
Time bar (total: 6.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 33.3% | 12.5% | 25% | 0% | 0% | 62.5% | 0% | 4 |
| 60% | 18.7% | 12.5% | 0% | 0% | 68.7% | 0% | 5 |
| 77.8% | 21.9% | 6.2% | 0% | 0% | 71.8% | 0% | 6 |
| 88.2% | 23.4% | 3.1% | 0% | 0% | 73.4% | 0% | 7 |
| 93.9% | 24.2% | 1.6% | 0% | 0% | 74.2% | 0% | 8 |
| 96.9% | 24.6% | 0.8% | 0% | 0% | 74.6% | 0% | 9 |
| 98.4% | 24.8% | 0.4% | 0% | 0% | 74.8% | 0% | 10 |
| 99.2% | 24.9% | 0.2% | 0% | 0% | 74.9% | 0% | 11 |
| 99.6% | 24.9% | 0.1% | 0% | 0% | 74.9% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 433.0ms | 8 256× | 0 | valid |
| 1.0ms | 17× | 0 | invalid |
ival-log: 138.0ms (47.2% of total)ival-div: 69.0ms (23.6% of total)ival-sub: 39.0ms (13.3% of total)ival-neg: 34.0ms (11.6% of total)ival-true: 6.0ms (2.1% of total)exact: 4.0ms (1.4% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) | oflow-rescue | 1 | 0 |
| ↳ | (/.f64 #s(literal 1 binary64) x) | overflow | 1 | |
| ↳ | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 512× | 0 | valid |
Compiled 57 to 22 computations (61.4% saved)
ival-log: 6.0ms (38.4% of total)ival-div: 4.0ms (25.6% of total)ival-sub: 2.0ms (12.8% of total)ival-neg: 2.0ms (12.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 26× | sub-neg |
| 16× | +-commutative |
| 12× | lower-+.f64 |
| 12× | lower-+.f32 |
| 12× | associate-+l- |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 21 | 13 |
| 2 | 39 | 13 |
| 3 | 62 | 13 |
| 4 | 74 | 13 |
| 5 | 83 | 13 |
| 6 | 91 | 13 |
| 7 | 100 | 13 |
| 8 | 103 | 13 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 17 | 7 |
| 2 | 20 | 7 |
| 3 | 22 | 7 |
| 4 | 24 | 7 |
| 5 | 28 | 7 |
| 6 | 33 | 7 |
| 0 | 33 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
Compiled 7 to 6 computations (14.3% 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 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 12× | lower-+.f64 |
| 12× | lower-+.f32 |
| 8× | sub-neg |
| 8× | lower--.f32 |
| 6× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 23 |
| 0 | 10 | 23 |
| 1 | 17 | 23 |
| 2 | 20 | 23 |
| 3 | 22 | 23 |
| 4 | 24 | 23 |
| 5 | 28 | 23 |
| 6 | 33 | 23 |
| 0 | 33 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) | |
| accuracy | 0.24994810020585062 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 20.0ms | 256× | 0 | valid |
Compiled 25 to 8 computations (68% saved)
ival-div: 3.0ms (35.3% of total)ival-log: 3.0ms (35.3% of total)ival-sub: 1.0ms (11.8% of total)ival-neg: 1.0ms (11.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (log x) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<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 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)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (log -1) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (log -1) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<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) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.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) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (log -1) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (log -1) (/ 1 x)) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<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) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.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) (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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x)) |
| 1.0ms | x | @ | -inf | ((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x)) |
| 0.0ms | x | @ | inf | ((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x)) |
| 1× | egg-herbie |
| 5 216× | lower-fma.f64 |
| 5 216× | lower-fma.f32 |
| 1 376× | lower-*.f64 |
| 1 376× | lower-*.f32 |
| 944× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 313 |
| 1 | 190 | 292 |
| 2 | 397 | 290 |
| 3 | 968 | 280 |
| 4 | 1971 | 278 |
| 5 | 4221 | 278 |
| 6 | 5618 | 278 |
| 7 | 5789 | 278 |
| 8 | 5802 | 278 |
| 9 | 5802 | 278 |
| 10 | 5802 | 278 |
| 11 | 5977 | 278 |
| 12 | 6010 | 278 |
| 13 | 6010 | 278 |
| 0 | 6010 | 270 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(* -1 (log x)) |
(+ (* -1 x) (* -1 (log x))) |
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) |
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(/ 1 x) |
(/ (+ 1 (* -1 x)) x) |
(/ (+ 1 (* -1 x)) x) |
(/ (+ 1 (* -1 x)) x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(log -1) |
(- (log -1) (/ 1 x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) |
-1 |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(log -1) |
(- (log -1) (/ 1 x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
-1 |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
(- (/ 1 x) 1) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
| Outputs |
|---|
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 (log.f64 x) x) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(+ (* -1 x) (* -1 (log x))) |
(neg.f64 (+.f64 (log.f64 x) x)) |
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) |
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(/ (+ 1 (* -1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(/ (+ 1 (* -1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(/ 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 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(- (log -1) (/ 1 x)) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) |
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(- (/ 1 x) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(- (/ 1 x) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(/ 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 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(- (log -1) (/ 1 x)) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(- (/ 1 x) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(- (/ 1 x) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(/ 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 x) |
(/.f64 #s(literal 1 binary64) x) |
| 3 528× | lower-fma.f64 |
| 3 528× | lower-fma.f32 |
| 2 728× | lower-/.f32 |
| 2 726× | lower-/.f64 |
| 1 996× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 38 | 21 |
| 2 | 236 | 21 |
| 3 | 2504 | 21 |
| 0 | 9279 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
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Compiled 7 945 to 1 337 computations (83.2% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 388 | 5 | 393 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 388 | 6 | 394 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) |
| ✓ | 99.6% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ▶ | 99.6% | (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
| ▶ | 99.3% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
| ▶ | 99.0% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ▶ | 97.6% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
Compiled 85 to 68 computations (20% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (expm1.f64 (neg.f64 (log.f64 x))) | |
| cost-diff | 0 | (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) | |
| cost-diff | 25920 | (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (log.f64 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 (log.f64 x)) | |
| cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) | |
| cost-diff | 0 | (log.f64 x) | |
| cost-diff | 0 | (+.f64 (log.f64 x) x) | |
| cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) | |
| cost-diff | 0 | (log.f64 x) | |
| cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) | |
| cost-diff | 0 | (neg.f64 (log.f64 x)) | |
| cost-diff | 0 | (expm1.f64 (neg.f64 (log.f64 x))) | |
| cost-diff | 0 | (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) | |
| cost-diff | 0 | (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
| 3 796× | lower-/.f32 |
| 3 792× | lower-/.f64 |
| 3 250× | lower-neg.f32 |
| 3 244× | lower-neg.f64 |
| 2 498× | lower-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 148 |
| 0 | 38 | 138 |
| 1 | 64 | 135 |
| 2 | 106 | 128 |
| 3 | 215 | 128 |
| 4 | 345 | 128 |
| 5 | 727 | 128 |
| 6 | 2062 | 128 |
| 7 | 3669 | 128 |
| 0 | 8434 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(log.f64 x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
(log.f64 x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
(+.f64 (log.f64 x) x) |
(log.f64 x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(log.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(log.f64 x) |
x |
(neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(log.f64 x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
(log.f64 x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
(+.f64 (log.f64 x) x) |
(log.f64 x) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(log.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
#s(literal 1 binary64) |
(/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(log.f64 x) |
x |
(neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.27734375 | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) | |
| accuracy | 0.33822250976844204 | (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) | |
| accuracy | 0.5459175293053261 | (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) | |
| accuracy | 5.6022509803682485 | (expm1.f64 (neg.f64 (log.f64 x))) | |
| accuracy | 0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0 | (log.f64 x) | |
| accuracy | 0.037441259768442016 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) | |
| accuracy | 0.40036277556912236 | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) | |
| accuracy | 0 | (log.f64 x) | |
| accuracy | 0.02734375 | (+.f64 (log.f64 x) x) | |
| accuracy | 0.6394637215980956 | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) | |
| accuracy | 0 | (log.f64 x) | |
| accuracy | 1.5593768477267542 | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) | |
| accuracy | 0 | (neg.f64 (log.f64 x)) | |
| accuracy | 0 | (log.f64 x) | |
| accuracy | 0.24994810020585062 | (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) | |
| accuracy | 5.6022509803682485 | (expm1.f64 (neg.f64 (log.f64 x))) |
| 76.0ms | 256× | 0 | valid |
Compiled 158 to 24 computations (84.8% saved)
ival-div: 22.0ms (45.4% of total)ival-log: 9.0ms (18.6% of total)ival-neg: 4.0ms (8.3% of total)ival-add: 3.0ms (6.2% of total)ival-mult: 3.0ms (6.2% of total)ival-expm1: 3.0ms (6.2% of total)ival-pow2: 2.0ms (4.1% of total)ival-sub: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ()) |
#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ()) |
#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ()) |
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<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 (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ())) ()) |
#s(alt (log (- (exp (neg (log x))) 1)) (taylor 0 x) (#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (log (- (exp (neg (log x))) 1)) (taylor 0 x) (#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (log (- (exp (neg (log x))) 1)) (taylor 0 x) (#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (log (- (exp (neg (log x))) 1)) (taylor 0 x) (#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg (log x))) 1) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg (log x))) 1) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg (log x))) 1) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg (log x))) 1) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (log x) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (log x) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<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 (* 1/2 x)) (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 (* 1/2 x)) (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 (* 1/2 x)) (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 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) (taylor -inf x) (#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) (taylor -inf x) (#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf 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 (+ 1/2 (/ 1 x))) (taylor -inf 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 (+ 1/2 (/ 1 x))) (taylor -inf 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 (+ 1/2 (/ 1 x))) (taylor -inf 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 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) (taylor -inf x) (#s(alt (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) (taylor -inf x) (#s(alt (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) (taylor -inf x) (#s(alt (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) (taylor -inf x) (#s(alt (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 86.0ms | x | @ | -inf | ((neg (log (- (exp (neg (log x))) 1))) (log (- (exp (neg (log x))) 1)) (- (exp (neg (log x))) 1) (neg (log x)) (neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (/ (log (- (exp (neg (log x))) 1)) (neg (pow (log (- (exp (neg (log x))) 1)) 2))) (/ 1 (/ (log (- (exp (neg (log x))) 1)) (neg (pow (log (- (exp (neg (log x))) 1)) 2)))) (pow (log (- (exp (neg (log x))) 1)) 2)) |
| 82.0ms | x | @ | 0 | ((neg (log (- (exp (neg (log x))) 1))) (log (- (exp (neg (log x))) 1)) (- (exp (neg (log x))) 1) (neg (log x)) (neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (/ (log (- (exp (neg (log x))) 1)) (neg (pow (log (- (exp (neg (log x))) 1)) 2))) (/ 1 (/ (log (- (exp (neg (log x))) 1)) (neg (pow (log (- (exp (neg (log x))) 1)) 2)))) (pow (log (- (exp (neg (log x))) 1)) 2)) |
| 26.0ms | x | @ | inf | ((neg (log (- (exp (neg (log x))) 1))) (log (- (exp (neg (log x))) 1)) (- (exp (neg (log x))) 1) (neg (log x)) (neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (/ (log (- (exp (neg (log x))) 1)) (neg (pow (log (- (exp (neg (log x))) 1)) 2))) (/ 1 (/ (log (- (exp (neg (log x))) 1)) (neg (pow (log (- (exp (neg (log x))) 1)) 2)))) (pow (log (- (exp (neg (log x))) 1)) 2)) |
| 1× | egg-herbie |
| 13 130× | lower-fma.f64 |
| 13 130× | lower-fma.f32 |
| 2 380× | lower-*.f64 |
| 2 380× | lower-*.f32 |
| 2 000× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 1153 |
| 1 | 266 | 1052 |
| 2 | 604 | 1049 |
| 3 | 2207 | 1046 |
| 4 | 6051 | 1046 |
| 0 | 8239 | 933 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (log (- (exp (neg (log x))) 1))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(log (- (exp (neg (log x))) 1)) |
(log (- (exp (neg (log x))) 1)) |
(log (- (exp (neg (log x))) 1)) |
(log (- (exp (neg (log x))) 1)) |
(- (exp (neg (log x))) 1) |
(- (exp (neg (log x))) 1) |
(- (exp (neg (log x))) 1) |
(- (exp (neg (log x))) 1) |
(* -1 (log x)) |
(* -1 (log x)) |
(* -1 (log x)) |
(* -1 (log x)) |
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(log x) |
(log x) |
(log x) |
(log x) |
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(log x) |
(+ x (log x)) |
(+ x (log x)) |
(+ x (log x)) |
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(pow (log (- (exp (neg (log x))) 1)) 2) |
(pow (log (- (exp (neg (log x))) 1)) 2) |
(pow (log (- (exp (neg (log x))) 1)) 2) |
(pow (log (- (exp (neg (log x))) 1)) 2) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(log (/ 1 x)) |
(log (/ 1 x)) |
(log (/ 1 x)) |
(log (/ 1 x)) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
x |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2) |
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2) |
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2) |
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
x |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) |
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) |
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) |
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) |
| Outputs |
|---|
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(log (- (exp (neg (log x))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (log x))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (log x))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (log x))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(- (exp (neg (log x))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (log x))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (log x))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (log x))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 (log.f64 x) x) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 (log.f64 x) x) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 (log.f64 x) x) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(pow (log (- (exp (neg (log x))) 1)) 2) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
(pow (log (- (exp (neg (log x))) 1)) 2) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
(pow (log (- (exp (neg (log x))) 1)) 2) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
(pow (log (- (exp (neg (log x))) 1)) 2) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(log (/ 1 x)) |
(neg.f64 (log.f64 x)) |
(log (/ 1 x)) |
(neg.f64 (log.f64 x)) |
(log (/ 1 x)) |
(neg.f64 (log.f64 x)) |
(log (/ 1 x)) |
(neg.f64 (log.f64 x)) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64)))) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64)))) |
x |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(+.f64 (log.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(+.f64 (log.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(+.f64 (log.f64 x) x) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64)))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(neg.f64 (log.f64 x)) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(neg.f64 (log.f64 x)) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(neg.f64 (log.f64 x)) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(neg.f64 (log.f64 x)) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(log.f64 x) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(+.f64 (log.f64 x) x) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(+.f64 (log.f64 x) x) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(+.f64 (log.f64 x) x) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
| 6 056× | lower-fma.f32 |
| 6 052× | lower-fma.f64 |
| 5 048× | lower-*.f64 |
| 5 048× | lower-*.f32 |
| 4 132× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 111 |
| 0 | 38 | 101 |
| 1 | 148 | 98 |
| 2 | 952 | 91 |
| 0 | 8484 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
(log.f64 x) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
(+.f64 (log.f64 x) x) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) |
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 27 975 to 3 285 computations (88.3% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 344 | 4 | 1 348 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 345 | 9 | 1 354 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 0.4% | (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) |
| ✓ | 99.6% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 99.6% | (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
| ✓ | 99.3% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
| ▶ | 99.3% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) |
| ✓ | 99.0% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ✓ | 97.6% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| ▶ | 2.3% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
| ▶ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
Compiled 67 to 58 computations (13.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) | |
| cost-diff | 0 | (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) | |
| cost-diff | 12800 | (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (+.f64 (log.f64 x) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) | |
| cost-diff | 128 | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
| 728× | lower-fma.f32 |
| 724× | lower-fma.f64 |
| 360× | lower-*.f32 |
| 352× | lower-*.f64 |
| 204× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 199 |
| 0 | 48 | 199 |
| 1 | 78 | 195 |
| 2 | 117 | 186 |
| 3 | 141 | 186 |
| 4 | 195 | 186 |
| 5 | 226 | 186 |
| 6 | 272 | 186 |
| 7 | 385 | 186 |
| 8 | 515 | 186 |
| 9 | 798 | 186 |
| 10 | 1201 | 186 |
| 11 | 1297 | 186 |
| 12 | 1339 | 186 |
| 13 | 1390 | 186 |
| 14 | 1393 | 186 |
| 0 | 1393 | 180 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(+.f64 (log.f64 x) x) |
(log.f64 x) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(log.f64 x) |
x |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(+.f64 (log.f64 x) x) |
(log.f64 x) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)) |
(log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(log.f64 x) |
x |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 x) | |
| accuracy | 0 | (expm1.f64 (neg.f64 (log.f64 x))) | |
| accuracy | 0 | (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) | |
| accuracy | 0.00390625 | (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (log.f64 x) | |
| accuracy | 0.0078125 | (+.f64 (log.f64 x) x) | |
| accuracy | 0.19982361057042697 | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) | |
| accuracy | 0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) | |
| accuracy | 0.19982361057042697 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) | |
| accuracy | 0.20522731525439775 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) | |
| accuracy | 0 | (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.19982361057042697 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) | |
| accuracy | 0.2008068606399918 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
| 62.0ms | 255× | 0 | invalid |
| 0.0ms | 1× | 0 | valid |
Compiled 164 to 27 computations (83.5% saved)
ival-log: 14.0ms (34.7% of total)ival-mult: 9.0ms (22.3% of total)ival-add: 6.0ms (14.9% of total)ival-div: 3.0ms (7.4% of total)ival-expm1: 3.0ms (7.4% of total)ival-neg: 3.0ms (7.4% of total)ival-exp: 2.0ms (5% of total)ival-sub: 1.0ms (2.5% 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 #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<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 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ()) |
#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) (patch (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ()) |
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ()) |
#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ()) |
#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 64.0ms | x | @ | 0 | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (exp (* (log (neg (log (- (exp (neg (log x))) 1)))) -1)) (/ 1 (exp (* (log (neg (log (- (exp (neg (log x))) 1)))) -1))) (log (neg (log (- (exp (neg (log x))) 1)))) (neg (log (- (exp (neg (log x))) 1))) (log x) (log (- (exp (neg (log x))) 1)) (- (exp (neg (log x))) 1)) |
| 39.0ms | x | @ | inf | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (exp (* (log (neg (log (- (exp (neg (log x))) 1)))) -1)) (/ 1 (exp (* (log (neg (log (- (exp (neg (log x))) 1)))) -1))) (log (neg (log (- (exp (neg (log x))) 1)))) (neg (log (- (exp (neg (log x))) 1))) (log x) (log (- (exp (neg (log x))) 1)) (- (exp (neg (log x))) 1)) |
| 36.0ms | x | @ | -inf | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (exp (* (log (neg (log (- (exp (neg (log x))) 1)))) -1)) (/ 1 (exp (* (log (neg (log (- (exp (neg (log x))) 1)))) -1))) (log (neg (log (- (exp (neg (log x))) 1)))) (neg (log (- (exp (neg (log x))) 1))) (log x) (log (- (exp (neg (log x))) 1)) (- (exp (neg (log x))) 1)) |
| 1× | egg-herbie |
| 13 112× | lower-fma.f64 |
| 13 112× | lower-fma.f32 |
| 2 360× | lower-*.f64 |
| 2 360× | lower-*.f32 |
| 1 996× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 1477 |
| 1 | 260 | 1366 |
| 2 | 597 | 1363 |
| 3 | 2177 | 1360 |
| 4 | 5991 | 1360 |
| 0 | 8157 | 1210 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* 1/2 x))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(log x) |
(+ x (log x)) |
(+ x (log x)) |
(+ x (log x)) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(log (neg (log (- (exp (neg (log x))) 1)))) |
(log (neg (log (- (exp (neg (log x))) 1)))) |
(log (neg (log (- (exp (neg (log x))) 1)))) |
(log (neg (log (- (exp (neg (log x))) 1)))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(log x) |
(log x) |
(log x) |
(log x) |
(log (- (exp (neg (log x))) 1)) |
(log (- (exp (neg (log x))) 1)) |
(log (- (exp (neg (log x))) 1)) |
(log (- (exp (neg (log x))) 1)) |
(- (exp (neg (log x))) 1) |
(- (exp (neg (log x))) 1) |
(- (exp (neg (log x))) 1) |
(- (exp (neg (log x))) 1) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
x |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))) |
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))) |
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))) |
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
x |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))) |
(log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))) |
(log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))) |
(log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
| Outputs |
|---|
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 (log.f64 x) x) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 (log.f64 x) x) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (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 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 (log.f64 x) x) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (log x))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(log (neg (log (- (exp (neg (log x))) 1)))) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(log (neg (log (- (exp (neg (log x))) 1)))) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(log (neg (log (- (exp (neg (log x))) 1)))) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(log (neg (log (- (exp (neg (log x))) 1)))) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (log x))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log (- (exp (neg (log x))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (log x))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (log x))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (log x))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(- (exp (neg (log x))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (log x))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (log x))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (log x))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64)))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64)))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64)))) |
x |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(+.f64 (log.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(+.f64 (log.f64 x) x) |
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) |
(+.f64 (log.f64 x) x) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (* -1 (log (/ 1 x))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(+.f64 (log.f64 x) x) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(+.f64 (log.f64 x) x) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(+.f64 (log.f64 x) x) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(log.f64 x) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) |
(expm1.f64 (neg.f64 (log.f64 x))) |
| 10 366× | lower-fma.f32 |
| 10 362× | lower-fma.f64 |
| 5 350× | lower-*.f32 |
| 5 342× | lower-*.f64 |
| 3 692× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 172 |
| 0 | 48 | 172 |
| 1 | 163 | 165 |
| 2 | 1087 | 160 |
| 0 | 8753 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) |
(+.f64 (log.f64 x) x) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) |
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(log.f64 x) |
(log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) |
(expm1.f64 (neg.f64 (log.f64 x))) |
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Compiled 14 105 to 2 486 computations (82.4% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 774 | 3 | 777 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 5 | 5 |
| Total | 776 | 10 | 786 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 0.4% | (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) |
| ✓ | 99.6% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 99.6% | (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
| ✓ | 99.3% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
| ✓ | 99.3% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) |
| ✓ | 99.0% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ✓ | 97.6% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| ✓ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
| ▶ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
| ▶ | 2.3% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
Compiled 73 to 62 computations (15.1% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) | |
| cost-diff | 0 | (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) | |
| cost-diff | 12800 | (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) | |
| cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) | |
| cost-diff | 0 | #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
| 704× | lower-fma.f64 |
| 704× | lower-fma.f32 |
| 352× | lower-*.f32 |
| 344× | lower-*.f64 |
| 200× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 182 |
| 0 | 40 | 182 |
| 1 | 64 | 181 |
| 2 | 93 | 172 |
| 3 | 130 | 172 |
| 4 | 199 | 172 |
| 5 | 231 | 172 |
| 6 | 257 | 172 |
| 7 | 274 | 172 |
| 8 | 321 | 172 |
| 9 | 411 | 172 |
| 10 | 480 | 172 |
| 11 | 594 | 172 |
| 12 | 724 | 172 |
| 13 | 813 | 172 |
| 14 | 879 | 172 |
| 15 | 916 | 172 |
| 16 | 926 | 172 |
| 17 | 930 | 172 |
| 18 | 933 | 172 |
| 19 | 935 | 172 |
| 0 | 935 | 160 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) |
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)) |
(log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
x |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) |
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) |
(neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)) |
(log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) | |
| accuracy | 0 | (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) | |
| accuracy | 0 | (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) | |
| accuracy | 0.00390625 | (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0.19982361057042697 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) | |
| accuracy | 0.2008068606399918 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) | |
| accuracy | 0.19636959674721394 | #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) | |
| accuracy | 0.19982361057042697 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) | |
| accuracy | 0.20522731525439775 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) |
| 42.0ms | 255× | 0 | invalid |
| 0.0ms | 1× | 0 | valid |
Compiled 126 to 24 computations (81% saved)
ival-log: 10.0ms (32.8% of total)ival-mult: 6.0ms (19.7% of total)ival-div: 5.0ms (16.4% of total)ival-exp: 2.0ms (6.6% of total)ival-add: 2.0ms (6.6% of total)ival-sub: 2.0ms (6.6% of total)ival-neg: 2.0ms (6.6% 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 #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) (patch (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) (patch (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (patch (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (log x)) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (pow (log x) 2))) (/ 1 (log x))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (* x (- (/ 1 (pow (log x) 3)) (* 1/2 (/ 1 (pow (log x) 2))))) (/ 1 (pow (log x) 2)))) (/ 1 (log x))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (* x (- (+ (* x (- (/ 1 (pow (log x) 3)) (+ (* 1/3 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 4))))) (/ 1 (pow (log x) 3))) (* 1/2 (/ 1 (pow (log x) 2))))) (/ 1 (pow (log x) 2)))) (/ 1 (log x))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (log (neg (* -1 (log x)))) (taylor 0 x) (#s(alt (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) (patch (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (neg (* -1 (log x)))) (/ x (log x))) (taylor 0 x) (#s(alt (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) (patch (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (neg (* -1 (log x)))) (* x (+ (* 1/2 (* x (- (/ 1 (log x)) (/ 1 (pow (log x) 2))))) (/ 1 (log x))))) (taylor 0 x) (#s(alt (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) (patch (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (neg (* -1 (log x)))) (* x (+ (* x (+ (* 1/6 (* x (- (+ (* 2 (/ 1 (log x))) (* 2 (/ 1 (pow (log x) 3)))) (* 3 (/ 1 (pow (log x) 2)))))) (* 1/2 (- (/ 1 (log x)) (/ 1 (pow (log x) 2)))))) (/ 1 (log x))))) (taylor 0 x) (#s(alt (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) (patch (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* 1/2 x) x) (* 1/2 x) (exp (* (log (neg (log (- -1 (/ -1 x))))) -1)) (/ 1 (exp (* (log (neg (log (- -1 (/ -1 x))))) -1))) (log (neg (log (- -1 (/ -1 x))))) (neg (log (- -1 (/ -1 x)))) (log (- -1 (/ -1 x)))) |
| 2.0ms | x | @ | inf | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* 1/2 x) x) (* 1/2 x) (exp (* (log (neg (log (- -1 (/ -1 x))))) -1)) (/ 1 (exp (* (log (neg (log (- -1 (/ -1 x))))) -1))) (log (neg (log (- -1 (/ -1 x))))) (neg (log (- -1 (/ -1 x)))) (log (- -1 (/ -1 x)))) |
| 2.0ms | x | @ | -inf | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* 1/2 x) x) (* 1/2 x) (exp (* (log (neg (log (- -1 (/ -1 x))))) -1)) (/ 1 (exp (* (log (neg (log (- -1 (/ -1 x))))) -1))) (log (neg (log (- -1 (/ -1 x))))) (neg (log (- -1 (/ -1 x)))) (log (- -1 (/ -1 x)))) |
| 1× | egg-herbie |
| 8 702× | lower-fma.f64 |
| 8 702× | lower-fma.f32 |
| 4 546× | lower-*.f64 |
| 4 546× | lower-*.f32 |
| 2 986× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 1643 |
| 1 | 662 | 1569 |
| 2 | 1699 | 1544 |
| 3 | 6718 | 1534 |
| 0 | 8128 | 1465 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* 1/2 x))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(/ 1 (log x)) |
(+ (* -1 (/ x (pow (log x) 2))) (/ 1 (log x))) |
(+ (* x (- (* x (- (/ 1 (pow (log x) 3)) (* 1/2 (/ 1 (pow (log x) 2))))) (/ 1 (pow (log x) 2)))) (/ 1 (log x))) |
(+ (* x (- (* x (- (+ (* x (- (/ 1 (pow (log x) 3)) (+ (* 1/3 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 4))))) (/ 1 (pow (log x) 3))) (* 1/2 (/ 1 (pow (log x) 2))))) (/ 1 (pow (log x) 2)))) (/ 1 (log x))) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
(log (neg (* -1 (log x)))) |
(+ (log (neg (* -1 (log x)))) (/ x (log x))) |
(+ (log (neg (* -1 (log x)))) (* x (+ (* 1/2 (* x (- (/ 1 (log x)) (/ 1 (pow (log x) 2))))) (/ 1 (log x))))) |
(+ (log (neg (* -1 (log x)))) (* x (+ (* x (+ (* 1/6 (* x (- (+ (* 2 (/ 1 (log x))) (* 2 (/ 1 (pow (log x) 3)))) (* 3 (/ 1 (pow (log x) 2)))))) (* 1/2 (- (/ 1 (log x)) (/ 1 (pow (log x) 2)))))) (/ 1 (log x))))) |
(log x) |
(- x (* -1 (log x))) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(* -1 (log x)) |
(+ (* -1 x) (* -1 (log x))) |
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) |
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(/ -1 (log -1)) |
(* -1 (+ (/ 1 (log -1)) (/ 1 (* x (pow (log -1) 2))))) |
(- (* -1 (/ (+ (* 1/2 (/ 1 (pow (log -1) 2))) (/ 1 (pow (log -1) 3))) (pow x 2))) (+ (/ 1 (log -1)) (/ 1 (* x (pow (log -1) 2))))) |
(- (* -1 (/ (+ (* 1/3 (/ 1 (pow (log -1) 2))) (+ (/ 1 (pow (log -1) 3)) (/ 1 (pow (log -1) 4)))) (pow x 3))) (+ (/ 1 (log -1)) (+ (/ 1 (* x (pow (log -1) 2))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow (log -1) 2)))) (/ 1 (* (pow x 2) (pow (log -1) 3))))))) |
(* -1 (log -1)) |
(+ (* -1 (log -1)) (/ 1 x)) |
(+ (* -1 (log -1)) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+ (* -1 (log -1)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) |
(log (neg (log -1))) |
(- (log (neg (log -1))) (/ 1 (* x (log -1)))) |
(- (+ (log (neg (log -1))) (* -1/2 (/ (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2))) (pow x 2)))) (/ 1 (* x (log -1)))) |
(- (+ (log (neg (log -1))) (+ (* -1/2 (/ (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2))) (pow x 2))) (* -1/6 (/ (+ (* 2 (/ 1 (log -1))) (+ (* 3 (/ 1 (pow (log -1) 2))) (* 2 (/ 1 (pow (log -1) 3))))) (pow x 3))))) (/ 1 (* x (log -1)))) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(log -1) |
(- (log -1) (/ 1 x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(/ -1 (log -1)) |
(* -1 (+ (/ 1 (log -1)) (/ 1 (* x (pow (log -1) 2))))) |
(- (* -1 (/ (+ (/ 1/2 (* x (pow (log -1) 2))) (+ (/ 1 (* x (pow (log -1) 3))) (/ 1 (pow (log -1) 2)))) x)) (/ 1 (log -1))) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/3 (/ 1 (pow (log -1) 2))) (* 1/2 (/ 1 (pow (log -1) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log -1) 2))) (/ 1 (pow (log -1) 3))) (log -1)))) x)) (+ (* 1/2 (/ 1 (pow (log -1) 2))) (/ 1 (pow (log -1) 3)))) x)) (/ 1 (pow (log -1) 2))) x)) (/ 1 (log -1))) |
(* -1 (log -1)) |
(+ (* -1 (log -1)) (/ 1 x)) |
(+ (* -1 (log -1)) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+ (* -1 (log -1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) |
(log (neg (log -1))) |
(- (log (neg (log -1))) (/ 1 (* x (log -1)))) |
(+ (log (neg (log -1))) (* -1 (/ (+ (* 1/2 (/ (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2))) x)) (/ 1 (log -1))) x))) |
(+ (log (neg (log -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2)))) (* -1/6 (/ (+ (* 2 (/ 1 (log -1))) (+ (* 3 (/ 1 (pow (log -1) 2))) (* 2 (/ 1 (pow (log -1) 3))))) x))) x)) (/ 1 (log -1))) x))) |
(* -1 (log -1)) |
(- (/ 1 x) (log -1)) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(log -1) |
(- (log -1) (/ 1 x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
| Outputs |
|---|
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 (log.f64 x) x) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (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 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 (log.f64 x) x) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(/ 1 (log x)) |
(/.f64 #s(literal 1 binary64) (log.f64 x)) |
(+ (* -1 (/ x (pow (log x) 2))) (/ 1 (log x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (/.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(+ (* x (- (* x (- (/ 1 (pow (log x) 3)) (* 1/2 (/ 1 (pow (log x) 2))))) (/ 1 (pow (log x) 2)))) (/ 1 (log x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (log.f64 x))) |
(+ (* x (- (* x (- (+ (* x (- (/ 1 (pow (log x) 3)) (+ (* 1/3 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 4))))) (/ 1 (pow (log x) 3))) (* 1/2 (/ 1 (pow (log x) 2))))) (/ 1 (pow (log x) 2)))) (/ 1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) x (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (log.f64 x))) |
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(log (neg (* -1 (log x)))) |
(log.f64 (log.f64 x)) |
(+ (log (neg (* -1 (log x)))) (/ x (log x))) |
(+.f64 (/.f64 x (log.f64 x)) (log.f64 (log.f64 x))) |
(+ (log (neg (* -1 (log x)))) (* x (+ (* 1/2 (* x (- (/ 1 (log x)) (/ 1 (pow (log x) 2))))) (/ 1 (log x))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (log.f64 x))) x (log.f64 (log.f64 x))) |
(+ (log (neg (* -1 (log x)))) (* x (+ (* x (+ (* 1/6 (* x (- (+ (* 2 (/ 1 (log x))) (* 2 (/ 1 (pow (log x) 3)))) (* 3 (/ 1 (pow (log x) 2)))))) (* 1/2 (- (/ 1 (log x)) (/ 1 (pow (log x) 2)))))) (/ 1 (log x))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (log.f64 x))) (/.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (log.f64 x))) x (log.f64 (log.f64 x))) |
(log x) |
(log.f64 x) |
(- x (* -1 (log x))) |
(+.f64 (log.f64 x) x) |
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(+ (* -1 x) (* -1 (log x))) |
(neg.f64 (+.f64 (log.f64 x) x)) |
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x (neg.f64 (log.f64 x))) |
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x (neg.f64 (log.f64 x))) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 (log.f64 x) x) #s(literal 1 binary64))) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 (log.f64 x) x) #s(literal 1 binary64))) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 (log.f64 x) x) #s(literal 1 binary64))) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 (log.f64 x) x) #s(literal 1 binary64))) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(/ -1 (log -1)) |
(/.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (/ 1 (log -1)) (/ 1 (* x (pow (log -1) 2))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) |
(- (* -1 (/ (+ (* 1/2 (/ 1 (pow (log -1) 2))) (/ 1 (pow (log -1) 3))) (pow x 2))) (+ (/ 1 (log -1)) (/ 1 (* x (pow (log -1) 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x))) |
(- (* -1 (/ (+ (* 1/3 (/ 1 (pow (log -1) 2))) (+ (/ 1 (pow (log -1) 3)) (/ 1 (pow (log -1) 4)))) (pow x 3))) (+ (/ 1 (log -1)) (+ (/ 1 (* x (pow (log -1) 2))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow (log -1) 2)))) (/ 1 (* (pow x 2) (pow (log -1) 3))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) x)))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(+ (* -1 (log -1)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(+ (* -1 (log -1)) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+ (* -1 (log -1)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64))) |
(log (neg (log -1))) |
(log.f64 (neg.f64 (log.f64 #s(literal -1 binary64)))) |
(- (log (neg (log -1))) (/ 1 (* x (log -1)))) |
(-.f64 (log.f64 (neg.f64 (log.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) x)) |
(- (+ (log (neg (log -1))) (* -1/2 (/ (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2))) (pow x 2)))) (/ 1 (* x (log -1)))) |
(-.f64 (log.f64 (neg.f64 (log.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) x)) |
(- (+ (log (neg (log -1))) (+ (* -1/2 (/ (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2))) (pow x 2))) (* -1/6 (/ (+ (* 2 (/ 1 (log -1))) (+ (* 3 (/ 1 (pow (log -1) 2))) (* 2 (/ 1 (pow (log -1) 3))))) (pow x 3))))) (/ 1 (* x (log -1)))) |
(fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64) (-.f64 (log.f64 (neg.f64 (log.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) x))) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(- (log -1) (/ 1 x)) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) |
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x) (log.f64 #s(literal -1 binary64))) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (log.f64 #s(literal -1 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) #s(literal 1 binary64) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) #s(literal 1 binary64) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (log.f64 #s(literal -1 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) #s(literal 1 binary64) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) #s(literal 1 binary64) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(/ -1 (log -1)) |
(/.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (/ 1 (log -1)) (/ 1 (* x (pow (log -1) 2))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) |
(- (* -1 (/ (+ (/ 1/2 (* x (pow (log -1) 2))) (+ (/ 1 (* x (pow (log -1) 3))) (/ 1 (pow (log -1) 2)))) x)) (/ 1 (log -1))) |
(-.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x)) x)) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/3 (/ 1 (pow (log -1) 2))) (* 1/2 (/ 1 (pow (log -1) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log -1) 2))) (/ 1 (pow (log -1) 3))) (log -1)))) x)) (+ (* 1/2 (/ 1 (pow (log -1) 2))) (/ 1 (pow (log -1) 3)))) x)) (/ 1 (pow (log -1) 2))) x)) (/ 1 (log -1))) |
(-.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) x)) x)) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(+ (* -1 (log -1)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(+ (* -1 (log -1)) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+ (* -1 (log -1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (log.f64 #s(literal -1 binary64))) |
(log (neg (log -1))) |
(log.f64 (neg.f64 (log.f64 #s(literal -1 binary64)))) |
(- (log (neg (log -1))) (/ 1 (* x (log -1)))) |
(-.f64 (log.f64 (neg.f64 (log.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) x)) |
(+ (log (neg (log -1))) (* -1 (/ (+ (* 1/2 (/ (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2))) x)) (/ 1 (log -1))) x))) |
(-.f64 (log.f64 (neg.f64 (log.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) x)) |
(+ (log (neg (log -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2)))) (* -1/6 (/ (+ (* 2 (/ 1 (log -1))) (+ (* 3 (/ 1 (pow (log -1) 2))) (* 2 (/ 1 (pow (log -1) 3))))) x))) x)) (/ 1 (log -1))) x))) |
(-.f64 (log.f64 (neg.f64 (log.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)))) x) #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) x)) |
(* -1 (log -1)) |
(neg.f64 (log.f64 #s(literal -1 binary64))) |
(- (/ 1 x) (log -1)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) |
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (log.f64 #s(literal -1 binary64))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(- (log -1) (/ 1 x)) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) |
| 6 556× | lower-fma.f64 |
| 6 556× | lower-fma.f32 |
| 3 406× | lower-*.f32 |
| 3 398× | lower-*.f64 |
| 2 594× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 157 |
| 0 | 40 | 157 |
| 1 | 132 | 153 |
| 2 | 793 | 148 |
| 0 | 8482 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) |
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) |
(log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) |
| Outputs |
|---|
#<batchref> |
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Compiled 5 887 to 1 261 computations (78.6% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 388 | 0 | 388 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 7 | 7 |
| Total | 388 | 10 | 398 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 0.4% | (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) |
| ✓ | 99.6% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 99.6% | (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
| ✓ | 99.3% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
| ✓ | 99.3% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) |
| ✓ | 99.0% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ✓ | 97.6% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| ✓ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
| ✓ | 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
| ✓ | 2.3% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
Compiled 182 to 115 computations (36.8% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) |
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) |
| Outputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
5 calls:
| 5.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 4.0ms | (/.f64 #s(literal 1 binary64) x) |
| 4.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 4.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 99.6% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 99.6% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 99.6% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 22 to 19 computations (13.6% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) |
5 calls:
| 24.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 3.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 3.0ms | x |
| 3.0ms | (/.f64 #s(literal 1 binary64) x) |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 99.3% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 99.3% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 99.3% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 22 to 19 computations (13.6% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
5 calls:
| 3.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 3.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 3.0ms | (/.f64 #s(literal 1 binary64) x) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 99.3% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 99.3% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 99.3% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 22 to 19 computations (13.6% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
5 calls:
| 18.0ms | (/.f64 #s(literal 1 binary64) x) |
| 3.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 3.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 99.0% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 99.0% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 99.0% | 1 | x |
| 99.0% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
Compiled 22 to 19 computations (13.6% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
5 calls:
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 2.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 2.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 2.0ms | (/.f64 #s(literal 1 binary64) x) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | x |
| 97.6% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 97.6% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 97.6% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 97.6% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 22 to 19 computations (13.6% saved)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
5 calls:
| 48.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 2.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 2.0ms | (/.f64 #s(literal 1 binary64) x) |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.7% | 1 | x |
| 2.7% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 2.7% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 2.7% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 2.7% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 22 to 19 computations (13.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
5 calls:
| 1.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 1.0ms | (/.f64 #s(literal 1 binary64) x) |
| 1.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.3% | 1 | x |
| 2.3% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 2.3% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 2.3% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 2.3% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 22 to 19 computations (13.6% saved)
| 1× | egg-herbie |
| 12× | *-commutative-binary64-*.f64 |
| 10× | neg-mul-1-binary64-*.f64-neg.f64 |
| 8× | +-commutative-binary64-+.f64 |
| 8× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 6× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 114 |
| 1 | 46 | 114 |
| 2 | 51 | 114 |
| 3 | 57 | 114 |
| 4 | 64 | 114 |
| 5 | 73 | 114 |
| 1× | saturated |
| Inputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
| Outputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) |
| 13 130× | lower-fma.f64 |
| 13 130× | lower-fma.f32 |
| 13 112× | lower-fma.f64 |
| 13 112× | lower-fma.f32 |
| 10 366× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 1153 |
| 1 | 266 | 1052 |
| 2 | 604 | 1049 |
| 3 | 2207 | 1046 |
| 4 | 6051 | 1046 |
| 0 | 8239 | 933 |
| 0 | 96 | 1477 |
| 1 | 260 | 1366 |
| 2 | 597 | 1363 |
| 3 | 2177 | 1360 |
| 4 | 5991 | 1360 |
| 0 | 8157 | 1210 |
| 0 | 23 | 111 |
| 0 | 38 | 101 |
| 1 | 148 | 98 |
| 2 | 952 | 91 |
| 0 | 8484 | 91 |
| 0 | 75 | 313 |
| 1 | 190 | 292 |
| 2 | 397 | 290 |
| 3 | 968 | 280 |
| 4 | 1971 | 278 |
| 5 | 4221 | 278 |
| 6 | 5618 | 278 |
| 7 | 5789 | 278 |
| 8 | 5802 | 278 |
| 9 | 5802 | 278 |
| 10 | 5802 | 278 |
| 11 | 5977 | 278 |
| 12 | 6010 | 278 |
| 13 | 6010 | 278 |
| 0 | 6010 | 270 |
| 0 | 33 | 172 |
| 0 | 48 | 172 |
| 1 | 163 | 165 |
| 2 | 1087 | 160 |
| 0 | 8753 | 154 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 106 to 74 computations (30.2% saved)
Compiled 108 to 62 computations (42.6% saved)
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