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (* -1 (/ (- (+ (/ 1/3 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4))))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) x)) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/24 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/24 (* 1/12 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/24 (* 1/12 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/24 (* 1/12 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/24 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 x)) 1/24)) (taylor -inf x) (#s(alt (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/12) x)) 1/24)) (taylor -inf x) (#s(alt (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12) x)) 1/24)) (taylor -inf x) (#s(alt (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (log (/ -1 x))) (/ 1 x)) (taylor -inf x) (#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (taylor -inf x) (#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) (taylor -inf x) (#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((+ (* (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) x) (neg x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) (- (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) (+ (* (+ (* -5/12 x) -1/2) x) -1) (/ x (/ 1 (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1))) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (/ 1 (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1)) (* (neg (log (+ 1 (neg x)))) (/ -1 (log (+ 1 x)))) (neg (log (+ 1 (neg x)))) (log (+ 1 (neg x))) (neg x) (* (pow (log (- 1 x)) -1) (log (- 1 x))) (pow (log (- 1 x)) -1) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (log (+ 1 x)) (+ (* -1/4 x) -1/3) (+ (* -5/12 x) -1/2) (/ -1 (log (+ 1 x))) (+ (* -1/24 x) 1/12) (- (+ (* (+ (* -1/24 x) 1/12) x) -1/2) (/ 1 x)) (log (- 1 x))) |
| 3.0ms | x | @ | 0 | ((+ (* (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) x) (neg x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) (- (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) (+ (* (+ (* -5/12 x) -1/2) x) -1) (/ x (/ 1 (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1))) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (/ 1 (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1)) (* (neg (log (+ 1 (neg x)))) (/ -1 (log (+ 1 x)))) (neg (log (+ 1 (neg x)))) (log (+ 1 (neg x))) (neg x) (* (pow (log (- 1 x)) -1) (log (- 1 x))) (pow (log (- 1 x)) -1) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (log (+ 1 x)) (+ (* -1/4 x) -1/3) (+ (* -5/12 x) -1/2) (/ -1 (log (+ 1 x))) (+ (* -1/24 x) 1/12) (- (+ (* (+ (* -1/24 x) 1/12) x) -1/2) (/ 1 x)) (log (- 1 x))) |
| 3.0ms | x | @ | -inf | ((+ (* (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) x) (neg x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) (- (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) (+ (* (+ (* -5/12 x) -1/2) x) -1) (/ x (/ 1 (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1))) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (/ 1 (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1)) (* (neg (log (+ 1 (neg x)))) (/ -1 (log (+ 1 x)))) (neg (log (+ 1 (neg x)))) (log (+ 1 (neg x))) (neg x) (* (pow (log (- 1 x)) -1) (log (- 1 x))) (pow (log (- 1 x)) -1) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (log (+ 1 x)) (+ (* -1/4 x) -1/3) (+ (* -5/12 x) -1/2) (/ -1 (log (+ 1 x))) (+ (* -1/24 x) 1/12) (- (+ (* (+ (* -1/24 x) 1/12) x) -1/2) (/ 1 x)) (log (- 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 520 | 6179 |
| 1 | 1601 | 5652 |
| 2 | 5102 | 5522 |
| 0 | 8219 | 5332 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(* -1/2 x) |
(* x (- (* -1/3 x) 1/2)) |
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) |
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
-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 (- (* -5/12 x) 1/2)) 1)) |
(* x (- (* x (- (* -5/12 x) 1/2)) 1)) |
-1 |
(- (* -1/2 x) 1) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
(- (* x (- (* -5/12 x) 1/2)) 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 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 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* 1/12 x))) 1) |
(- (* x (+ 1/2 (* x (+ 1/12 (* 1/24 x))))) 1) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1/2 x) 1)) 1) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/3 (* 1/4 x))))))) |
(* -1 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 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
1 |
1 |
1 |
1 |
(/ -1 x) |
(/ (- (* 1/2 x) 1) x) |
(/ (- (* x (+ 1/2 (* 1/12 x))) 1) x) |
(/ (- (* x (+ 1/2 (* x (+ 1/12 (* 1/24 x))))) 1) x) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
-1/3 |
(- (* -1/4 x) 1/3) |
(- (* -1/4 x) 1/3) |
(- (* -1/4 x) 1/3) |
-1/2 |
(- (* -5/12 x) 1/2) |
(- (* -5/12 x) 1/2) |
(- (* -5/12 x) 1/2) |
(/ -1 x) |
(/ (- (* -1/2 x) 1) x) |
(/ (- (* x (- (* 1/12 x) 1/2)) 1) x) |
(/ (- (* x (- (* x (+ 1/12 (* -1/24 x))) 1/2)) 1) x) |
1/12 |
(+ 1/12 (* -1/24 x)) |
(+ 1/12 (* -1/24 x)) |
(+ 1/12 (* -1/24 x)) |
(/ -1 x) |
(/ (- (* -1/2 x) 1) x) |
(/ (- (* x (- (* 1/12 x) 1/2)) 1) x) |
(/ (- (* x (- (* x (+ 1/12 (* -1/24 x))) 1/2)) 1) x) |
(* -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)) |
(* -1/4 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (/ (+ (log -1) (* -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)) |
(* -1/4 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) |
(* -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)))) |
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(+ (* -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))) |
(log (/ -1 x)) |
(- (/ 1 x) (* -1 (log (/ -1 x)))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (* -1 (log (/ -1 x)))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (* -1 (log (/ -1 x)))) |
(* -1 (log (/ -1 x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
1 |
1 |
1 |
1 |
(/ -1 (log (/ -1 x))) |
(- (/ 1 (* x (pow (log (/ -1 x)) 2))) (/ 1 (log (/ -1 x)))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (pow (log (/ -1 x)) 2))) (/ 1 (pow (log (/ -1 x)) 3))) x)) (/ 1 (pow (log (/ -1 x)) 2))) x)) (/ 1 (log (/ -1 x)))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log (/ -1 x)) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log (/ -1 x)) 2))) (/ 1 (pow (log (/ -1 x)) 3))) (log (/ -1 x)))) (* 1/3 (/ 1 (pow (log (/ -1 x)) 2))))) x)) (* 1/2 (/ 1 (pow (log (/ -1 x)) 2)))) (/ 1 (pow (log (/ -1 x)) 3))) x)) (/ 1 (pow (log (/ -1 x)) 2))) x)) (/ 1 (log (/ -1 x)))) |
(* -1 (log (/ -1 x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* -1/4 (pow x 4)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4)) |
(+ (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)))) |
(* -1/4 x) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(* -5/12 x) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(/ -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(- (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(- (* -1 (/ (- (+ (/ 1/2 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (/ 1/3 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4))))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) x)) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* -1/24 x) |
(* -1 (* x (- 1/24 (* 1/12 (/ 1 x))))) |
(* -1 (* x (- 1/24 (* 1/12 (/ 1 x))))) |
(* -1 (* x (- 1/24 (* 1/12 (/ 1 x))))) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 x)) 1/24)) |
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/12) x)) 1/24)) |
(* (pow x 2) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12) x)) 1/24)) |
(* -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))) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* -1/3 x) 1/2)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) |
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) |
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -5/12 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -5/12 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 x) 1) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* -5/12 x) 1/2)) 1) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* 1/12 x))) 1) |
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* x (+ 1/12 (* 1/24 x))))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/3 (* 1/4 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* 1/2 x) 1) x) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (+ 1/2 (* 1/12 x))) 1) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(/ (- (* x (+ 1/2 (* x (+ 1/12 (* 1/24 x))))) 1) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* -1/4 x) 1/3) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(- (* -1/4 x) 1/3) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(- (* -1/4 x) 1/3) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -5/12 x) 1/2) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
(- (* -5/12 x) 1/2) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
(- (* -5/12 x) 1/2) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1/2 x) 1) x) |
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (- (* 1/12 x) 1/2)) 1) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(/ (- (* x (- (* x (+ 1/12 (* -1/24 x))) 1/2)) 1) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* -1/24 x)) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) |
(+ 1/12 (* -1/24 x)) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) |
(+ 1/12 (* -1/24 x)) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1/2 x) 1) x) |
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (- (* 1/12 x) 1/2)) 1) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(/ (- (* x (- (* x (+ 1/12 (* -1/24 x))) 1/2)) 1) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(* -1/4 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
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(-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1/4 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4)) |
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)) (pow.f64 x #s(literal 4 binary64))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
(* -1/4 x) |
(*.f64 #s(literal -1/4 binary64) x) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(* -5/12 x) |
(*.f64 #s(literal -5/12 binary64) x) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
(/ -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(- (* -1 (/ (- (+ (/ 1/2 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (+.f64 (/.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 1/2 binary64) x) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x)) |
(- (* -1 (/ (- (* -1 (/ (- (+ (/ 1/3 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4))))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) x)) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))) (/.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 1/3 binary64) x) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x)) x)) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
(* -1 (* x (- 1/24 (* 1/12 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/12 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- 1/24 (* 1/12 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/12 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- 1/24 (* 1/12 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/12 binary64) x)) (neg.f64 x)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 x)) 1/24)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) x) #s(literal 1/24 binary64)) x) x) |
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/12) x)) 1/24)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)) x) x) |
(* (pow x 2) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12) x)) 1/24)) |
(*.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x)) (*.f64 x x)) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (/.f64 (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 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 398 |
| 0 | 89 | 385 |
| 1 | 363 | 377 |
| 2 | 2638 | 371 |
| 0 | 8260 | 350 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))) |
(/.f64 #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (log1p.f64 (neg.f64 x))) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
(pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) |
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) |
#s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) |
(-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) |
| Outputs |
|---|
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Compiled 42 321 to 3 982 computations (90.6% saved)
14 alts after pruning (4 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 207 | 4 | 1 211 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 209 | 14 | 1 223 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ✓ | 99.3% | (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| 26.7% | (/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) #s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)) (pow.f64 x #s(literal 4 binary64)))))) | |
| ✓ | 99.3% | (/.f64 #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| 98.5% | (/.f64 #s(approx (log (- 1 x)) (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| ✓ | 99.3% | (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| 99.0% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| ✓ | 98.9% | (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
| 98.8% | (*.f64 #s(approx (neg (log (+ 1 (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 99.1% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| ✓ | 98.8% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| ✓ | 99.1% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
| ✓ | 98.4% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
| ✓ | 96.6% | #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Compiled 685 to 304 computations (55.6% saved)
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (log (- 1 x)) (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (neg (log (+ 1 (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 (pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) #s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(approx (log (- 1 x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x))) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) |
(/.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) |
| Outputs |
|---|
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) |
2 calls:
| 7.0ms | x |
| 6.0ms | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (log (- 1 x)) (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (neg (log (+ 1 (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 (pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) #s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(approx (log (- 1 x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x))) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) |
(/.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
2 calls:
| 8.0ms | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (log (- 1 x)) (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (neg (log (+ 1 (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 (pow.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) #s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(approx (log (- 1 x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| Outputs |
|---|
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (log (- 1 x)) (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (neg (log (+ 1 (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
| Outputs |
|---|
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
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 |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (log (- 1 x)) (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (neg (log (+ 1 (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (/ -1 (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
2 calls:
| 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 |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
1 calls:
| 2.0ms | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (/.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)
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
2 calls:
| 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 |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 10 to 8 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 1 | x |
| 96.6% | 1 | (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 173 |
| 1 | 67 | 173 |
| 2 | 81 | 173 |
| 3 | 93 | 173 |
| 4 | 97 | 173 |
| 5 | 98 | 173 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 174 |
| 0 | 67 | 168 |
| 1 | 260 | 168 |
| 2 | 1818 | 159 |
| 0 | 8559 | 159 |
| 0 | 33 | 140 |
| 0 | 59 | 135 |
| 1 | 214 | 129 |
| 2 | 1396 | 129 |
| 0 | 8519 | 122 |
| 0 | 379 | 5735 |
| 1 | 1154 | 5224 |
| 2 | 3716 | 5059 |
| 0 | 8429 | 4860 |
| 0 | 7 | 23 |
| 0 | 12 | 23 |
| 1 | 41 | 23 |
| 2 | 245 | 23 |
| 3 | 2167 | 23 |
| 0 | 10440 | 15 |
| 0 | 217 | 1122 |
| 1 | 658 | 1000 |
| 2 | 2012 | 927 |
| 0 | 8310 | 900 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 288 to 167 computations (42% saved)
Compiled 254 to 114 computations (55.1% saved)
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