
Time bar (total: 7.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 1.6s | 2 594× | 5 | exit |
| 615.0ms | 8 256× | 0 | valid |
ival-log1p: 889.0ms (53.1% of total)adjust: 365.0ms (21.8% of total)ival-mult: 148.0ms (8.8% of total)ival-exp: 135.0ms (8.1% of total)ival-sub: 123.0ms (7.3% of total)ival-true: 10.0ms (0.6% of total)ival-assert: 5.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 62 | (-3.877143524329689e+173 2.2359348042635108e-67) | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| 0 | 0 | - | 0 | - | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (exp.f64 x)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) | sensitivity | 62 | 0 |
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) | oflow-rescue | 1 | 0 |
| ↳ | (exp.f64 x) | overflow | 1 | |
| ↳ | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 62 | 193 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 62 | 0 | 193 |
| number | freq |
|---|---|
| 0 | 193 |
| 1 | 63 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-log1p: 5.0ms (25.9% of total)ival-exp: 4.0ms (20.7% of total)ival-mult: 4.0ms (20.7% of total)ival-add: 2.0ms (10.4% of total)ival-sub: 2.0ms (10.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 51 |
| 1 | 52 | 49 |
| 2 | 123 | 49 |
| 3 | 285 | 49 |
| 4 | 1170 | 49 |
| 5 | 5694 | 49 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 23 | 9 |
| 2 | 46 | 9 |
| 3 | 97 | 9 |
| 4 | 316 | 9 |
| 5 | 2915 | 9 |
| 0 | 8106 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 9 to 8 computations (11.1% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | |
| cost-diff | 0 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) | |
| cost-diff | 2 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 0 | 13 | 26 |
| 1 | 23 | 26 |
| 2 | 46 | 26 |
| 3 | 97 | 26 |
| 4 | 316 | 26 |
| 5 | 2915 | 26 |
| 0 | 8106 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(*.f64 x y) |
y |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(*.f64 x y) |
(*.f64 y x) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.0078125 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) | |
| accuracy | 0.01171875 | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | |
| accuracy | 0.2654655789134437 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| 16.0ms | 256× | 0 | valid |
Compiled 28 to 10 computations (64.3% saved)
ival-exp: 2.0ms (21.7% of total)ival-mult: 2.0ms (21.7% of total)ival-log1p: 2.0ms (21.7% of total)ival-add: 1.0ms (10.8% of total)ival-sub: 1.0ms (10.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 x) |
| Outputs |
|---|
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | inf | ((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x)) |
| 19.0ms | x | @ | -inf | ((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x)) |
| 3.0ms | y | @ | 0 | ((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x)) |
| 1.0ms | y | @ | -inf | ((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x)) |
| 1.0ms | y | @ | inf | ((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 379 |
| 1 | 241 | 379 |
| 2 | 701 | 379 |
| 3 | 2236 | 379 |
| 4 | 5579 | 379 |
| 0 | 8529 | 311 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
| Outputs |
|---|
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (+ 1 (exp x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 0 | 13 | 20 |
| 1 | 49 | 20 |
| 0 | 364 | 16 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 x) |
| Outputs |
|---|
(log1p.f64 (exp.f64 x)) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (log1p.f64 (exp.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x))) |
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 y) x)) |
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) y)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(exp.f64 (+.f64 #s(literal 0 binary64) x)) |
(exp.f64 x) |
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
Compiled 1 090 to 283 computations (74% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 58 | 11 | 69 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 59 | 11 | 70 |
| Status | Accuracy | Program |
|---|---|---|
| 70.6% | (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) | |
| ▶ | 85.1% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
| ▶ | 74.3% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y)) |
| ▶ | 92.9% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| 81.4% | (-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y)) | |
| 83.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) | |
| 85.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) | |
| ▶ | 99.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
| ▶ | 46.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| 55.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) | |
| 53.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
Compiled 372 to 288 computations (22.6% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) | |
| cost-diff | 0 | (-.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) | |
| cost-diff | 0 | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | (/.f64 (log1p.f64 (exp.f64 x)) y) | |
| cost-diff | 0 | (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 195 |
| 0 | 52 | 195 |
| 1 | 71 | 195 |
| 2 | 130 | 195 |
| 3 | 319 | 195 |
| 4 | 1047 | 195 |
| 5 | 6953 | 195 |
| 0 | 8226 | 195 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y) |
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) |
(/.f64 (log1p.f64 (exp.f64 x)) y) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
x |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x y) |
x |
y |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) |
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) |
(-.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
(*.f64 x y) |
y |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(*.f64 x y) |
y |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y) |
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) |
(/.f64 (log1p.f64 (exp.f64 x)) y) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
x |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))) |
(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) |
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) |
(-.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
(*.f64 x y) |
(*.f64 y x) |
y |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(*.f64 x y) |
(*.f64 y x) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0078125 | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) | |
| accuracy | 0.2654655789134437 | (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) | |
| accuracy | 16.181426633703637 | #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0078125 | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y)) | |
| accuracy | 0.2654655789134437 | (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) | |
| accuracy | 16.890785985496112 | #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0078125 | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) | |
| accuracy | 0.2654655789134437 | (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) | |
| accuracy | 14.803589330649325 | #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.f64 (neg.f64 x) y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 34.04532361130433 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) | |
| accuracy | 0.0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) | |
| accuracy | 0.10546875 | (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y) | |
| accuracy | 0.1640625 | (/.f64 (log1p.f64 (exp.f64 x)) y) | |
| accuracy | 0.2615593289134437 | (log1p.f64 (exp.f64 x)) |
| 69.0ms | 256× | 0 | valid |
Compiled 155 to 23 computations (85.2% saved)
ival-mult: 22.0ms (58.5% of total)ival-add: 3.0ms (8% of total)ival-sub: 3.0ms (8% of total)ival-log1p: 3.0ms (8% of total)ival-div: 2.0ms (5.3% of total)ival-exp: 2.0ms (5.3% of total)ival-neg: 1.0ms (2.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y) |
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) |
(/.f64 (log1p.f64 (exp.f64 x)) y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
(*.f64 x y) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) |
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) |
(-.f64 x #s(literal -2 binary64)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(log1p.f64 (exp.f64 x)) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log 2))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (- x -2) #s(hole binary64 2)) |
#s(approx (- x -2) #s(hole binary64 (+ 2 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (- x -2) #s(hole binary64 x)) |
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | y | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* 1/2 x) 1) x) 2) (log (+ 1 (exp x)))) |
| 12.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* 1/2 x) 1) x) 2) (log (+ 1 (exp x)))) |
| 9.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* 1/2 x) 1) x) 2) (log (+ 1 (exp x)))) |
| 8.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* 1/2 x) 1) x) 2) (log (+ 1 (exp x)))) |
| 8.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ (* (+ (* 1/2 x) 1) x) 2) (log (+ 1 (exp x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 1033 |
| 1 | 517 | 1023 |
| 2 | 1602 | 973 |
| 3 | 5477 | 971 |
| 0 | 8816 | 797 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log 2))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (- x -2) #s(hole binary64 2)) |
#s(approx (- x -2) #s(hole binary64 (+ 2 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (- x -2) #s(hole binary64 x)) |
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) y)) |
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (neg x) y) (*.f64 (neg.f64 x) y)) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x))) |
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* x y) (*.f64 y x)) |
#s(approx (- x -2) #s(hole binary64 2)) |
#s(approx (- x -2) #s(literal 2 binary64)) |
#s(approx (- x -2) #s(hole binary64 (+ 2 x))) |
#s(approx (- x -2) (-.f64 x #s(literal -2 binary64))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(literal 2 binary64)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (-.f64 x #s(literal -2 binary64))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (neg.f64 x)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log1p.f64 (exp.f64 x)) y)) |
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x))) |
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (+ 1 (exp x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
#s(approx (- x -2) #s(hole binary64 x)) |
#s(approx (- x -2) x) |
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x)))))) |
#s(approx (- x -2) (-.f64 x #s(literal -2 binary64))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (log1p.f64 (exp.f64 x)) y)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 168 |
| 0 | 52 | 168 |
| 1 | 177 | 168 |
| 0 | 1271 | 168 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y) |
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) |
(/.f64 (log1p.f64 (exp.f64 x)) y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
(*.f64 x y) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) |
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) |
(-.f64 x #s(literal -2 binary64)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
(log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(log1p.f64 (exp.f64 x)) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y) |
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) y) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x))) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) |
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (log1p.f64 (exp.f64 x))) (neg.f64 y)) |
(/.f64 (log1p.f64 (exp.f64 x)) y) |
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 x))) y)) |
(neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) (neg.f64 y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 y) x) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(neg.f64 (*.f64 y x)) |
(neg.f64 x) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(fma.f64 y (neg.f64 x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(fma.f64 x (neg.f64 y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (neg.f64 x))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x)) |
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 (neg.f64 x) y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) |
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) |
#s(approx (+ 1 (exp x)) #s(literal 2 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))) |
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))) |
(fma.f64 y (neg.f64 x) (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))) |
(fma.f64 x (neg.f64 y) (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 (neg.f64 y) (neg.f64 x))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 y x)) |
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 (neg.f64 x) y) (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))) |
(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) |
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -4 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -4 binary64)) (+.f64 #s(literal -2 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))))) |
(-.f64 x #s(literal -2 binary64)) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) |
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) |
(fma.f64 y (neg.f64 x) (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) |
(fma.f64 x (neg.f64 y) (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (neg.f64 x))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 y x)) |
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 (neg.f64 x) y) (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(log1p.f64 (exp.f64 x)) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) |
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
Compiled 3 874 to 542 computations (86% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 148 | 6 | 154 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 151 | 14 | 165 |
| Status | Accuracy | Program |
|---|---|---|
| 65.8% | (/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) | |
| ✓ | 85.1% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
| ✓ | 74.3% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y)) |
| 12.3% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(approx (- x -2) x))) (*.f64 x y)) | |
| ✓ | 92.9% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| ▶ | 81.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
| 83.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) | |
| ▶ | 85.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
| ▶ | 92.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)) |
| ✓ | 46.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| ▶ | 83.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
| 85.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) | |
| 55.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) | |
| ▶ | 53.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
Compiled 527 to 366 computations (30.6% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) | |
| cost-diff | 0 | #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (log.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (log.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 326 |
| 0 | 57 | 326 |
| 1 | 92 | 326 |
| 2 | 195 | 326 |
| 3 | 517 | 326 |
| 4 | 1570 | 326 |
| 5 | 6748 | 326 |
| 0 | 8151 | 302 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)) |
(*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y) |
(-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
y |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
x |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)) |
(*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y) |
(-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
y |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
x |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) | |
| accuracy | 0.10546875 | (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y) | |
| accuracy | 0.23046875 | (/.f64 (log.f64 #s(literal 2 binary64)) y) | |
| accuracy | 11.768165849657345 | #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) | |
| accuracy | 0.05859375 | (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) | |
| accuracy | 11.88021378590159 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0.0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 0.01953125 | (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) | |
| accuracy | 9.04446785128456 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 29.796306772517084 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) | |
| accuracy | 0.0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)) | |
| accuracy | 0.10546875 | (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y) | |
| accuracy | 0.23046875 | (/.f64 (log.f64 #s(literal 2 binary64)) y) | |
| accuracy | 17.059810381557956 | #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
| 63.0ms | 256× | 0 | valid |
Compiled 224 to 34 computations (84.8% saved)
ival-mult: 16.0ms (36.3% of total)ival-add: 6.0ms (13.6% of total)ival-div: 5.0ms (11.3% of total)ival-sub: 5.0ms (11.3% of total)const: 4.0ms (9.1% of total)ival-log1p: 3.0ms (6.8% of total)ival-exp: 2.0ms (4.5% of total)ival-log: 2.0ms (4.5% of total)exact: 1.0ms (2.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)) |
(*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y) |
(-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log 2))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (log 2) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* 1/8 (/ (pow x 2) y)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/8 (/ 1 y)) (/ (log 2) (* (pow x 2) y)))) (/ 1 x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 y)) 1)) (* -1 (/ (log 2) (* x y)))) x)) (* 1/8 (/ 1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) y))) |
#s(approx (/ (log 2) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (+ (* -1 (log 2)) (* -1 (* x (+ 1/2 (* 1/8 x))))) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | x | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/ (log 2) y)) |
| 22.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/ (log 2) y)) |
| 20.0ms | y | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/ (log 2) y)) |
| 18.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/ (log 2) y)) |
| 15.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/ (log 2) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 336 | 2240 |
| 1 | 886 | 2210 |
| 2 | 3001 | 2192 |
| 0 | 9019 | 1907 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log 2))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (log 2) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* 1/8 (/ (pow x 2) y)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/8 (/ 1 y)) (/ (log 2) (* (pow x 2) y)))) (/ 1 x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 y)) 1)) (* -1 (/ (log 2) (* x y)))) x)) (* 1/8 (/ 1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) y))) |
#s(approx (/ (log 2) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (+ (* -1 (log 2)) (* -1 (* x (+ 1/2 (* 1/8 x))))) y))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log 2))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (log.f64 #s(literal 2 binary64))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y)))) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2))))) |
#s(approx (+ (* (* x x) -1/192) 1/8) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (log 2) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (neg.f64 x) y)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (neg.f64 x)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) x (neg.f64 x))) |
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log1p.f64 (exp.f64 x)) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (*.f64 x x)) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (*.f64 x x))) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (*.f64 x x)) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) (*.f64 (*.f64 x x) #s(literal -1/192 binary64))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) x) x)) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* 1/8 (/ (pow x 2) y)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/8 binary64))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/8 (/ 1 y)) (/ (log 2) (* (pow x 2) y)))) (/ 1 x))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) x) #s(literal -1/8 binary64)) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) (*.f64 x x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) x (neg.f64 x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/192 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 y)) 1)) (* -1 (/ (log 2) (* x y)))) x)) (* 1/8 (/ 1 y)))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) x)) (*.f64 x x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (log1p.f64 (exp.f64 x))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (log1p.f64 (exp.f64 x)) y)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (fma.f64 (neg.f64 x) (-.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (/ (log 2) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (log 2) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) (neg.f64 y)) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 x) y)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (neg.f64 x)) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (+ (* -1 (log 2)) (* -1 (* x (+ 1/2 (* 1/8 x))))) y))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 270 |
| 0 | 57 | 270 |
| 1 | 240 | 270 |
| 0 | 1930 | 246 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)) |
(*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y) |
(-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)) |
(*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y) |
(*.f64 y (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (*.f64 x x)) y) (+.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (*.f64 x x))) (+.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)) |
(/.f64 (*.f64 y (-.f64 (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)) (/.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x))) |
(-.f64 (/.f64 (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) (pow.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64))))) |
(-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) |
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))) |
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(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
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(-.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/192 binary64) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64)))) (/.f64 #s(literal 1/512 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64))))) |
(+.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y) |
(*.f64 y #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(fma.f64 x (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))) (/.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64))) x)) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)) |
(/.f64 (neg.f64 (log.f64 #s(literal 1/2 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 y)) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
(neg.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) y)) |
(neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 y))) |
Compiled 7 949 to 920 computations (88.4% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 207 | 8 | 215 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 212 | 17 | 229 |
| Status | Accuracy | Program |
|---|---|---|
| 65.8% | (/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) | |
| ✓ | 85.1% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
| ✓ | 74.3% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y)) |
| ✓ | 92.9% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| 58.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) | |
| ▶ | 83.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
| 54.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) | |
| 68.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))) | |
| ✓ | 92.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)) |
| ✓ | 46.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| ▶ | 85.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
| ▶ | 28.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
| 5.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/8 binary64)))) y)) | |
| 55.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) | |
| ✓ | 53.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
| ▶ | 85.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x))) |
| ▶ | 34.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
Compiled 779 to 539 computations (30.8% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) | |
| cost-diff | 0 | #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) | |
| cost-diff | 0 | #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) | |
| cost-diff | 0 | (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x) | |
| cost-diff | 0 | #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 541 |
| 0 | 89 | 541 |
| 1 | 134 | 541 |
| 2 | 249 | 541 |
| 3 | 510 | 541 |
| 4 | 1171 | 541 |
| 5 | 5767 | 541 |
| 0 | 8025 | 503 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)) |
(*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x) |
(-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) |
(/.f64 (log.f64 #s(literal 2 binary64)) x) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
#s(literal -1/2 binary64) |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(literal -1/8 binary64) |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 x x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
x |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
x |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)) |
(*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x) |
(-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) |
(/.f64 (log.f64 #s(literal 2 binary64)) x) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
#s(literal -1/2 binary64) |
y |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x))))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x))))) y) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(literal -1/8 binary64) |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 x x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
x |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
x |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) | |
| accuracy | 0.10546875 | (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y) | |
| accuracy | 0.23046875 | (/.f64 (log.f64 #s(literal 2 binary64)) y) | |
| accuracy | 9.054033044626625 | #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) | |
| accuracy | 0.01171875 | (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) | |
| accuracy | 11.88021378590159 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) | |
| accuracy | 16.898175938930525 | #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) | |
| accuracy | 0.14453125 | (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) | |
| accuracy | 11.768165849657345 | #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) | |
| accuracy | 25.40307164978101 | (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) | |
| accuracy | 33.66388966817907 | #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0.0 | (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) | |
| accuracy | 9.04446785128456 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) | |
| accuracy | 33.688118919597684 | #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) | |
| accuracy | 0.00390625 | (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) | |
| accuracy | 0.10546875 | (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x) | |
| accuracy | 0.203125 | (/.f64 (log.f64 #s(literal 2 binary64)) x) | |
| accuracy | 9.04446785128456 | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x))) |
| 91.0ms | 256× | 0 | valid |
Compiled 295 to 50 computations (83.1% saved)
ival-div: 18.0ms (27.8% of total)ival-mult: 18.0ms (27.8% of total)ival-sub: 10.0ms (15.4% of total)ival-add: 7.0ms (10.8% of total)const: 4.0ms (6.2% of total)ival-log1p: 3.0ms (4.6% of total)ival-exp: 2.0ms (3.1% of total)ival-log: 2.0ms (3.1% of total)exact: 1.0ms (1.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)) |
(*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x) |
(-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(/.f64 (log.f64 #s(literal 2 binary64)) x) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (log 2))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (/ (log 2) x))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log 2))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (log 2) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2))))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (log 2) y))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (/ (log 2) x) #s(hole binary64 (/ (log 2) x))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)))) |
#s(approx (/ (- (/ 1/2 x) -1/8) y) #s(hole binary64 (/ 1/2 (* x y)))) |
#s(approx (/ (- (/ 1/2 x) -1/8) y) #s(hole binary64 (/ (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (- 1/2 y))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (- (+ 1/2 (/ (log 2) x)) y))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* 1/8 (/ (pow x 2) y)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/8 (/ 1 y)) (/ (log 2) (* (pow x 2) y)))) (/ 1 x))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (* x (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (* x (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1)))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (* 1/8 (/ (pow x 2) y)))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))) |
#s(approx (/ (- (/ 1/2 x) -1/8) y) #s(hole binary64 (/ 1/8 y))) |
#s(approx (/ (- (/ 1/2 x) -1/8) y) #s(hole binary64 (+ (* 1/8 (/ 1 y)) (* 1/2 (/ 1 (* x y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 y)) 1)) (* -1 (/ (log 2) (* x y)))) x)) (* 1/8 (/ 1 y)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 (* x (+ (* -1 (- (* 1/2 (/ 1 y)) 1)) (* -1 (/ (log 2) (* x y)))))))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- 1 (* 1/2 (/ 1 y))) x)) (* 1/8 (/ 1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* x (+ 1/2 (/ (log 2) x))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (+ (* -1 (* x y)) (* x (+ 1/2 (/ (log 2) x)))))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (+ 1/2 (/ (log 2) x)))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (+ 1/2 (+ (* -1 y) (/ (log 2) x))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x)))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) y))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (* 1/2 x)) y))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) y))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (/ (+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))) y))) |
#s(approx (/ (- (/ 1/2 x) -1/8) y) #s(hole binary64 (/ (+ 1/8 (* 1/2 (/ 1 x))) y))) |
#s(approx (/ (log 2) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y))))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (* -1 y))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1)))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y)))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (* -1 x))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y))))))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (/ (log 2) x)) y))))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (+ (* -1 (log 2)) (* -1 (* x (+ 1/2 (* 1/8 x))))) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (+ (* -1 (log 2)) (* -1/2 x)) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 774.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (/ (log 2) x) (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (/ (- (/ 1/2 x) -1/8) y) (/ (log 2) y)) |
| 20.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (/ (log 2) x) (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (/ (- (/ 1/2 x) -1/8) y) (/ (log 2) y)) |
| 20.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (/ (log 2) x) (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (/ (- (/ 1/2 x) -1/8) y) (/ (log 2) y)) |
| 13.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (/ (log 2) x) (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (/ (- (/ 1/2 x) -1/8) y) (/ (log 2) y)) |
| 13.0ms | y | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (/ (log 2) x) (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (/ (- (/ 1/2 x) -1/8) y) (/ (log 2) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 442 | 3101 |
| 1 | 1144 | 3068 |
| 2 | 3854 | 3051 |
| 0 | 8524 | 2764 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (log 2))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (/ (log 2) x))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log 2))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (log 2) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2))))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (log 2) y))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)))) |
#s(approx (/ (log 2) x) #s(hole binary64 (/ (log 2) x))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)))) |
#s(approx (/ (- (/ 1/2 x) -1/8) y) #s(hole binary64 (/ 1/2 (* x y)))) |
#s(approx (/ (- (/ 1/2 x) -1/8) y) #s(hole binary64 (/ (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y)))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (- 1/2 y))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (- (+ 1/2 (/ (log 2) x)) y))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* 1/8 (/ (pow x 2) y)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/8 (/ 1 y)) (/ (log 2) (* (pow x 2) y)))) (/ 1 x))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (* x (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (* x (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1)))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (* 1/8 (/ (pow x 2) y)))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x))))) |
#s(approx (/ (- (/ 1/2 x) -1/8) y) #s(hole binary64 (/ 1/8 y))) |
#s(approx (/ (- (/ 1/2 x) -1/8) y) #s(hole binary64 (+ (* 1/8 (/ 1 y)) (* 1/2 (/ 1 (* x y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y)))))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 y)) 1)) (* -1 (/ (log 2) (* x y)))) x)) (* 1/8 (/ 1 y)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 (* x (+ (* -1 (- (* 1/2 (/ 1 y)) 1)) (* -1 (/ (log 2) (* x y)))))))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- 1 (* 1/2 (/ 1 y))) x)) (* 1/8 (/ 1 y)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* x (+ 1/2 (/ (log 2) x))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (+ (* -1 (* x y)) (* x (+ 1/2 (/ (log 2) x)))))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (+ 1/2 (/ (log 2) x)))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (+ 1/2 (+ (* -1 y) (/ (log 2) x))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x)))) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) y))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (* 1/2 x)) y))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) y))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (/ (+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))) y))) |
#s(approx (/ (- (/ 1/2 x) -1/8) y) #s(hole binary64 (/ (+ 1/8 (* 1/2 (/ 1 x))) y))) |
#s(approx (/ (log 2) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y))))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (* -1 y))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1)))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y)))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (* -1 x))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y))))))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (/ (log 2) x)) y))))))) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y))))))) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (+ (* -1 (log 2)) (* -1 (* x (+ 1/2 (* 1/8 x))))) y))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (+ (* -1 (log 2)) (* -1/2 x)) y))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) x) x #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (log 2))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) (log.f64 #s(literal 2 binary64))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (+ (log 2) (* x (- 1/2 y))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (/ (log 2) x))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x)) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y)))) |
#s(approx (* (- 1/2 y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
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#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/192 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 (* x (+ (* -1 (- (* 1/2 (/ 1 y)) 1)) (* -1 (/ (log 2) (* x y)))))))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) x)) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- 1 (* 1/2 (/ 1 y))) x)) (* 1/8 (/ 1 y)))))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/8 binary64) y)) (*.f64 x x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* x (+ 1/2 (/ (log 2) x))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) x)) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (+ (* -1 (* x y)) (* x (+ 1/2 (/ (log 2) x)))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (+ 1/2 (/ (log 2) x)))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (+ 1/2 (+ (* -1 y) (/ (log 2) x))))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x)))) |
#s(approx (* (- 1/2 y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (- 1/2 y) #s(hole binary64 1/2)) |
#s(approx (- 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y)))) |
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (log1p.f64 (exp.f64 x))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (log1p.f64 (exp.f64 x)) y)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) y)) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) y))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (fma.f64 (neg.f64 x) (-.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) x) x #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) x) x #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (* 1/2 x)) y))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) y))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) y)) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (*.f64 x (/.f64 x y)))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (/ (+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))) y))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (/.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) x) x (*.f64 (neg.f64 x) y)) y)) |
#s(approx (/ (- (/ 1/2 x) -1/8) y) #s(hole binary64 (/ (+ 1/8 (* 1/2 (/ 1 x))) y))) |
#s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y)) |
#s(approx (/ (log 2) y) #s(hole binary64 (/ (log 2) y))) |
#s(approx (/ (log 2) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) (*.f64 (neg.f64 x) y)) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) x) y)) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (* -1 y))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) (neg.f64 y)) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1)))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y)) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 x) y)) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y)))))) |
#s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1/2 y) (neg.f64 y)) |
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1)))) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (neg.f64 x)) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 x) y)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (neg.f64 x)) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x)) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (* -1 x))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (neg.f64 x)) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) #s(hole binary64 (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))) |
#s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (*.f64 x (/.f64 x y)) (neg.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y))))))) |
#s(approx (* (- (- (/ (log 2) x) -1/2) y) x) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) x) y)) |
#s(approx (- (- (/ (log 2) x) -1/2) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (/ (log 2) x)) y))))))) |
#s(approx (- (- (/ (log 2) x) -1/2) y) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y)) |
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y))))))) |
#s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)) |
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y))))))) |
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))))) |
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (+ (* -1 (log 2)) (* -1 (* x (+ 1/2 (* 1/8 x))))) y))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))) y) x) y)) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))))) |
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (+ (* -1 (log 2)) (* -1/2 x)) y))))) |
#s(approx (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 471 |
| 0 | 89 | 471 |
| 1 | 354 | 471 |
| 0 | 2836 | 433 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)) |
(*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x) |
(-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(/.f64 (log.f64 #s(literal 2 binary64)) x) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)) |
(*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x) |
(*.f64 x (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y y)) x) (+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y y))) (+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal -1/2 binary64) y) (+.f64 #s(literal -1/2 binary64) y))) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (+.f64 #s(literal -1/2 binary64) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal -1/2 binary64) y) (+.f64 #s(literal -1/2 binary64) y) (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (+.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y y)) (+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)) |
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)) (/.f64 (*.f64 y y) (+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 y (+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))) |
(-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (+.f64 #s(literal -1/2 binary64) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64)))))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64)))))) y) |
(*.f64 y #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64))))))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))) x)) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))) (*.f64 y y)) (+.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y)) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (fma.f64 y y (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 x #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) |
(-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))) x)) |
(-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 x) #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x)) |
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
(*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y) |
(*.f64 y #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))) |
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))) (/.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) x)) |
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)) |
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) |
(/.f64 (neg.f64 (log.f64 #s(literal 1/2 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 x)) |
(/.f64 (log.f64 #s(literal 2 binary64)) x) |
(neg.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) |
(neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 x))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64))) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64))) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64))))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64))))) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)) |
(*.f64 x (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64))) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (*.f64 x x)) (+.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) x) y) (*.f64 x x)) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) x) y)) (*.f64 y x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 (/.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal -1/8 binary64) y))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal -1/8 binary64) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal -1/8 binary64) y) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal -1/8 binary64) y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (*.f64 y #s(literal -1/8 binary64))) (*.f64 y y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal -1/512 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 #s(literal -1/16 binary64) x)) y)) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64))) (neg.f64 y)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64))) y)) |
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (neg.f64 y))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal -1/8 binary64) y)) |
(/.f64 (neg.f64 (log.f64 #s(literal 1/2 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 y)) |
(/.f64 (log.f64 #s(literal 2 binary64)) y) |
(neg.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) y)) |
(neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 y))) |
Compiled 10 592 to 1 215 computations (88.5% saved)
25 alts after pruning (17 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 237 | 11 | 248 |
| Fresh | 0 | 6 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 240 | 25 | 265 |
| Status | Accuracy | Program |
|---|---|---|
| 65.8% | (/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) | |
| ✓ | 85.1% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
| ✓ | 74.3% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y)) |
| ✓ | 92.9% | (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
| 58.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) | |
| 56.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) | |
| 54.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) | |
| 68.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))) | |
| ✓ | 92.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)) |
| ✓ | 46.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
| ✓ | 85.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
| 21.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) x) y) (*.f64 x x)) (*.f64 y x)))) y)) | |
| 30.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) | |
| 28.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 #s(literal 1/8 binary64) y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) | |
| 5.8% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/8 binary64)))) y)) | |
| 31.9% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)))) y)) | |
| 34.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)))) y)) | |
| 5.5% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (*.f64 x (/.f64 x y)))))) y)) | |
| 55.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) | |
| ✓ | 53.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
| 16.0% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) | |
| ✓ | 34.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
| 54.3% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (- (/ (log 2) x) -1/2) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) x))) | |
| 3.6% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) | |
| 34.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
Compiled 1 998 to 808 computations (59.6% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/8 binary64)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (*.f64 x (/.f64 x y)))))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 #s(literal 1/8 binary64) y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) x) y) (*.f64 x x)) (*.f64 y x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(approx (- x -2) x))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (- (/ (log 2) x) -1/2) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
3 calls:
| 31.0ms | y |
| 9.0ms | x |
| 8.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 99.6% | 1 | x |
| 99.6% | 1 | y |
Compiled 11 to 12 computations (-9.1% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/8 binary64)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (*.f64 x (/.f64 x y)))))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 #s(literal 1/8 binary64) y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) x) y) (*.f64 x x)) (*.f64 y x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(approx (- x -2) x))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (- (/ (log 2) x) -1/2) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
3 calls:
| 16.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 8.0ms | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 2 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 99.0% | 2 | x |
| 92.9% | 1 | y |
Compiled 11 to 12 computations (-9.1% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/8 binary64)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (*.f64 x (/.f64 x y)))))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 #s(literal 1/8 binary64) y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) x) y) (*.f64 x x)) (*.f64 y x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(approx (- x -2) x))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (- (/ (log 2) x) -1/2) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/8 binary64)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (*.f64 x (/.f64 x y)))))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 #s(literal 1/8 binary64) y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) x) y) (*.f64 x x)) (*.f64 y x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(approx (- x -2) x))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/8 binary64)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (*.f64 x (/.f64 x y)))))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 #s(literal 1/8 binary64) y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) x) y) (*.f64 x x)) (*.f64 y x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(approx (- x -2) x))) (*.f64 x y)) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/8 binary64)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (*.f64 x (/.f64 x y)))))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 #s(literal 1/8 binary64) y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) x) y) (*.f64 x x)) (*.f64 y x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 78.4% | 2 | x |
Compiled 10 to 10 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/8 binary64)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (*.f64 x (/.f64 x y)))))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 #s(literal 1/8 binary64) y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) x) y) (*.f64 x x)) (*.f64 y x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
1 calls:
| 18.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/8 binary64)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(approx (* (- (/ (- (/ 1/2 x) -1/8) y) (/ 1 x)) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) (*.f64 x (/.f64 x y)))))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 #s(literal 1/8 binary64) y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 #s(approx (/ (- (/ 1/2 x) -1/8) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) x) y) (*.f64 x x)) (*.f64 y x)))) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) y)) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
3 calls:
| 4.0ms | x |
| 4.0ms | y |
| 3.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.8% | 1 | x |
| 46.8% | 1 | y |
| 46.8% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 11 to 12 computations (-9.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.6% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 3.6% | 1 | y |
| 3.6% | 1 | x |
Compiled 11 to 12 computations (-9.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -3.766237326614719e+32 | -2989242090513689600.0 |
| 7.0ms | 160× | 0 | valid |
Compiled 402 to 331 computations (17.7% saved)
ival-sub: 1.0ms (23.9% of total)ival-exp: 1.0ms (23.9% of total)ival-log1p: 1.0ms (23.9% of total)ival-mult: 1.0ms (23.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -3.766237326614719e+32 | -2989242090513689600.0 |
Compiled 352 to 301 computations (14.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -3.766237326614719e+32 | -2989242090513689600.0 |
Compiled 322 to 281 computations (12.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -3.766237326614719e+32 | -2989242090513689600.0 |
Compiled 262 to 241 computations (8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 13.437526818293751 | 115.01004616776478 |
| 0.0ms | 3.763092169802996e-32 | 0.6879511248858111 |
Compiled 12 to 13 computations (-8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 13.437526818293751 | 115.01004616776478 |
| 0.0ms | 3.763092169802996e-32 | 0.6879511248858111 |
Compiled 12 to 13 computations (-8.3% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 303 |
| 1 | 87 | 303 |
| 2 | 122 | 303 |
| 3 | 200 | 303 |
| 4 | 563 | 303 |
| 5 | 5091 | 303 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(if (<=.f64 x #s(literal -3000000000000000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -3000000000000000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -3000000000000000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -3000000000000000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 35681192317649/713623846352979940529142984724747568191373312 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 35681192317649/713623846352979940529142984724747568191373312 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(if (<=.f64 x #s(literal -3000000000000000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -3000000000000000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -3000000000000000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -3000000000000000000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 35681192317649/713623846352979940529142984724747568191373312 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)))) |
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 35681192317649/713623846352979940529142984724747568191373312 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 35681192317649/713623846352979940529142984724747568191373312 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)))) |
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 35681192317649/713623846352979940529142984724747568191373312 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 20 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) |
| 1× | fuel |
Compiled 303 to 63 computations (79.2% saved)
Compiled 676 to 178 computations (73.7% saved)
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