
Time bar (total: 5.3s)
| 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)
| 459.0ms | 8 256× | 0 | valid |
| 1.0ms | 18× | 0 | invalid |
ival-log: 113.0ms (37.5% of total)ival-div: 71.0ms (23.5% of total)ival-neg: 62.0ms (20.6% of total)ival-sub: 43.0ms (14.3% of total)ival-true: 6.0ms (2% of total)exact: 4.0ms (1.3% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 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 | - | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 28.0ms | 512× | 0 | valid |
Compiled 58 to 22 computations (62.1% saved)
ival-log: 7.0ms (43.1% of total)ival-div: 4.0ms (24.7% of total)ival-sub: 2.0ms (12.3% of total)ival-neg: 2.0ms (12.3% 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 8 to 6 computations (25% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
Compiled 8 to 6 computations (25% 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 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 13.0ms | 256× | 0 | valid |
Compiled 25 to 8 computations (68% saved)
ival-log: 3.0ms (37.9% of total)ival-div: 2.0ms (25.3% of total)ival-sub: 1.0ms (12.6% of total)ival-neg: 1.0ms (12.6% 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 |
|---|
(*.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(*.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))))) |
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) (neg.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))))))) |
(/.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) |
(neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 0 binary64)) |
(fma.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) (log1p.f64 (/.f64 #s(literal -1 binary64) x))) |
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) (log.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))) (log.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (log.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (log.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) (log.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))) (log.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (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)))) |
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(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.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) (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.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) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 x))) |
Compiled 11 114 to 1 314 computations (88.2% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 389 | 4 | 393 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 389 | 5 | 394 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ▶ | 100.0% | (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
| ▶ | 99.2% | #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))) |
| ▶ | 98.8% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ▶ | 97.9% | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
Compiled 37 to 23 computations (37.8% saved)
| 1× | egg-herbie |
Found 13 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 | (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) | |
| cost-diff | 0 | (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 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)) |
| 68× | lower-fma.f32 |
| 64× | lower-fma.f64 |
| 46× | lower-*.f64 |
| 46× | lower-*.f32 |
| 44× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 90 |
| 0 | 29 | 90 |
| 1 | 42 | 90 |
| 2 | 54 | 90 |
| 3 | 75 | 90 |
| 4 | 100 | 90 |
| 5 | 104 | 90 |
| 6 | 109 | 90 |
| 0 | 109 | 90 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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) |
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(-.f64 (/.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))) (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) |
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
x |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0 | (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) | |
| accuracy | 0.1640625 | (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) | |
| accuracy | 0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0 | (log.f64 x) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) | |
| accuracy | 0.5171362232776459 | #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 | 0.015625 | (+.f64 (log.f64 x) x) | |
| accuracy | 0.7256239272370724 | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) | |
| accuracy | 0 | (log.f64 x) | |
| accuracy | 1.32630972072706 | #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
| 48.0ms | 256× | 0 | valid |
Compiled 78 to 20 computations (74.4% saved)
ival-sub: 12.0ms (31.6% of total)ival-div: 9.0ms (23.7% of total)ival-log: 9.0ms (23.7% of total)ival-add: 3.0ms (7.9% of total)ival-mult: 3.0ms (7.9% of total)ival-neg: 1.0ms (2.6% 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))) (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 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.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 #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 (log x) (taylor 0 x) (#s(alt (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.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 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.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 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.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 (/ (- x 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 (/ (- x 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 (/ (- x 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 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 #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 (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (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 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -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 (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (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 (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (taylor inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (taylor inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (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 (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (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>) () ())) ()) |
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#s(alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 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 (/ (log (/ 1 x)) (pow x 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 (* 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>) () ())) ()) |
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#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 (log -1) (taylor inf x) (#s(alt (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.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 (/ 1 x)) (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 (/ 1 x)) (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 (/ 1 x)) (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 #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 (log -1) (taylor -inf x) (#s(alt (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.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 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.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 (/ 1 x)) (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 (/ 1 x)) (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 (/ 1 x)) (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 | |
|---|---|---|---|---|
| 56.0ms | x | @ | 0 | ((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 (/ -1 (- (/ -1 x) -1))) (/ -1 (- (/ -1 x) -1)) (- (/ -1 x) -1) (/ -1 x)) |
| 21.0ms | x | @ | inf | ((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 (/ -1 (- (/ -1 x) -1))) (/ -1 (- (/ -1 x) -1)) (- (/ -1 x) -1) (/ -1 x)) |
| 18.0ms | x | @ | -inf | ((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 (/ -1 (- (/ -1 x) -1))) (/ -1 (- (/ -1 x) -1)) (- (/ -1 x) -1) (/ -1 x)) |
| 1× | egg-herbie |
| 11 930× | lower-fma.f64 |
| 11 930× | lower-fma.f32 |
| 3 486× | lower-*.f64 |
| 3 486× | lower-*.f32 |
| 1 814× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 919 |
| 1 | 299 | 874 |
| 2 | 704 | 856 |
| 3 | 2581 | 832 |
| 4 | 6872 | 830 |
| 0 | 8217 | 788 |
| 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) |
(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)) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- x 1) x) |
(/ (- x 1) 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)) |
(* -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))) |
(log -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)))))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
1 |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(- 1 (/ 1 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 (/ (- (* -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))) |
(log -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))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
1 |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(/ -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)) |
(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)) |
(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)) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 (fma.f64 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/ (- x 1) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/ (- x 1) x) |
(/.f64 (-.f64 x #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 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 #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)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (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 (/.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)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (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 (/.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)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) (-.f64 (/.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)))) |
(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)) |
(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) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(- 1 (/ 1 x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(- 1 (/ 1 x)) |
(/.f64 (-.f64 x #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 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 #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 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (*.f64 (neg.f64 x) x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 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 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (*.f64 (neg.f64 x) x)) (log.f64 #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(neg.f64 (-.f64 (neg.f64 x) (+.f64 (log.f64 (neg.f64 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 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (*.f64 (neg.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 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))) |
(* 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)) |
(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) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(- 1 (/ 1 x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(- 1 (/ 1 x)) |
(/.f64 (-.f64 x #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 x) |
(/.f64 #s(literal -1 binary64) x) |
| 6 936× | lower-fma.f32 |
| 6 932× | lower-fma.f64 |
| 4 054× | lower-*.f64 |
| 4 054× | lower-*.f32 |
| 3 090× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 79 |
| 0 | 29 | 79 |
| 1 | 120 | 78 |
| 2 | 854 | 78 |
| 0 | 8196 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) |
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (-.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 |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) |
(neg.f64 (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 x) #s(literal 0 binary64)) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(log.f64 x) |
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (log.f64 x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 x (log.f64 x)) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (log.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (log.f64 x)) x) (-.f64 (*.f64 (-.f64 x (log.f64 x)) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 (log.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 x (+.f64 (log.f64 x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 x x (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) x)) (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x))) (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (log.f64 x) x)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x))))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.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) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.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) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 (neg.f64 x) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64))) |
Compiled 14 484 to 1 489 computations (89.7% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 642 | 3 | 645 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 1 | 1 |
| Total | 643 | 7 | 650 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ▶ | 98.8% | (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) |
| ✓ | 99.2% | #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))) |
| ▶ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) |
| ✓ | 98.8% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ✓ | 97.9% | #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)))) |
Compiled 54 to 30 computations (44.4% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) | |
| cost-diff | 0 | (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) | |
| 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 | (*.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)))) |
| 82× | lower-fma.f32 |
| 78× | lower-fma.f64 |
| 58× | lower-*.f32 |
| 54× | lower-*.f64 |
| 52× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 117 |
| 0 | 34 | 117 |
| 1 | 56 | 117 |
| 2 | 78 | 115 |
| 3 | 81 | 115 |
| 4 | 109 | 115 |
| 5 | 113 | 115 |
| 6 | 118 | 115 |
| 0 | 118 | 111 |
| 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))) (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) |
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) |
#s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) |
(fma.f64 x x x) |
x |
| 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))) (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) |
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) |
#s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) |
(fma.f64 x x x) |
x |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 x x x) | |
| accuracy | 0 | (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) | |
| accuracy | 0.8150067930842623 | #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) | |
| accuracy | 0 | (log.f64 x) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) | |
| accuracy | 0.015625 | (+.f64 (log.f64 x) x) | |
| accuracy | 0.5171362232776459 | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 0.5171362232776459 | #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 | 62.294554025535724 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
| 169.0ms | 256× | 0 | valid |
Compiled 78 to 24 computations (69.2% saved)
ival-div: 52.0ms (66.7% of total)ival-log: 9.0ms (11.5% of total)ival-add: 7.0ms (9% of total)ival-mult: 6.0ms (7.7% of total)ival-sub: 2.0ms (2.6% of total)ival-neg: 1.0ms (1.3% 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 (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 (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) (patch (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) (patch #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ()) |
#s(alt (log.f64 x) (patch (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>) () ())) ()) |
#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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#s(alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) (taylor -inf 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 (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) (taylor -inf 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 -inf 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 -inf 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 -inf 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 -inf 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 (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#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 (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#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 (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) (taylor -inf x) (#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 (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) (taylor -inf x) (#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 (* -1 (log -1)) (taylor -inf x) (#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 (- (/ 1 x) (log -1)) (taylor -inf x) (#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 (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#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 (- (* -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 (*.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 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 (log -1) (taylor -inf x) (#s(alt (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) (patch (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (/ 1 x)) (taylor -inf x) (#s(alt (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) (patch (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) (patch (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) (patch (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) (patch #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) (patch #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) (patch #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) (patch #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x 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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | -inf | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (log (/ -1 (- (/ -1 x) -1))) (/ -1 (- (/ -1 x) -1)) (+ (* x x) x) (log x)) |
| 10.0ms | x | @ | inf | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (log (/ -1 (- (/ -1 x) -1))) (/ -1 (- (/ -1 x) -1)) (+ (* x x) x) (log x)) |
| 7.0ms | x | @ | 0 | ((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (log (/ -1 (- (/ -1 x) -1))) (/ -1 (- (/ -1 x) -1)) (+ (* x x) x) (log x)) |
| 1× | egg-herbie |
| 8 908× | lower-fma.f64 |
| 8 908× | lower-fma.f32 |
| 2 852× | lower-*.f64 |
| 2 852× | lower-*.f32 |
| 1 644× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 943 |
| 1 | 290 | 896 |
| 2 | 698 | 869 |
| 3 | 1979 | 837 |
| 4 | 4978 | 826 |
| 0 | 8220 | 771 |
| 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 (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)) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(log x) |
(log x) |
(log x) |
(log 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)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 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)))) |
(log -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)))))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* -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 (/ (- (* -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) |
(* 1/2 (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))) |
(log -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))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -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)) |
(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 (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) |
(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)) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f64 (fma.f64 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(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)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (-.f64 (/.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)))) |
(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) |
(* 1/2 (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 (/.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)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (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) |
(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) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(+ (log -1) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) |
(+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x 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) |
(* -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 (/.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 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))) |
(* (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 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 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)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (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 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))) |
(* (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 (+.f64 (log.f64 (neg.f64 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 (/.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 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x) |
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) |
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x) |
(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) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (/ 1 x))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
| 6 662× | lower-fma.f32 |
| 6 658× | lower-fma.f64 |
| 3 580× | lower-*.f32 |
| 3 576× | lower-*.f64 |
| 3 416× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 109 |
| 0 | 34 | 109 |
| 1 | 154 | 107 |
| 2 | 1171 | 107 |
| 0 | 8788 | 99 |
| 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) |
(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) |
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) |
#s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) |
(fma.f64 x x x) |
(log.f64 x) |
| 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 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (log.f64 x)) x))) |
(*.f64 (-.f64 (pow.f64 (+.f64 (log.f64 x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 x) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (log.f64 x)) x))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (pow.f64 (+.f64 (log.f64 x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (+.f64 (log.f64 x) x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (pow.f64 (+.f64 (log.f64 x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 (log.f64 x) x) (-.f64 (+.f64 (log.f64 x) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.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))) x (*.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (pow.f64 (+.f64 (log.f64 x) x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (+.f64 (log.f64 x) x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 (log.f64 x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.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))) x (*.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (pow.f64 (+.f64 (log.f64 x) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (log.f64 x) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (+.f64 (log.f64 x) x)))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (pow.f64 (+.f64 (log.f64 x) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 (log.f64 x) x) (-.f64 (+.f64 (log.f64 x) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #s(literal -1 binary64)) |
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)) (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) x) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)) (log.f64 x))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x))))) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (log.f64 x)) x) |
(+.f64 (+.f64 (log.f64 x) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(+.f64 (log.f64 x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (log.f64 x) x)) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x)) |
(+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (log.f64 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))) |
(*.f64 (fma.f64 x x (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (log.f64 x) x)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) x))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) x))))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)))) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)))))) |
(/.f64 (neg.f64 (fma.f64 x x (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (log.f64 x) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (*.f64 (-.f64 (log.f64 x) x) (*.f64 x x))) (pow.f64 (-.f64 (log.f64 x) x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 x x (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 x (log.f64 x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (log.f64 x) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (log.f64 x) x)) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (log.f64 x)) (fma.f64 x x (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) x))) (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x))) |
(neg.f64 (neg.f64 (+.f64 (log.f64 x) x))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (log.f64 x)) |
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (log.f64 x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (log.f64 x)) |
(fma.f64 x #s(literal 1 binary64) (log.f64 x)) |
(fma.f64 #s(literal 1 binary64) x (log.f64 x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x))) |
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)))) |
(+.f64 (log.f64 x) x) |
(+.f64 x (log.f64 x)) |
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) |
#s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) |
(*.f64 (/.f64 (fma.f64 x x x) x) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x))))) |
(*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) x)) |
(*.f64 (*.f64 (fma.f64 x x x) (-.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x x))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 x x) x))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x)))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 x (*.f64 x x)))) (neg.f64 (-.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) x x) (fma.f64 x x x))) (fma.f64 x x x)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (*.f64 x x))) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) |
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 x (*.f64 x x))) (-.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x x) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 x x) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x)))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 (*.f64 x x) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x)) (fma.f64 x x (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 x x) x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x)) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x x) (-.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(neg.f64 (fma.f64 (neg.f64 x) x x)) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) x) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x) |
(fma.f64 x x (neg.f64 x)) |
(fma.f64 x x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x))) |
(-.f64 (*.f64 x x) x) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)))) |
(+.f64 (*.f64 x x) (neg.f64 x)) |
(+.f64 (*.f64 x x) x) |
(+.f64 x (*.f64 x x)) |
(neg.f64 (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 x) #s(literal 0 binary64)) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(log.f64 x) |
Compiled 8 092 to 730 computations (91% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 388 | 1 | 389 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 4 | 4 |
| Total | 388 | 8 | 396 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 98.8% | (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) |
| ✓ | 99.2% | #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))) |
| ✓ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) |
| ✓ | 98.8% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ✓ | 97.9% | #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 #s(literal 1/2 binary64) x) (/.f64 #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 64 to 36 computations (43.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #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 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 1088 | (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| 644× | lower-fma.f64 |
| 644× | lower-fma.f32 |
| 292× | lower-*.f32 |
| 290× | lower-*.f64 |
| 176× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 60 |
| 0 | 20 | 60 |
| 1 | 35 | 54 |
| 2 | 57 | 54 |
| 3 | 84 | 54 |
| 4 | 111 | 54 |
| 5 | 124 | 54 |
| 6 | 134 | 54 |
| 7 | 140 | 54 |
| 8 | 160 | 54 |
| 9 | 244 | 54 |
| 10 | 440 | 54 |
| 11 | 616 | 54 |
| 12 | 694 | 54 |
| 13 | 730 | 54 |
| 14 | 749 | 54 |
| 15 | 762 | 54 |
| 16 | 765 | 54 |
| 0 | 765 | 50 |
| 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 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| 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) (/.f64 #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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) 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) x) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0.1484375 | (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.5171362232776459 | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 62.294554025535724 | #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
| 28.0ms | 256× | 0 | valid |
Compiled 35 to 15 computations (57.1% saved)
ival-log: 6.0ms (28.3% of total)ival-mult: 5.0ms (23.6% of total)ival-div: 4.0ms (18.8% of total)ival-add: 3.0ms (14.1% of total)ival-sub: 1.0ms (4.7% of total)ival-neg: 1.0ms (4.7% 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 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #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 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) 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) (/.f64 #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 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) 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) (/.f64 #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 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) 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) (/.f64 #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 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #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 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #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 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #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 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 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 (* 1/2 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 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log -1)) (taylor inf 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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) (log -1)) (taylor inf 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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) 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))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) (taylor inf 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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf 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 inf 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 inf 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 inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log -1)) (taylor -inf 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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) (log -1)) (taylor -inf 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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) 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))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) 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))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf 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 -inf 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 -inf 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 -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (* 1/2 x) (/ 1 x)) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* 1/2 x)) |
| 1.0ms | x | @ | 0 | ((/ (* 1/2 x) (/ 1 x)) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* 1/2 x)) |
| 1.0ms | x | @ | inf | ((/ (* 1/2 x) (/ 1 x)) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* 1/2 x)) |
| 1× | egg-herbie |
| 9 302× | lower-fma.f64 |
| 9 302× | lower-fma.f32 |
| 3 400× | lower-*.f64 |
| 3 400× | lower-*.f32 |
| 1 510× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 328 |
| 1 | 181 | 316 |
| 2 | 439 | 309 |
| 3 | 1197 | 304 |
| 4 | 4328 | 298 |
| 0 | 8230 | 279 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (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)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (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 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (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 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
| Outputs |
|---|
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) 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 x #s(literal 1/2 binary64) #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 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (log.f64 x)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 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)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64)))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #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 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (log.f64 x)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 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 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) |
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x)) (log.f64 #s(literal -1 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #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 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
| 6 342× | lower-fma.f64 |
| 6 342× | lower-fma.f32 |
| 3 928× | lower-*.f32 |
| 3 926× | lower-*.f64 |
| 3 072× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 54 |
| 0 | 20 | 54 |
| 1 | 85 | 48 |
| 2 | 600 | 48 |
| 3 | 7047 | 48 |
| 0 | 8844 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #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) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
#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 #s(literal -1/2 binary64) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
Compiled 989 to 132 computations (86.7% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 4 | 102 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 99 | 11 | 110 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 98.8% | (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) |
| ✓ | 99.2% | #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))) |
| ✓ | 99.2% | #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) |
| ✓ | 98.8% | #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
| ✓ | 97.9% | #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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) x)))) | |
| 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x)))) | |
| 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) | |
| 2.7% | #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #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 199 to 88 computations (55.8% saved)
| 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 (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x 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) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #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 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #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)) |
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x 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)))) |
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
| Outputs |
|---|
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
5 calls:
| 6.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 4.0ms | (/.f64 #s(literal 1 binary64) x) |
| 4.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 4.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 100.0% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 100.0% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 100.0% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 27 to 19 computations (29.6% saved)
| 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 (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x 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) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #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 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #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)) |
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x 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)))) |
| Outputs |
|---|
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
5 calls:
| 5.0ms | x |
| 4.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 4.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 4.0ms | (/.f64 #s(literal 1 binary64) x) |
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 100.0% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 100.0% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 100.0% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 27 to 19 computations (29.6% saved)
| 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 (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x 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) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #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 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #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)) |
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x 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:
| 6.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 4.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 4.0ms | (/.f64 #s(literal 1 binary64) x) |
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 99.2% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 99.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 99.2% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 27 to 19 computations (29.6% saved)
| 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 (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x 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) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #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 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #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)) |
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x 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:
| 5.0ms | (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 | (/.f64 #s(literal 1 binary64) x) |
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 99.2% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 99.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 99.2% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 27 to 19 computations (29.6% saved)
| 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 (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x 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) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #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 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #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)) |
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) |
5 calls:
| 24.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 3.0ms | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 3.0ms | (/.f64 #s(literal 1 binary64) x) |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 98.8% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 98.8% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 98.8% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 27 to 19 computations (29.6% saved)
| 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 (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x 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) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #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 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #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:
| 3.0ms | (/.f64 #s(literal 1 binary64) x) |
| 3.0ms | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 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 | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
| 97.9% | 1 | (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| 97.9% | 1 | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| 97.9% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 97.9% | 1 | (/.f64 #s(literal 1 binary64) x) |
Compiled 27 to 19 computations (29.6% saved)
| 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 (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x 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) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #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 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) |
5 calls:
| 18.0ms | (-.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 | (neg.f64 (log.f64 (-.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 |
|---|---|---|
| 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 27 to 19 computations (29.6% 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 (*.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 x (/.f64 #s(literal 2 binary64) x)))) |
| 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)))) |
5 calls:
| 2.0ms | (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 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 2.0ms | (/.f64 #s(literal 1 binary64) x) |
| 1.0ms | 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 27 to 19 computations (29.6% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 6× | *-commutative_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 120 |
| 1 | 50 | 120 |
| 2 | 58 | 120 |
| 3 | 65 | 120 |
| 4 | 66 | 120 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 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)))) |
| Outputs |
|---|
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 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 #s(literal 1/2 binary64) (*.f64 x x)))) |
| 11 930× | lower-fma.f64 |
| 11 930× | lower-fma.f32 |
| 6 936× | lower-fma.f32 |
| 6 932× | lower-fma.f64 |
| 6 662× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 54 |
| 0 | 20 | 54 |
| 1 | 85 | 48 |
| 2 | 600 | 48 |
| 3 | 7047 | 48 |
| 0 | 8844 | 43 |
| 0 | 100 | 919 |
| 1 | 299 | 874 |
| 2 | 704 | 856 |
| 3 | 2581 | 832 |
| 4 | 6872 | 830 |
| 0 | 8217 | 788 |
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 38 | 21 |
| 2 | 236 | 21 |
| 3 | 2504 | 21 |
| 0 | 9279 | 18 |
| 0 | 27 | 109 |
| 0 | 34 | 109 |
| 1 | 154 | 107 |
| 2 | 1171 | 107 |
| 0 | 8788 | 99 |
| 0 | 19 | 79 |
| 0 | 29 | 79 |
| 1 | 120 | 78 |
| 2 | 854 | 78 |
| 0 | 8196 | 73 |
| 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× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 141 to 75 computations (46.8% saved)
Compiled 134 to 56 computations (58.2% saved)
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